Difference between revisions of "Language/Multiple-languages/Vocabulary/Geometry"
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 科目 | |||
! cmn-Hans-CN: | ! cmn-Latn.Pinyin-CN: kēmù | ||
! cmn-Latn.Pinyin-CN: | ! deu-Latn-DE: Fach [n] | ||
! deu-Latn-DE: | ! eng-Latn-US: subject | ||
! fra-Latn-FR: | ! fra-Latn-FR: matière [f] | ||
! jpn-Jpan-JP: | ! jpn-Jpan-JP: 科目 | ||
! jpn-Hrkt-JP: | ! jpn-Hrkt-JP: か↑もく | ||
! rus-Cyrl-RU: | ! rus-Cyrl-RU: предме́т | ||
|- | |- | ||
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|- | |- | ||
| 欧几里得几何 | |||
| 欧几里得几何 | | Ōujīlǐdé jǐhé | ||
| Ōujīlǐdé jǐhé | | euklidische Geometrie | ||
| euklidische Geometrie | | | Euclidean geometry | ||
| géométrie [f] euclidienne | | géométrie [f] euclidienne | ||
| ユークリッド幾何学 | | ユークリッド幾何学 | ||
| ユ↑ークリ-ッドき↑か↓がく | | ユ↑ークリ-ッドき↑か↓がく | ||
| евкли́дова геоме́трия | | евкли́дова геоме́трия | ||
|- | |- | ||
| 平面几何 | |||
| 平面几何 | | píngmiàn jǐhé | ||
| píngmiàn jǐhé | | ebene Geometrie | ||
| ebene Geometrie | | | plane geometry | ||
| géométrie [f] plane | | géométrie [f] plane | ||
| 平面幾何 | | 平面幾何 | ||
| へ↑いめ↓んきか | | へ↑いめ↓んきか | ||
| пло́ская геоме́трия | | пло́ская геоме́трия | ||
|- | |- | ||
| 三角学 | |||
| 三角学 | | sānjiǎo xué | ||
| sānjiǎo xué | | Trigonometrie [f] | ||
| Trigonometrie [f] | | | trigonometry | ||
| trigonométrie [f] | | trigonométrie [f] | ||
| 三角法 | | 三角法 | ||
| さ↑んかくほう | | さ↑んかくほう | ||
| тригономе́трия | | тригономе́трия | ||
|- | |- | ||
| 离散几何与组合几何 | |||
| 离散几何与组合几何 | | lísǎn jǐhé yǔ zǔhé jǐhé | ||
| lísǎn jǐhé yǔ zǔhé jǐhé | | discrete geometry and combinatorial geometry | ||
| | | diskrete Geometrie und kombinatorische Geometrie | ||
| diskrete Geometrie und kombinatorische Geometrie | | | géométrie discrète et géométrie combinatoire | ||
| 離散幾何学と組み合せ幾何学 | | 離散幾何学と組み合せ幾何学 | ||
| り↑さんきか↓がくとく↑みあわ↓せき↑か↓がく | | り↑さんきか↓がくとく↑みあわ↓せき↑か↓がく | ||
| дискре́тная геоме́трия и комбинато́рная геоме́трия | | дискре́тная геоме́трия и комбинато́рная геоме́трия | ||
|- | |- | ||
| 立体几何 | |||
| 立体几何 | | lìtǐ jǐhé | ||
| lìtǐ jǐhé | | Stereometrie [f], räumliche Geometrie, Raumgeometrie [f] | ||
| Stereometrie [f], räumliche Geometrie, Raumgeometrie [f] | | | solid geometry, stereometry | ||
| géométrie [f] dans l'espace | | géométrie [f] dans l'espace | ||
| 立体幾何学 | | 立体幾何学 | ||
| り↑ったいきか↓がく | | り↑ったいきか↓がく | ||
| стереоме́трия | | стереоме́трия | ||
|- | |- | ||
| 凸几何 | |||
| 凸几何 | | tū jǐhé | ||
| tū jǐhé | | Konvexgeometrie [f], konvexe Geometrie | ||
| Konvexgeometrie [f], konvexe Geometrie | | | convex geometry | ||
| géométrie [f] convexe | | géométrie [f] convexe | ||
| 凸幾何学 | | 凸幾何学 | ||
| と↑つきか↓がく | | と↑つきか↓がく | ||
| вы́пуклая геоме́трия | | вы́пуклая геоме́трия | ||
|- | |- | ||
| 非欧几里得几何 | |||
| 非欧几里得几何 | | fēi Ōujīlǐdé jǐhé | ||
| fēi Ōujīlǐdé jǐhé | | nichteuklidische Geometrie | ||
| nichteuklidische Geometrie | | | non-Euclidean geometry | ||
| géométrie [f] non euclidienne | | géométrie [f] non euclidienne | ||
| 非ユークリッド幾何学 | | 非ユークリッド幾何学 | ||
| ひ↑ユークリッドきか↓がく | | ひ↑ユークリッドきか↓がく | ||
| неевкли́дова геоме́трия | | неевкли́дова геоме́трия | ||
|- | |- | ||
| 椭圆几何 | |||
| 椭圆几何 | | tuǒyuán jǐhé | ||
| tuǒyuán jǐhé | | elliptische Geometrie | ||
| Geometrie | | elliptic geometry | ||
| géométrie [f] elliptique | | géométrie [f] elliptique | ||
| 楕円幾何学 | | 楕円幾何学 | ||
| だ↑えんきかが↓く | | だ↑えんきかが↓く | ||
| эллиптическая геометрия | | эллиптическая геометрия | ||
|- | |- | ||
| 双曲几何,罗巴切夫斯基几何 | |||
| 双曲几何,罗巴切夫斯基几何 | | shuāngqū jǐhé, Luóbājièfūsījī jǐhé | ||
| shuāngqū jǐhé, Luóbājièfūsījī jǐhé | | hyperbolische Geometrie | ||
| hyperbolische Geometrie | | | hyperbolic geometry, Lobachevskian geometry | ||
| géométrie [f] hyperbolique | | géométrie [f] hyperbolique | ||
| 双曲幾何学,ボヤイ・ロバチェフスキー幾何学 | | 双曲幾何学,ボヤイ・ロバチェフスキー幾何学 | ||
| そ↑うきょくきか↓がく,ボ↓ヤイ・ロ↑バチェフス↓キーき↑か↓がく | | そ↑うきょくきか↓がく,ボ↓ヤイ・ロ↑バチェフス↓キーき↑か↓がく | ||
| гиперболи́ческая геоме́трия, геоме́трия Лобаче́вского | | гиперболи́ческая геоме́трия, геоме́трия Лобаче́вского | ||
|- | |- | ||
| 球面几何 | |||
| 球面几何 | | qiúmiàn jǐhé | ||
| qiúmiàn jǐhé | | sphärische Geometrie, Kugelgeometrie [f] | ||
| sphärische Geometrie, Kugelgeometrie [f] | | | spherical geometry | ||
| géométrie [f] sphérique | | géométrie [f] sphérique | ||
| 球面幾何学 | | 球面幾何学 | ||
| きゅ↑うめんきか↓がく | | きゅ↑うめんきか↓がく | ||
| сфери́ческая геоме́трия | | сфери́ческая геоме́трия | ||
|- | |- | ||
| 仿射几何 | |||
| 仿射几何 | | fǎngshè jǐhé | ||
| fǎngshè jǐhé | | affine Geometrie | ||
| affine Geometrie | | | affine geometry | ||
| géométrie [f] affine | | géométrie [f] affine | ||
| アフィン幾何学 | | アフィン幾何学 | ||
| ア↓フィンき↑か↓がく | | ア↓フィンき↑か↓がく | ||
| аффи́нная геоме́трия | | аффи́нная геоме́трия | ||
|- | |- | ||
| 射影几何 | |||
| 射影几何 | | shèyǐng jǐhé | ||
| shèyǐng jǐhé | | projektive Geometrie | ||
| projektive Geometrie | | | projective geometry | ||
| géométrie [f] projective | | géométrie [f] projective | ||
| 射影幾何学 | | 射影幾何学 | ||
| しゃ↑えいきか↓がく | | しゃ↑えいきか↓がく | ||
| проекти́вная геоме́трия | | проекти́вная геоме́трия | ||
|- | |- | ||
| 微分几何 | |||
| 微分几何 | | wēifēn jǐhé | ||
| wēifēn jǐhé | | Differentialgeometrie [f] | ||
| Differentialgeometrie [f] | | | differential geometry | ||
| géométrie [f] différentielle | | géométrie [f] différentielle | ||
| 微分幾何 | | 微分幾何 | ||
| び↑ぶ↓んき↑か↓がく | | び↑ぶ↓んき↑か↓がく | ||
| дифференциа́льная геоме́трия | | дифференциа́льная геоме́трия | ||
|- | |- | ||
| 黎曼几何 | |||
| 黎曼几何 | | Límàn jǐhé | ||
| Límàn jǐhé | | riemannsche Geometrie | ||
| riemannsche Geometrie | | | Riemannian geometry | ||
| géométrie [f] riemannienne | | géométrie [f] riemannienne | ||
| リーマン幾何学 | | リーマン幾何学 | ||
| リ↑ーマンきか↓がく | | リ↑ーマンきか↓がく | ||
| риманова геоме́трия | | риманова геоме́трия | ||
|- | |- | ||
| 辛几何 | |||
| 辛几何 | | xīn jǐhé | ||
| xīn jǐhé | | symplektische Geometrie | ||
| symplektische Geometrie | | | symplectic geometry | ||
| géométrie [f] symplectique | | géométrie [f] symplectique | ||
| シンプレクティック幾何学 | | シンプレクティック幾何学 | ||
| シ↑ンプレクティックきか↓がく | | シ↑ンプレクティックきか↓がく | ||
| симплектическая геоме́трия | | симплектическая геоме́трия | ||
|- | |- | ||
| 代数几何 | |||
| 代数几何 | | dàishù jǐhé | ||
| dàishù jǐhé | | algebraische Geometrie | ||
| algebraische Geometrie | | | algebraic geometry | ||
| géométrie [f] algébrique | | géométrie [f] algébrique | ||
| 代数幾何学 | | 代数幾何学 | ||
| だ↑いすうきか↓がく | | だ↑いすうきか↓がく | ||
| алгебраи́ческая геоме́трия | | алгебраи́ческая геоме́трия | ||
|- | |- | ||
| 解析几何,坐标几何,卡氏几何 | |||
| 解析几何,坐标几何,卡氏几何 | | jiěxī jǐhé, zuòbiāo jǐhé, Kǎshì jǐhé | ||
| jiěxī jǐhé, zuòbiāo jǐhé, | | Analytische Geometrie, Vektorgeometrie | ||
| Analytische Geometrie, Vektorgeometrie | | | analytic geometry, coordinate geometry, Cartesian geometry | ||
| géométrie [f] analytique | | géométrie [f] analytique | ||
| 解析幾何学,座標幾何学,デカルト幾何学 | | 解析幾何学,座標幾何学,デカルト幾何学 | ||
| か↑いせききか↓がく,ざ↑ひょうきか↓がく,デ↑カルトきか↓がく | | か↑いせききか↓がく,ざ↑ひょうきか↓がく,デ↑カルトきか↓がく | ||
| аналити́ческая геоме́трия | | аналити́ческая геоме́трия | ||
|- | |- | ||
| 复几何 | |||
| 复几何 | | fù jǐhé | ||
| fù jǐhé | | komplexe Geometrie | ||
| komplexe Geometrie | | | complex geometry | ||
| géométrie [f] complexe | | géométrie [f] complexe | ||
| 複素幾何学 | | 複素幾何学 | ||
| ふ↑くそきか↓がく | | ふ↑くそきか↓がく | ||
| сло́жная геоме́трия | | сло́жная геоме́трия | ||
|- | |- | ||
| 综合几何 | |||
| 综合几何 | | zōnghé jǐhé | ||
| zōnghé jǐhé | | synthetische Geometrie | ||
| synthetische Geometrie | | | synthetic geometry, axiomatic geometry, pure geometry | ||
| géométrie [f] synthétique, géométrie [f] pure | | géométrie [f] synthétique, géométrie [f] pure | ||
| 総合幾何学 | | 総合幾何学 | ||
| そ↑うごうきか↓がく | | そ↑うごうきか↓がく | ||
| синтети́ческий ме́тод | | синтети́ческий ме́тод | ||
|- | |- | ||
| 有限几何 | |||
| 有限几何 | | yǒuxiàn jǐhé | ||
| yǒuxiàn jǐhé | | endliche Geometrie | ||
| endliche Geometrie | | | finite geometry | ||
| géométrie [f] finie | | géométrie [f] finie | ||
| 有限幾何学 | | 有限幾何学 | ||
| ゆ↑うげんきか↓がく | | ゆ↑うげんきか↓がく | ||
| коне́чная геоме́трия | | коне́чная геоме́трия | ||
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|} | |} | ||
== Euclidean Geometry == | |||
=== Plane Geometry === | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 241: | Line 231: | ||
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|- | |- | ||
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| acute angle || angle | |||
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Line 250: | Line 240: | ||
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| acute trapezoid || trapezoid; acute angle | |||
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Line 259: | Line 249: | ||
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| acute triangle || acute angle; triangle | |||
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Line 268: | Line 258: | ||
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|- | |- | ||
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| adjacent angles || angle | |||
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Line 277: | Line 267: | ||
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|- | |- | ||
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| altitude || perpendicularity; base (polygon) | |||
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Line 286: | Line 276: | ||
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|- | |- | ||
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| angle || line | |||
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Line 295: | Line 285: | ||
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|- | |- | ||
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| angle bisector || angle; bisection | |||
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Line 304: | Line 294: | ||
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|- | |- | ||
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| annulus [pl:annuli] || concentric circles | |||
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Line 313: | Line 303: | ||
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|- | |- | ||
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| apex || vertex | |||
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Line 322: | Line 312: | ||
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|- | |- | ||
| | | 圆周率 || | ||
| | | yuánzhōu lǜ || | ||
| | | Kreiszahl [f], Pi [n] || | ||
| | | Archimedes' constant, pi || circumstance; diameter | ||
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Line 331: | Line 321: | ||
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|- | |- | ||
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| aspect ratio || ratio <number theory> | |||
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Line 340: | Line 330: | ||
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|- | |- | ||
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| area || two-dimensional space; plane | |||
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Line 349: | Line 339: | ||
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|- | |- | ||
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| arc length || curve | |||
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Line 358: | Line 348: | ||
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|- | |- | ||
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| auxiliary angle || straight angle | |||
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Line 367: | Line 357: | ||
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|- | |- | ||
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| auxiliary line || mathematical proof <mathematical logic>; line | |||
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Line 376: | Line 366: | ||
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|- | |- | ||
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| base (polygon) || edge | |||
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Line 385: | Line 375: | ||
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|- | |- | ||
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| bisection || | |||
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Line 394: | Line 384: | ||
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|- | |- | ||
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| Cavalieri's principle || plane; parallel lines; intersection; line segment; area | |||
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Line 403: | Line 393: | ||
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|- | |- | ||
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| center || | |||
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Line 412: | Line 402: | ||
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|- | |- | ||
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| centroid || shape; midpoint | |||
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Line 421: | Line 411: | ||
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|- | |- | ||
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| chord || circle | |||
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Line 430: | Line 420: | ||
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|- | |- | ||
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| circle || conic section | |||
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Line 439: | Line 429: | ||
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|- | |- | ||
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| circular sector || disk; radius | |||
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Line 448: | Line 438: | ||
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|- | |- | ||
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| circumcenter || circumcircle; center | |||
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Line 457: | Line 447: | ||
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|- | |- | ||
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| circumference || perimeter; circle; ellipse | |||
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Line 466: | Line 456: | ||
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|- | |- | ||
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| circumradius || circumcircle; radius | |||
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Line 475: | Line 465: | ||
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|- | |- | ||
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| closed line segment || line segment | |||
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Line 484: | Line 474: | ||
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|- | |- | ||
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| complementary angles || adjacent angles; right angle | |||
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Line 493: | Line 483: | ||
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|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| congruent || shape | |||
| || | | || | ||
| || | | || | ||
Line 502: | Line 492: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| conic section || cone; plane; locus; focus; directrix | |||
| || | | || | ||
| || | | || | ||
Line 511: | Line 501: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| concave polygon || simple polygon | |||
| || | | || | ||
| || | | || | ||
Line 520: | Line 510: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| concentric circles || circle | |||
| || | | || | ||
| || | | || | ||
Line 529: | Line 519: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| concyclic, cocyclic || point; circle | |||
| || | | || | ||
| || | | || | ||
Line 538: | Line 528: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| coordinate system || | |||
| || | | || | ||
| || | | || | ||
Line 547: | Line 537: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| curve || | |||
| || | | || | ||
| || | | || | ||
Line 556: | Line 546: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| diameter || circle; end point; center | |||
| || | | || | ||
| || | | || | ||
Line 565: | Line 555: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| disk || plane; circle | |||
| || | | || | ||
| || | | || | ||
Line 574: | Line 564: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| eccentricity || conic section | |||
| || | | || | ||
| || | | || | ||
Line 583: | Line 573: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| edge || line segment; vertex | |||
| || | | || | ||
| || | | || | ||
Line 592: | Line 582: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| edge length || edge; length | |||
| || | | || | ||
| || | | || | ||
Line 601: | Line 591: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| ellipse || conic section | |||
| || | | || | ||
| || | | || | ||
Line 610: | Line 600: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| end point || line segment | |||
| || | | || | ||
| || | | || | ||
Line 619: | Line 609: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| equilateral triangle || triangle (shape); regular polygon | |||
| || | | || | ||
| || | | || | ||
Line 628: | Line 618: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| explementary angles || adjacent angles; turn | |||
| || | | || | ||
| || | | || | ||
Line 637: | Line 627: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| extended side || edge | |||
| || | | || | ||
| || | | || | ||
Line 646: | Line 636: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| exterior angle, external angle || extended side | |||
| || | | || | ||
| || | | || | ||
Line 655: | Line 645: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| exterior angle theorem || exterior angle; round angle | |||
| || | | || | ||
| || | | || | ||
Line 664: | Line 654: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| extreme and mean ratio, golden ratio, golden mean, golden section || | |||
| || | | || | ||
| || | | || | ||
Line 673: | Line 663: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| focus || point; curve | |||
| || | | || | ||
| || | | || | ||
Line 682: | Line 672: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| half-open line segment || line segment | |||
| || | | || | ||
| || | | || | ||
Line 691: | Line 681: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| heptagram, septagram, septegram, septogram || regular star polygon | |||
| || | | || | ||
| || | | || | ||
Line 700: | Line 690: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| hexagon || polygon | |||
| || | | || | ||
| || | | || | ||
Line 709: | Line 699: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| hyperbola || conic section | |||
| || | | || | ||
| || | | || | ||
Line 718: | Line 708: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| interior angle, internal angle || simple polygon | |||
| || | | || | ||
| || | | || | ||
Line 727: | Line 717: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| intersection || geometric object; parallel lines | |||
| || | | || | ||
| || | | || | ||
Line 736: | Line 726: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| inverse Pythagoras' theorem, inverse Pythagorean theorem || hypotenuse; foot | |||
| || | | || | ||
| || | | || | ||
Line 745: | Line 735: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| kite, deltoids || quadrilateral | |||
| || | | || | ||
| || | | || | ||
Line 754: | Line 744: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| length || distance | |||
| || | | || | ||
| || | | || | ||
Line 763: | Line 753: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| line || locus | |||
| || | | || | ||
| || | | || | ||
Line 772: | Line 762: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| line segment || line | |||
| || | | || | ||
| || | | || | ||
Line 781: | Line 771: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| line–line intersection || intersection | |||
| || | | || | ||
| || | | || | ||
Line 790: | Line 780: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| locus [pl:loci] || set <mathematical logic>; point | |||
| || | | || | ||
| || | | || | ||
Line 799: | Line 789: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| major arc || semicircle | |||
| || | | || | ||
| || | | || | ||
Line 808: | Line 798: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| manifold || Euclidean space; topological space <topology> | |||
| || | | || | ||
| || | | || | ||
Line 817: | Line 807: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| midpoint || line segment | |||
| || | | || | ||
| || | | || | ||
Line 826: | Line 816: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| minor arc || semicircle | |||
| || | | || | ||
| || | | || | ||
Line 835: | Line 825: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| mirror image || shape | |||
| || | | || | ||
| || | | || | ||
Line 844: | Line 834: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| obtuse angle || right triangle | |||
| || | | || | ||
| || | | || | ||
Line 853: | Line 843: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| obtuse triangle || obtuse angle | |||
| || | | || | ||
| || | | || | ||
Line 862: | Line 852: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| open line segment || line segment | |||
| || | | || | ||
| || | | || | ||
Line 871: | Line 861: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| opposite angles, vertical angles || intersection; angle | |||
| || | | || | ||
| || | | || | ||
Line 880: | Line 870: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| parabola || conic section | |||
| || | | || | ||
| || | | || | ||
Line 889: | Line 879: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| parallelism || | |||
| || | | || | ||
| || | | || | ||
Line 898: | Line 888: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| parallel lines || parallelism; line | |||
| || | | || | ||
| || | | || | ||
Line 907: | Line 897: | ||
| || | | || | ||
|- | |- | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | pentagon || polygon | ||
| || | | || | ||
| || | | || | ||
Line 916: | Line 906: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| pentagram || regular star polygon | |||
| || | | || | ||
| || | | || | ||
Line 925: | Line 915: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| perimeter || shape; arc length | |||
| || | | || | ||
| || | | || | ||
Line 934: | Line 924: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| perpendicular bisector || perpendicularity; bisection | |||
| || | | || | ||
| || | | || | ||
Line 943: | Line 933: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| perpendicularity || right angle | |||
| || | | || | ||
| || | | || | ||
Line 952: | Line 942: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| plane || line | |||
| || | | || | ||
| || | | || | ||
Line 961: | Line 951: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| plane curve || curve; plane | |||
| || | | || | ||
| || | | || | ||
Line 970: | Line 960: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| point || | |||
| || | | || | ||
| || | | || | ||
Line 979: | Line 969: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| polygon || shape; line segment | |||
| || | | || | ||
| || | | || | ||
Line 988: | Line 978: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| polygonal chain, polygonal curve, polygonal path, polyline || line segment | |||
| || | | || | ||
| || | | || | ||
Line 997: | Line 987: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| position vector, location vector, radius vector || Euclidean vector | |||
| || | | || | ||
| || | | || | ||
Line 1,006: | Line 996: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| power of a point || circle | |||
| || | | || | ||
| || | | || | ||
Line 1,015: | Line 1,005: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| quadrant || Cartesian coordinate system; domain <mathematical analysis> | |||
| || | | || | ||
| || | | || | ||
Line 1,024: | Line 1,014: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| quadrilateral, quadrangle, tetragon || edge; vertex | |||
| || | | || | ||
| || | | || | ||
Line 1,033: | Line 1,023: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| radius || circle; perimeter | |||
| || | | || | ||
| || | | || | ||
Line 1,042: | Line 1,032: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| ray, half-line || line | |||
| || | | || | ||
| || | | || | ||
Line 1,051: | Line 1,041: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| rectangle || quadrilateral; right angle | |||
| || | | || | ||
| || | | || | ||
Line 1,060: | Line 1,050: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| reflection || Euclidean space; isometry; hyperplane; fixed point <algebra> | |||
| || | | || | ||
| || | | || | ||
Line 1,069: | Line 1,059: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| reflection symmetry, line symmetry, mirror symmetry || symmetry; reflection | |||
| || | | || | ||
| || | | || | ||
Line 1,078: | Line 1,068: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| regular pentagon || pentagon; regular polygon | |||
| || | | || | ||
| || | | || | ||
Line 1,087: | Line 1,077: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| regular polygon || polygon | |||
| || | | || | ||
| || | | || | ||
Line 1,096: | Line 1,086: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| regular star polygon || star polygon; regular polygon | |||
| || | | || | ||
| || | | || | ||
Line 1,105: | Line 1,095: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| right angle || angle | |||
| || | | || | ||
| || | | || | ||
Line 1,114: | Line 1,104: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| right kite || kite; right angle | |||
| || | | || | ||
| || | | || | ||
Line 1,123: | Line 1,113: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| right trapezoid || trapezoid; right angle | |||
| || | | || | ||
| || | | || | ||
Line 1,132: | Line 1,122: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| right triangle, orthogonal triangle || triangle (shape); right angle | |||
| || | | || | ||
| || | | || | ||
Line 1,141: | Line 1,131: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| rhombus, equilateral quadrilateral, diamond, lozenge || quadrilateral | |||
| || | | || | ||
| || | | || | ||
Line 1,150: | Line 1,140: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| ruler, rule || | |||
| || | | || | ||
| || | | || | ||
Line 1,159: | Line 1,149: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| segment bisector || line segment; bisection | |||
| || | | || | ||
| || | | || | ||
Line 1,168: | Line 1,158: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| shape, figure || | |||
| || | | || | ||
| || | | || | ||
Line 1,177: | Line 1,167: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| similar || similarity | |||
| || | | || | ||
| || | | || | ||
Line 1,186: | Line 1,176: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| similarity || shape; reflection symmetry | |||
| || | | || | ||
| || | | || | ||
Line 1,195: | Line 1,185: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| simple polygon || polygon; intersection | |||
| || | | || | ||
| || | | || | ||
Line 1,204: | Line 1,194: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| square || quadrilateral; regular polygon | |||
| || | | || | ||
| || | | || | ||
Line 1,213: | Line 1,203: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| star polygon || concave polygon | |||
| || | | || | ||
| || | | || | ||
Line 1,222: | Line 1,212: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| straight angle || angle | |||
| || | | || | ||
| || | | || | ||
Line 1,231: | Line 1,221: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| sum of angles || angle | |||
| || | | || | ||
| || | | || | ||
Line 1,240: | Line 1,230: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| supplementary angles || adjacent angles; straight angle | |||
| || | | || | ||
| || | | || | ||
Line 1,249: | Line 1,239: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| surface || plane | |||
| || | | || | ||
| || | | || | ||
Line 1,258: | Line 1,248: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| symmetry || | |||
| || | | || | ||
| || | | || | ||
Line 1,270: | Line 1,260: | ||
| || | | || | ||
| || | | || | ||
| trapezoid || convex polygon; parallel lines | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| triangle (shape) || edge; vertex | |||
| || | | || | ||
| || | | || | ||
Line 1,300: | Line 1,278: | ||
| || | | || | ||
| || | | || | ||
| triangle (tool) || triangle (shape) | |||
| || | | || | ||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| turn, cycle, revolution, complete rotation || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| two-dimensional space, 2D space || point | |||
| || | | || | ||
| || | | || | ||
Line 1,306: | Line 1,302: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| vector || | |||
| || | | || | ||
| || | | || | ||
Line 1,315: | Line 1,311: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| vertex || point; line | |||
| || | | || | ||
| || | | || | ||
Line 1,334: | Line 1,330: | ||
|} | |} | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ circle defined by a triangle | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,348: | Line 1,344: | ||
| || | | || | ||
| || | | || | ||
| circle defined by a triangle || circle; triangle | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,363: | Line 1,359: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| circumscribed circle, circumcircle || circle defined by a triangle | |||
| || | | || | ||
| || | | || | ||
Line 1,372: | Line 1,368: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Fuhrmann circle || circle defined by a triangle; diameter; Nagel point; orthocenter | |||
| || | | || | ||
| || | | || | ||
Line 1,381: | Line 1,377: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Malfatti circles || circle defined by a triangle; tangent circle | |||
| || | | || | ||
| || | | || | ||
Line 1,390: | Line 1,386: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| orthocentroidal circle || circle defined by a triangle; equilateral triangle; orthocenter; centroid; diameter | |||
| || | | || | ||
| || | | || | ||
Line 1,399: | Line 1,395: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| polar circle || circle defined by a triangle; orthocenter | |||
| || | | || | ||
| || | | || | ||
Line 1,408: | Line 1,404: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| seven-point circle, Brocard circle || circle defined by a triangle; circumcenter; symmedian point | |||
| || | | || | ||
| || | | || | ||
Line 1,417: | Line 1,413: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
Line 1,424: | Line 1,419: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|} | |||
{| class="wikitable sortable" | |||
|+ geometric transformation | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | | || | ||
| || | |||
| || | |||
| geometric transformation || bijection <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
Line 1,435: | Line 1,443: | ||
| || | | || | ||
|- | |- | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,444: | Line 1,452: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| displacement || | |||
| || | | || | ||
| || | | || | ||
Line 1,453: | Line 1,461: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| translation || geometric transformation; displacement | |||
| || | | || | ||
| || | | || | ||
Line 1,462: | Line 1,470: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
Line 1,470: | Line 1,477: | ||
| || | | || | ||
| || | | || | ||
| || | |||
|} | |||
==== Trigonometry ==== | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,480: | Line 1,500: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| adjacent leg || right triangle | |||
| || | | || | ||
| || | | || | ||
Line 1,489: | Line 1,509: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| central line || triangle | |||
| || | | || | ||
| || | | || | ||
Line 1,498: | Line 1,518: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Heron's formula || area; triangle (shape) | |||
| || | | || | ||
| || | | || | ||
Line 1,507: | Line 1,527: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| hypotenuse || right triangle | |||
| || | | || | ||
| || | | || | ||
Line 1,516: | Line 1,536: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| incircle, inscribed circle || triangle (shape); circle | |||
| || | | || | ||
| || | | || | ||
Line 1,525: | Line 1,545: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Kepler triangle || right triangle; extreme and mean ratio | |||
| || | | || | ||
| || | | || | ||
Line 1,534: | Line 1,554: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| law of cosines || cosine | |||
| || | | || | ||
| || | | || | ||
Line 1,543: | Line 1,563: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| law of cotangents || cotangent | |||
| || | | || | ||
| || | | || | ||
Line 1,552: | Line 1,572: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| law of sines || sine | |||
| || | | || | ||
| || | | || | ||
Line 1,561: | Line 1,581: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| law of tangents || tangent | |||
| || | | || | ||
| || | | || | ||
Line 1,570: | Line 1,590: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| median || triangle (shape); midpoint | |||
| || | | || | ||
| || | | || | ||
Line 1,579: | Line 1,599: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Mollweide's formula || hypotenuse; sine; cosine | |||
| || | | || | ||
| || | | || | ||
Line 1,588: | Line 1,608: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Nagel point || triangle center | |||
| || | | || | ||
| || | | || | ||
Line 1,597: | Line 1,617: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| nine-point circle || triangle (shape); circle; midpoint; foot; altitude | |||
| || | | || | ||
| || | | || | ||
Line 1,606: | Line 1,626: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| opposite leg || right triangle | |||
| || | | || | ||
| || | | || | ||
Line 1,615: | Line 1,635: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| oval || plane; curve | |||
| || | | || | ||
| || | | || | ||
Line 1,624: | Line 1,644: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Pythagoras' theorem, Pythagorean theorem || hypotenuse | |||
| || | | || | ||
| || | | || | ||
Line 1,633: | Line 1,653: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| round angle || angle | |||
| || | | || | ||
| || | | || | ||
Line 1,642: | Line 1,662: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| scale || ratio <number theory> | |||
| || | | || | ||
| || | | || | ||
Line 1,651: | Line 1,671: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| secant || angle; hypotenuse; adjacent leg | |||
| || | | || | ||
| || | | || | ||
Line 1,660: | Line 1,680: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| semicircle || circle | |||
| || | | || | ||
| || | | || | ||
Line 1,669: | Line 1,689: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| unit circle || radius | |||
| || | | || | ||
| || | | || | ||
Line 1,678: | Line 1,698: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
Line 1,686: | Line 1,705: | ||
| || | | || | ||
| || | | || | ||
| || | |||
|} | |||
{| class="wikitable sortable" | |||
|+ inverse hyperbolic function | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| inverse hyperbolic function || | |||
| || | | || | ||
| || | | || | ||
Line 1,696: | Line 1,728: | ||
| || | | || | ||
|- | |- | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,705: | Line 1,737: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| inverse hyperbolic cosecant || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,714: | Line 1,746: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| inverse hyperbolic cosine || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,723: | Line 1,755: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| inverse hyperbolic cotangent || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,732: | Line 1,764: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| inverse hyperbolic secant || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,741: | Line 1,773: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| inverse hyperbolic sine || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,750: | Line 1,782: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| inverse hyperbolic tangent || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,759: | Line 1,791: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,776: | Line 1,799: | ||
| || | | || | ||
| || | | || | ||
|} | |||
{| class="wikitable sortable" | |||
|+ inverse trigonometric function | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| inverse trigonometric function || | |||
| || | | || | ||
| || | | || | ||
Line 1,786: | Line 1,821: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,804: | Line 1,830: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| arccosecant || angle; hypotenuse; opposite leg | |||
| || | | || | ||
| || | | || | ||
Line 1,813: | Line 1,839: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| arccosine || angle; adjacent leg; hypotenuse | |||
| || | | || | ||
| || | | || | ||
Line 1,822: | Line 1,848: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| arccotangent || angle; adjacent leg; opposite leg | |||
| || | | || | ||
| || | | || | ||
Line 1,831: | Line 1,857: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| arcsecant || angle; hypotenuse; adjacent leg | |||
| || | | || | ||
| || | | || | ||
Line 1,840: | Line 1,866: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| arcsine || angle; opposite leg; hypotenuse | |||
| || | | || | ||
| || | | || | ||
Line 1,849: | Line 1,875: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| arctangent || angle; opposite leg; adjacent leg | |||
| || | | || | ||
| || | | || | ||
Line 1,868: | Line 1,894: | ||
|} | |} | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ hyperbolic function | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,882: | Line 1,908: | ||
| || | | || | ||
| || | | || | ||
| | | hyperbolic function || | ||
| || | | || | ||
| || | | || | ||
Line 1,896: | Line 1,922: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | hyperbolic cosecant || exponential function | ||
| || | | || | ||
| || | | || | ||
Line 1,918: | Line 1,932: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| hyperbolic cosine || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,927: | Line 1,941: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| hyperbolic cotangent || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,936: | Line 1,950: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| hyperbolic secant || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,945: | Line 1,959: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| hyperbolic sine || exponential function | |||
| || | | || | ||
| || | | || | ||
Line 1,954: | Line 1,968: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| hyperbolic tangent || exponential function | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |} | ||
| | |||
| || | {| class="wikitable sortable" | ||
| || | |+ trigonometric function | ||
| | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| trigonometric functions, circular functions || sine; cosine; tangent; cotangent; secant; cosecant | |||
| || | | || | ||
| || | | || | ||
Line 1,972: | Line 1,998: | ||
| || | | || | ||
|- | |- | ||
| | | || | ||
| || | | || | ||
| || | | || | ||
Line 1,981: | Line 2,007: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| atan2 || tangent | |||
| || | | || | ||
| || | | || | ||
Line 1,990: | Line 2,016: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| cosecant || angle; hypotenuse; opposite leg | |||
| || | | || | ||
| || | | || | ||
Line 1,999: | Line 2,025: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| cosine || angle; adjacent leg; hypotenuse | |||
| || | | || | ||
| || | | || | ||
Line 2,008: | Line 2,034: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| cotangent || angle; adjacent leg; opposite leg | |||
| || | | || | ||
| || | | || | ||
Line 2,017: | Line 2,043: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| coversine, coversed sine|| sine | |||
| || | | || | ||
| || | | || | ||
Line 2,026: | Line 2,052: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| excircle, escribed circle || triangle (shape); circle | |||
| || | | || | ||
| || | | || | ||
Line 2,035: | Line 2,061: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| exsecant || secant | |||
| || | | || | ||
| || | | || | ||
Line 2,044: | Line 2,070: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| excosecant || cosecant | |||
| || | | || | ||
| || | | || | ||
Line 2,056: | Line 2,082: | ||
| || | | || | ||
| || | | || | ||
| haversine, haversed sine || cosine | |||
| || | | || | ||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| hacoversine, hacoversed sine || sine | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | sine || angle; opposite leg; hypotenuse | ||
| || | | || | ||
| || | | || | ||
Line 2,086: | Line 2,109: | ||
| || | | || | ||
| || | | || | ||
| tangent || angle; opposite leg; adjacent leg | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | versine, versed sine || cosine | ||
| || | | || | ||
| || | | || | ||
Line 2,123: | Line 2,134: | ||
|} | |} | ||
==== | === Discrete and Combinatorial Geometry === | ||
==== Combinatorics ==== | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 2,146: | Line 2,158: | ||
| || | | || | ||
| || | | || | ||
| circular shift || tuple | |||
| || | | || | ||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| combination || set <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | |||
| factorial || integer <number theory>; non-negative number <number theory>; product <number theory> | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | | || | ||
| || | | || | ||
| || | |||
| permutation || set <mathematical logic>; sequence <number theory> | |||
| || | | || | ||
| || | | || | ||
Line 2,183: | Line 2,201: | ||
|} | |} | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ combinatorial principle | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 2,197: | Line 2,215: | ||
| || | | || | ||
| || | | || | ||
| | | combinatorial principle || | ||
| || | | || | ||
| || | | || | ||
Line 2,211: | Line 2,229: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | bijective proof || | ||
| || | | || | ||
| || | | || | ||
Line 2,236: | Line 2,242: | ||
| || | | || | ||
| || | | || | ||
| double counting, counting in two ways || | |||
| || | | || | ||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| inclusion–exclusion principle || union <mathematical logic>; intersection <mathematical logic>; cardinality <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | method of distinguished element || | ||
| || | | || | ||
| || | | || | ||
Line 2,266: | Line 2,269: | ||
| || | | || | ||
| || | | || | ||
| pigeonhole principle || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| rule of division || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| rule of product, multiplication principle || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | rule of sum, addition principle || | ||
| || | | || | ||
| || | | || | ||
Line 2,333: | Line 2,312: | ||
|} | |} | ||
==== | ==== Graph Theory ==== | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 2,356: | Line 2,335: | ||
| || | | || | ||
| || | | || | ||
| automorphism || graph; symmetry <geometry> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | complete graph || undirected graph | ||
| || | | || | ||
| || | | || | ||
Line 2,383: | Line 2,350: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| cycle || trail | |||
| || | | || | ||
| || | | || | ||
Line 2,395: | Line 2,362: | ||
| || | | || | ||
| || | | || | ||
| directed cycle || directed trail | |||
| || | | || | ||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| directed graph, digraph || graph | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | |||
| || | |||
| edge || vertex | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| edge-labeled graph || edge labeling | |||
| || | | || | ||
| || | | || | ||
Line 2,422: | Line 2,395: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| edge labeling || graph labeling | |||
| || | | || | ||
| || | | || | ||
Line 2,431: | Line 2,404: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| endpoint || undirected graph | |||
| || | | || | ||
| || | | || | ||
Line 2,440: | Line 2,413: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| graph || set <mathematical logic>; object <mathematical logic>; edge | |||
| || | | || | ||
| || | | || | ||
Line 2,449: | Line 2,422: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| graph labeling || graph | |||
| || | | || | ||
| || | | || | ||
Line 2,458: | Line 2,431: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| induced subgraph || subgraph | |||
| || | | || | ||
| || | | || | ||
Line 2,467: | Line 2,440: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| loop || edge | |||
| || | | || | ||
| || | | || | ||
Line 2,476: | Line 2,449: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| multigraph || multiple edges | |||
| || | | || | ||
| || | | || | ||
Line 2,485: | Line 2,458: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| multiple edges, parallel edges || endpoint; tail vertex; head vertex | |||
| || | | || | ||
| || | | || | ||
Line 2,494: | Line 2,467: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| path || trail | |||
| || | | || | ||
| || | | || | ||
Line 2,503: | Line 2,476: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| star (graph theory) || complete bipartite graph; tree | |||
| || | | || | ||
| || | | || | ||
Line 2,512: | Line 2,485: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| subgraph || graph; subset <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
Line 2,521: | Line 2,494: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| supergraph || graph; superset <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
Line 2,530: | Line 2,503: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| tour || trail | |||
| || | | || | ||
| || | | || | ||
Line 2,539: | Line 2,512: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| trail || walk | |||
| || | | || | ||
| || | | || | ||
Line 2,548: | Line 2,521: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| transpose graph || directed graph | |||
| || | | || | ||
| || | | || | ||
Line 2,560: | Line 2,533: | ||
| || | | || | ||
| || | | || | ||
| undirected graph || graph | |||
| || | | || | ||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| universal vertex, dominating vertex || undirected graph; dominating set | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | vertex [pl:vertices], node || | ||
| || | | || | ||
| || | | || | ||
Line 2,590: | Line 2,560: | ||
| || | | || | ||
| || | | || | ||
| vertex labeling || graph labeling | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| vertex-labeled graph || vertex labeling | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| walk || sequence <number theory>; edge | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|} | | weight || subgraph | ||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ perfect graph | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |||
| || | |||
| || | |||
| || | |||
| perfect graph || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |- | ||
| || | | || | ||
Line 2,657: | Line 2,642: | ||
|} | |} | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ theorem in graph theory | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |||
| || | |||
| || | |||
| || | |||
| theorem in graph theory || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |- | ||
| || | | || | ||
Line 2,688: | Line 2,681: | ||
|} | |} | ||
=== | ==== Order Theory ==== | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! cmn-Hans-CN: | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! cmn-Latn.Pinyin-CN: gàiniàn | ! eng-Latn-US: concept !! eng-Latn-US: prerequisite | ||
! deu-Latn-DE: Begriff [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
! eng-Latn-US: | |||
! fra-Latn-FR: | |||
! jpn-Jpan-JP: | |||
! jpn-Hrkt-JP: | |||
! rus-Cyrl-RU: | |||
|- | |- | ||
| || | | || | ||
Line 2,741: | Line 2,701: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| trichotomy || real number <number theory> | |||
| || | | || | ||
| || | | || | ||
Line 2,750: | Line 2,710: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
Line 2,756: | Line 2,715: | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | | || | ||
| | |} | ||
==== Game Theory ==== | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | | || | ||
| || | | || | ||
Line 2,778: | Line 2,750: | ||
|} | |} | ||
=== | === Solid Geometry === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |- | ||
| | | || | ||
| | | || | ||
| | | || | ||
|- | | apex || vertex | ||
| | | || | ||
| | | || | ||
| | | || | ||
|} | | || | ||
|- | |||
< | | || | ||
| || | |||
| || | |||
| base (polygon) || face | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| Cavalieri's principle || parallelism; cross section; volume | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| cone || shape; three-dimensional space; apex; base (polygon) | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| cross section || intersection <mathematical logic>; three-dimensional space; plane | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| cuboid || polyhedron; quadrilateral | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| cylinder || circle; base (polygon); prism | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| face || surface | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| facet || three-dimensional space; polyhedron; polytope | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| field of view || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| octant || quadrant | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| orthant || octant | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| parallel planes || parallelism | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| polyhedron || polygon; face | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| polytope || polygon; polyhedron | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| prism || polyhedron; parallelogram; translation | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| pyramid || polyhedron | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| solid angle || field of view; point; angle; three-dimensional space | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| three-dimensional space, 3D space || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
{| class="wikitable sortable" | |||
|+ graphical projection | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| graphical projection || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| axonometric projection || orthographic projection | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| curvilinear perspective || perspective projection | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| isometric projection || axonometric projection | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| oblique projection || parallel projection | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| orthographic projection, orthogonal projection || parallel projection; orthogonality | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| parallel projection, axonometric projection || graphical projection | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| perspective projection || graphical projection | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| reverse perspective || perspective projection | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Convex Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Non-Euclidean Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Elliptic Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Hyperbolic Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Spherical Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Affine Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Projective Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Differential Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
==== Riemannian Geometry ==== | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
==== Symplectic Geometry ==== | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Algebraic Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| vector sum || vector; sum <number theory> | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Analytic Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| abscissa || two-dimensional space; graph | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| Cartesian coordinate system || cuboid; coordinate system | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| coordinate || position | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| cylindrical coordinate system || cylinder; coordinate system | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| displacement || Euclidean vector; motion <mechanics> | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| Euclidean distance || Euclidean space; line segment | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| Euclidean space || three-dimensional space | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| Euclidean vector || magnitude <number theory>; orientation | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| line–plane intersection || intersection; line; plane | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| line–sphere intersection || intersection; line; sphere | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| ordinate || two-dimensional space; graph | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| position, position vector, location vector || Euclidean vector | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| spherical coordinate system || sphere; coordinate system | |||
| || | |||
| || | |||
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|- | |||
| || | |||
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| three-dimensional space || | |||
| || | |||
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|- | |||
| || | |||
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| || | |||
| transformation || bijection <mathematical logic> | |||
| || | |||
| || | |||
| || | |||
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|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Complex Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Synthetic Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Finite Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
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|- | |||
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| || | |||
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| || | |||
|} | |||
<center> | |||
https://upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Thales%27_Theorem.svg/274px-Thales%27_Theorem.svg.png | |||
</center> | |||
{{Sci-Tech-Index-Menu}} | {{Sci-Tech-Index-Menu}} | ||
==Other Lessons== | |||
* [[Language/Multiple-languages/Vocabulary/Mechanics|Mechanics]] | |||
* [[Language/Multiple-languages/Vocabulary/Metrology|Metrology]] | |||
* [[Language/Multiple-languages/Vocabulary/Genders-of-countries|Genders of countries]] | |||
* [[Language/Multiple-languages/Vocabulary/Information-Theory|Information Theory]] | |||
* [[Language/Multiple-languages/Vocabulary/Greetings-Nighttime-greeting|Greetings Nighttime greeting]] | |||
* [[Language/Multiple-languages/Vocabulary/Collocations-with-have|Collocations with have]] | |||
* [[Language/Multiple-languages/Vocabulary/Mathematical-Logic|Mathematical Logic]] | |||
* [[Language/Multiple-languages/Vocabulary/Greetings-What-is-the-news|Greetings What is the news]] | |||
* [[Language/Multiple-languages/Vocabulary/Second-Language-Loss-or-Attrition|Second Language Loss or Attrition]] | |||
<span links></span> |
Latest revision as of 13:15, 27 March 2023
Hello polyglots, 😀
On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.
cmn-Hans-CN: 科目 | cmn-Latn.Pinyin-CN: kēmù | deu-Latn-DE: Fach [n] | eng-Latn-US: subject | fra-Latn-FR: matière [f] | jpn-Jpan-JP: 科目 | jpn-Hrkt-JP: か↑もく | rus-Cyrl-RU: предме́т |
---|---|---|---|---|---|---|---|
欧几里得几何 | Ōujīlǐdé jǐhé | euklidische Geometrie | Euclidean geometry | géométrie [f] euclidienne | ユークリッド幾何学 | ユ↑ークリ-ッドき↑か↓がく | евкли́дова геоме́трия |
平面几何 | píngmiàn jǐhé | ebene Geometrie | plane geometry | géométrie [f] plane | 平面幾何 | へ↑いめ↓んきか | пло́ская геоме́трия |
三角学 | sānjiǎo xué | Trigonometrie [f] | trigonometry | trigonométrie [f] | 三角法 | さ↑んかくほう | тригономе́трия |
离散几何与组合几何 | lísǎn jǐhé yǔ zǔhé jǐhé | discrete geometry and combinatorial geometry | diskrete Geometrie und kombinatorische Geometrie | géométrie discrète et géométrie combinatoire | 離散幾何学と組み合せ幾何学 | り↑さんきか↓がくとく↑みあわ↓せき↑か↓がく | дискре́тная геоме́трия и комбинато́рная геоме́трия |
立体几何 | lìtǐ jǐhé | Stereometrie [f], räumliche Geometrie, Raumgeometrie [f] | solid geometry, stereometry | géométrie [f] dans l'espace | 立体幾何学 | り↑ったいきか↓がく | стереоме́трия |
凸几何 | tū jǐhé | Konvexgeometrie [f], konvexe Geometrie | convex geometry | géométrie [f] convexe | 凸幾何学 | と↑つきか↓がく | вы́пуклая геоме́трия |
非欧几里得几何 | fēi Ōujīlǐdé jǐhé | nichteuklidische Geometrie | non-Euclidean geometry | géométrie [f] non euclidienne | 非ユークリッド幾何学 | ひ↑ユークリッドきか↓がく | неевкли́дова геоме́трия |
椭圆几何 | tuǒyuán jǐhé | elliptische Geometrie | elliptic geometry | géométrie [f] elliptique | 楕円幾何学 | だ↑えんきかが↓く | эллиптическая геометрия |
双曲几何,罗巴切夫斯基几何 | shuāngqū jǐhé, Luóbājièfūsījī jǐhé | hyperbolische Geometrie | hyperbolic geometry, Lobachevskian geometry | géométrie [f] hyperbolique | 双曲幾何学,ボヤイ・ロバチェフスキー幾何学 | そ↑うきょくきか↓がく,ボ↓ヤイ・ロ↑バチェフス↓キーき↑か↓がく | гиперболи́ческая геоме́трия, геоме́трия Лобаче́вского |
球面几何 | qiúmiàn jǐhé | sphärische Geometrie, Kugelgeometrie [f] | spherical geometry | géométrie [f] sphérique | 球面幾何学 | きゅ↑うめんきか↓がく | сфери́ческая геоме́трия |
仿射几何 | fǎngshè jǐhé | affine Geometrie | affine geometry | géométrie [f] affine | アフィン幾何学 | ア↓フィンき↑か↓がく | аффи́нная геоме́трия |
射影几何 | shèyǐng jǐhé | projektive Geometrie | projective geometry | géométrie [f] projective | 射影幾何学 | しゃ↑えいきか↓がく | проекти́вная геоме́трия |
微分几何 | wēifēn jǐhé | Differentialgeometrie [f] | differential geometry | géométrie [f] différentielle | 微分幾何 | び↑ぶ↓んき↑か↓がく | дифференциа́льная геоме́трия |
黎曼几何 | Límàn jǐhé | riemannsche Geometrie | Riemannian geometry | géométrie [f] riemannienne | リーマン幾何学 | リ↑ーマンきか↓がく | риманова геоме́трия |
辛几何 | xīn jǐhé | symplektische Geometrie | symplectic geometry | géométrie [f] symplectique | シンプレクティック幾何学 | シ↑ンプレクティックきか↓がく | симплектическая геоме́трия |
代数几何 | dàishù jǐhé | algebraische Geometrie | algebraic geometry | géométrie [f] algébrique | 代数幾何学 | だ↑いすうきか↓がく | алгебраи́ческая геоме́трия |
解析几何,坐标几何,卡氏几何 | jiěxī jǐhé, zuòbiāo jǐhé, Kǎshì jǐhé | Analytische Geometrie, Vektorgeometrie | analytic geometry, coordinate geometry, Cartesian geometry | géométrie [f] analytique | 解析幾何学,座標幾何学,デカルト幾何学 | か↑いせききか↓がく,ざ↑ひょうきか↓がく,デ↑カルトきか↓がく | аналити́ческая геоме́трия |
复几何 | fù jǐhé | komplexe Geometrie | complex geometry | géométrie [f] complexe | 複素幾何学 | ふ↑くそきか↓がく | сло́жная геоме́трия |
综合几何 | zōnghé jǐhé | synthetische Geometrie | synthetic geometry, axiomatic geometry, pure geometry | géométrie [f] synthétique, géométrie [f] pure | 総合幾何学 | そ↑うごうきか↓がく | синтети́ческий ме́тод |
有限几何 | yǒuxiàn jǐhé | endliche Geometrie | finite geometry | géométrie [f] finie | 有限幾何学 | ゆ↑うげんきか↓がく | коне́чная геоме́трия |
Euclidean Geometry[edit | edit source]
Plane Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
acute angle | angle | ||||||||||||||
acute trapezoid | trapezoid; acute angle | ||||||||||||||
acute triangle | acute angle; triangle | ||||||||||||||
adjacent angles | angle | ||||||||||||||
altitude | perpendicularity; base (polygon) | ||||||||||||||
angle | line | ||||||||||||||
angle bisector | angle; bisection | ||||||||||||||
annulus [pl:annuli] | concentric circles | ||||||||||||||
apex | vertex | ||||||||||||||
圆周率 | yuánzhōu lǜ | Kreiszahl [f], Pi [n] | Archimedes' constant, pi | circumstance; diameter | |||||||||||
aspect ratio | ratio <number theory> | ||||||||||||||
area | two-dimensional space; plane | ||||||||||||||
arc length | curve | ||||||||||||||
auxiliary angle | straight angle | ||||||||||||||
auxiliary line | mathematical proof <mathematical logic>; line | ||||||||||||||
base (polygon) | edge | ||||||||||||||
bisection | |||||||||||||||
Cavalieri's principle | plane; parallel lines; intersection; line segment; area | ||||||||||||||
center | |||||||||||||||
centroid | shape; midpoint | ||||||||||||||
chord | circle | ||||||||||||||
circle | conic section | ||||||||||||||
circular sector | disk; radius | ||||||||||||||
circumcenter | circumcircle; center | ||||||||||||||
circumference | perimeter; circle; ellipse | ||||||||||||||
circumradius | circumcircle; radius | ||||||||||||||
closed line segment | line segment | ||||||||||||||
complementary angles | adjacent angles; right angle | ||||||||||||||
congruent | shape | ||||||||||||||
conic section | cone; plane; locus; focus; directrix | ||||||||||||||
concave polygon | simple polygon | ||||||||||||||
concentric circles | circle | ||||||||||||||
concyclic, cocyclic | point; circle | ||||||||||||||
coordinate system | |||||||||||||||
curve | |||||||||||||||
diameter | circle; end point; center | ||||||||||||||
disk | plane; circle | ||||||||||||||
eccentricity | conic section | ||||||||||||||
edge | line segment; vertex | ||||||||||||||
edge length | edge; length | ||||||||||||||
ellipse | conic section | ||||||||||||||
end point | line segment | ||||||||||||||
equilateral triangle | triangle (shape); regular polygon | ||||||||||||||
explementary angles | adjacent angles; turn | ||||||||||||||
extended side | edge | ||||||||||||||
exterior angle, external angle | extended side | ||||||||||||||
exterior angle theorem | exterior angle; round angle | ||||||||||||||
extreme and mean ratio, golden ratio, golden mean, golden section | |||||||||||||||
focus | point; curve | ||||||||||||||
half-open line segment | line segment | ||||||||||||||
heptagram, septagram, septegram, septogram | regular star polygon | ||||||||||||||
hexagon | polygon | ||||||||||||||
hyperbola | conic section | ||||||||||||||
interior angle, internal angle | simple polygon | ||||||||||||||
intersection | geometric object; parallel lines | ||||||||||||||
inverse Pythagoras' theorem, inverse Pythagorean theorem | hypotenuse; foot | ||||||||||||||
kite, deltoids | quadrilateral | ||||||||||||||
length | distance | ||||||||||||||
line | locus | ||||||||||||||
line segment | line | ||||||||||||||
line–line intersection | intersection | ||||||||||||||
locus [pl:loci] | set <mathematical logic>; point | ||||||||||||||
major arc | semicircle | ||||||||||||||
manifold | Euclidean space; topological space <topology> | ||||||||||||||
midpoint | line segment | ||||||||||||||
minor arc | semicircle | ||||||||||||||
mirror image | shape | ||||||||||||||
obtuse angle | right triangle | ||||||||||||||
obtuse triangle | obtuse angle | ||||||||||||||
open line segment | line segment | ||||||||||||||
opposite angles, vertical angles | intersection; angle | ||||||||||||||
parabola | conic section | ||||||||||||||
parallelism | |||||||||||||||
parallel lines | parallelism; line | ||||||||||||||
pentagon | polygon | ||||||||||||||
pentagram | regular star polygon | ||||||||||||||
perimeter | shape; arc length | ||||||||||||||
perpendicular bisector | perpendicularity; bisection | ||||||||||||||
perpendicularity | right angle | ||||||||||||||
plane | line | ||||||||||||||
plane curve | curve; plane | ||||||||||||||
point | |||||||||||||||
polygon | shape; line segment | ||||||||||||||
polygonal chain, polygonal curve, polygonal path, polyline | line segment | ||||||||||||||
position vector, location vector, radius vector | Euclidean vector | ||||||||||||||
power of a point | circle | ||||||||||||||
quadrant | Cartesian coordinate system; domain <mathematical analysis> | ||||||||||||||
quadrilateral, quadrangle, tetragon | edge; vertex | ||||||||||||||
radius | circle; perimeter | ||||||||||||||
ray, half-line | line | ||||||||||||||
rectangle | quadrilateral; right angle | ||||||||||||||
reflection | Euclidean space; isometry; hyperplane; fixed point <algebra> | ||||||||||||||
reflection symmetry, line symmetry, mirror symmetry | symmetry; reflection | ||||||||||||||
regular pentagon | pentagon; regular polygon | ||||||||||||||
regular polygon | polygon | ||||||||||||||
regular star polygon | star polygon; regular polygon | ||||||||||||||
right angle | angle | ||||||||||||||
right kite | kite; right angle | ||||||||||||||
right trapezoid | trapezoid; right angle | ||||||||||||||
right triangle, orthogonal triangle | triangle (shape); right angle | ||||||||||||||
rhombus, equilateral quadrilateral, diamond, lozenge | quadrilateral | ||||||||||||||
ruler, rule | |||||||||||||||
segment bisector | line segment; bisection | ||||||||||||||
shape, figure | |||||||||||||||
similar | similarity | ||||||||||||||
similarity | shape; reflection symmetry | ||||||||||||||
simple polygon | polygon; intersection | ||||||||||||||
square | quadrilateral; regular polygon | ||||||||||||||
star polygon | concave polygon | ||||||||||||||
straight angle | angle | ||||||||||||||
sum of angles | angle | ||||||||||||||
supplementary angles | adjacent angles; straight angle | ||||||||||||||
surface | plane | ||||||||||||||
symmetry | |||||||||||||||
trapezoid | convex polygon; parallel lines | ||||||||||||||
triangle (shape) | edge; vertex | ||||||||||||||
triangle (tool) | triangle (shape) | ||||||||||||||
turn, cycle, revolution, complete rotation | |||||||||||||||
two-dimensional space, 2D space | point | ||||||||||||||
vector | |||||||||||||||
vertex | point; line | ||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
circle defined by a triangle | circle; triangle | ||||||||||||||
circumscribed circle, circumcircle | circle defined by a triangle | ||||||||||||||
Fuhrmann circle | circle defined by a triangle; diameter; Nagel point; orthocenter | ||||||||||||||
Malfatti circles | circle defined by a triangle; tangent circle | ||||||||||||||
orthocentroidal circle | circle defined by a triangle; equilateral triangle; orthocenter; centroid; diameter | ||||||||||||||
polar circle | circle defined by a triangle; orthocenter | ||||||||||||||
seven-point circle, Brocard circle | circle defined by a triangle; circumcenter; symmedian point | ||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
geometric transformation | bijection <mathematical logic> | ||||||||||||||
displacement | |||||||||||||||
translation | geometric transformation; displacement | ||||||||||||||
Trigonometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
adjacent leg | right triangle | ||||||||||||||
central line | triangle | ||||||||||||||
Heron's formula | area; triangle (shape) | ||||||||||||||
hypotenuse | right triangle | ||||||||||||||
incircle, inscribed circle | triangle (shape); circle | ||||||||||||||
Kepler triangle | right triangle; extreme and mean ratio | ||||||||||||||
law of cosines | cosine | ||||||||||||||
law of cotangents | cotangent | ||||||||||||||
law of sines | sine | ||||||||||||||
law of tangents | tangent | ||||||||||||||
median | triangle (shape); midpoint | ||||||||||||||
Mollweide's formula | hypotenuse; sine; cosine | ||||||||||||||
Nagel point | triangle center | ||||||||||||||
nine-point circle | triangle (shape); circle; midpoint; foot; altitude | ||||||||||||||
opposite leg | right triangle | ||||||||||||||
oval | plane; curve | ||||||||||||||
Pythagoras' theorem, Pythagorean theorem | hypotenuse | ||||||||||||||
round angle | angle | ||||||||||||||
scale | ratio <number theory> | ||||||||||||||
secant | angle; hypotenuse; adjacent leg | ||||||||||||||
semicircle | circle | ||||||||||||||
unit circle | radius | ||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
inverse hyperbolic function | |||||||||||||||
inverse hyperbolic cosecant | exponential function | ||||||||||||||
inverse hyperbolic cosine | exponential function | ||||||||||||||
inverse hyperbolic cotangent | exponential function | ||||||||||||||
inverse hyperbolic secant | exponential function | ||||||||||||||
inverse hyperbolic sine | exponential function | ||||||||||||||
inverse hyperbolic tangent | exponential function | ||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
inverse trigonometric function | |||||||||||||||
arccosecant | angle; hypotenuse; opposite leg | ||||||||||||||
arccosine | angle; adjacent leg; hypotenuse | ||||||||||||||
arccotangent | angle; adjacent leg; opposite leg | ||||||||||||||
arcsecant | angle; hypotenuse; adjacent leg | ||||||||||||||
arcsine | angle; opposite leg; hypotenuse | ||||||||||||||
arctangent | angle; opposite leg; adjacent leg | ||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hyperbolic function | |||||||||||||||
hyperbolic cosecant | exponential function | ||||||||||||||
hyperbolic cosine | exponential function | ||||||||||||||
hyperbolic cotangent | exponential function | ||||||||||||||
hyperbolic secant | exponential function | ||||||||||||||
hyperbolic sine | exponential function | ||||||||||||||
hyperbolic tangent | exponential function |
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
trigonometric functions, circular functions | sine; cosine; tangent; cotangent; secant; cosecant | ||||||||||||||
atan2 | tangent | ||||||||||||||
cosecant | angle; hypotenuse; opposite leg | ||||||||||||||
cosine | angle; adjacent leg; hypotenuse | ||||||||||||||
cotangent | angle; adjacent leg; opposite leg | ||||||||||||||
coversine, coversed sine | sine | ||||||||||||||
excircle, escribed circle | triangle (shape); circle | ||||||||||||||
exsecant | secant | ||||||||||||||
excosecant | cosecant | ||||||||||||||
haversine, haversed sine | cosine | ||||||||||||||
hacoversine, hacoversed sine | sine | ||||||||||||||
sine | angle; opposite leg; hypotenuse | ||||||||||||||
tangent | angle; opposite leg; adjacent leg | ||||||||||||||
versine, versed sine | cosine | ||||||||||||||
Discrete and Combinatorial Geometry[edit | edit source]
Combinatorics[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
circular shift | tuple | ||||||||||||||
combination | set <mathematical logic> | ||||||||||||||
factorial | integer <number theory>; non-negative number <number theory>; product <number theory> | ||||||||||||||
permutation | set <mathematical logic>; sequence <number theory> | ||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
combinatorial principle | |||||||||||||||
bijective proof | |||||||||||||||
double counting, counting in two ways | |||||||||||||||
inclusion–exclusion principle | union <mathematical logic>; intersection <mathematical logic>; cardinality <mathematical logic> | ||||||||||||||
method of distinguished element | |||||||||||||||
pigeonhole principle | |||||||||||||||
rule of division | |||||||||||||||
rule of product, multiplication principle | |||||||||||||||
rule of sum, addition principle | |||||||||||||||
Graph Theory[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
automorphism | graph; symmetry <geometry> | ||||||||||||||
complete graph | undirected graph | ||||||||||||||
cycle | trail | ||||||||||||||
directed cycle | directed trail | ||||||||||||||
directed graph, digraph | graph | ||||||||||||||
edge | vertex | ||||||||||||||
edge-labeled graph | edge labeling | ||||||||||||||
edge labeling | graph labeling | ||||||||||||||
endpoint | undirected graph | ||||||||||||||
graph | set <mathematical logic>; object <mathematical logic>; edge | ||||||||||||||
graph labeling | graph | ||||||||||||||
induced subgraph | subgraph | ||||||||||||||
loop | edge | ||||||||||||||
multigraph | multiple edges | ||||||||||||||
multiple edges, parallel edges | endpoint; tail vertex; head vertex | ||||||||||||||
path | trail | ||||||||||||||
star (graph theory) | complete bipartite graph; tree | ||||||||||||||
subgraph | graph; subset <mathematical logic> | ||||||||||||||
supergraph | graph; superset <mathematical logic> | ||||||||||||||
tour | trail | ||||||||||||||
trail | walk | ||||||||||||||
transpose graph | directed graph | ||||||||||||||
undirected graph | graph | ||||||||||||||
universal vertex, dominating vertex | undirected graph; dominating set | ||||||||||||||
vertex [pl:vertices], node | |||||||||||||||
vertex labeling | graph labeling | ||||||||||||||
vertex-labeled graph | vertex labeling | ||||||||||||||
walk | sequence <number theory>; edge | ||||||||||||||
weight | subgraph | ||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
perfect graph | |||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
theorem in graph theory | |||||||||||||||
Order Theory[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
trichotomy | real number <number theory> | ||||||||||||||
Game Theory[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Solid Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
apex | vertex | ||||||||||||||
base (polygon) | face | ||||||||||||||
Cavalieri's principle | parallelism; cross section; volume | ||||||||||||||
cone | shape; three-dimensional space; apex; base (polygon) | ||||||||||||||
cross section | intersection <mathematical logic>; three-dimensional space; plane | ||||||||||||||
cuboid | polyhedron; quadrilateral | ||||||||||||||
cylinder | circle; base (polygon); prism | ||||||||||||||
face | surface | ||||||||||||||
facet | three-dimensional space; polyhedron; polytope | ||||||||||||||
field of view | |||||||||||||||
octant | quadrant | ||||||||||||||
orthant | octant | ||||||||||||||
parallel planes | parallelism | ||||||||||||||
polyhedron | polygon; face | ||||||||||||||
polytope | polygon; polyhedron | ||||||||||||||
prism | polyhedron; parallelogram; translation | ||||||||||||||
pyramid | polyhedron | ||||||||||||||
solid angle | field of view; point; angle; three-dimensional space | ||||||||||||||
three-dimensional space, 3D space | |||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
graphical projection | |||||||||||||||
axonometric projection | orthographic projection | ||||||||||||||
curvilinear perspective | perspective projection | ||||||||||||||
isometric projection | axonometric projection | ||||||||||||||
oblique projection | parallel projection | ||||||||||||||
orthographic projection, orthogonal projection | parallel projection; orthogonality | ||||||||||||||
parallel projection, axonometric projection | graphical projection | ||||||||||||||
perspective projection | graphical projection | ||||||||||||||
reverse perspective | perspective projection | ||||||||||||||
Convex Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Non-Euclidean Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Elliptic Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Hyperbolic Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Spherical Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Affine Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Projective Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Differential Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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Riemannian Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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Symplectic Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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Algebraic Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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vector sum | vector; sum <number theory> | ||||||||||||||
Analytic Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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abscissa | two-dimensional space; graph | ||||||||||||||
Cartesian coordinate system | cuboid; coordinate system | ||||||||||||||
coordinate | position | ||||||||||||||
cylindrical coordinate system | cylinder; coordinate system | ||||||||||||||
displacement | Euclidean vector; motion <mechanics> | ||||||||||||||
Euclidean distance | Euclidean space; line segment | ||||||||||||||
Euclidean space | three-dimensional space | ||||||||||||||
Euclidean vector | magnitude <number theory>; orientation | ||||||||||||||
line–plane intersection | intersection; line; plane | ||||||||||||||
line–sphere intersection | intersection; line; sphere | ||||||||||||||
ordinate | two-dimensional space; graph | ||||||||||||||
position, position vector, location vector | Euclidean vector | ||||||||||||||
spherical coordinate system | sphere; coordinate system | ||||||||||||||
three-dimensional space | |||||||||||||||
transformation | bijection <mathematical logic> | ||||||||||||||
Complex Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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Synthetic Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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Finite Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
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Other Lessons[edit | edit source]
- Mechanics
- Metrology
- Genders of countries
- Information Theory
- Greetings Nighttime greeting
- Collocations with have
- Mathematical Logic
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- Second Language Loss or Attrition