Difference between revisions of "Language/Multiple-languages/Vocabulary/Geometry"

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{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 科目
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: kēmù
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Fach [n]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: subject
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: matière [f]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 科目
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: か↑もく
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: предме́т
|-
|-
| geometry || arithmetic
|  
| 几何学 ||
|  
| jǐhé xué ||
|  
| Geometrie [f] ||
|  
| géométrie [f] ||
|  
| 幾何学 ||
|  
| き↑か↓がく ||  
|  
| геоме́трия ||  
|  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|  ||
|  ||  
|-
|-
| Euclidean geometry ||
| 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
|-
|-
| plane geometry ||
| 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
|-
|-
| trigonometry ||
| 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
|-
|-
| discrete geometry and combinatorial geometry ||
| 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
| géométrie [f] discrète et géométrie [f] combinatoire ||
| 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
|-
|-
| solid geometry, stereometry ||
| 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
|-
|-
| convex geometry ||
| 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
|-
|-
| non-Euclidean geometry ||
| 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
|-
|-
| elliptic geometry ||
| 椭圆几何
| 椭圆几何 ||
| tuǒyuán jǐhé
| tuǒyuán jǐhé ||
| elliptische Geometrie
| Geometrie [f] ||  
| 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
|-
|-
| hyperbolic geometry, Lobachevskian geometry ||
| 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
|-
|-
| spherical geometry ||
| 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
|-
|-
| affine geometry ||
| 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
|-
|-
| projective geometry ||
| 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
|-
|-
| differential geometry ||
| 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
|-
|-
| Riemannian geometry ||
| 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
|-
|-
| symplectic geometry ||
| 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
|-
|-
| algebraic geometry ||
| 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
|-
|-
| analytic geometry, coordinate geometry, Cartesian geometry ||
| 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, kǎshì 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
|-
|-
| complex geometry ||
| 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
|-
|-
| synthetic geometry, axiomatic geometry, pure geometry ||
| 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
|-
|-
| finite geometry ||
| 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
|-
|-
|  ||  
|  
|  ||  
|  
|  ||  
|  
|  ||  
|  
|  ||  
|  
|  ||  
|  
|  ||  
|  
|  ||  
|  
|}
|}


== Main ==
== Euclidean Geometry ==
=== Euclidean Geometry ===
=== Plane Geometry ===
==== Plane Geometry ====
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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:
|  ||  
|  ||  
|-
|-
| acute angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 250: Line 240:
|  ||  
|  ||  
|-
|-
| acute trapezoid || trapezoid; acute angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute trapezoid || trapezoid; acute angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 259: Line 249:
|  ||  
|  ||  
|-
|-
| acute triangle || acute angle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute triangle || acute angle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 268: Line 258:
|  ||  
|  ||  
|-
|-
| angle || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| adjacent angles || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 277: Line 267:
|  ||  
|  ||  
|-
|-
| angle bisector || angle; bisection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| altitude || perpendicularity; base (polygon)
|  ||  
|  ||  
|  ||  
|  ||  
Line 286: Line 276:
|  ||  
|  ||  
|-
|-
| annulus [pl:annuli] || concentric circles
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| angle || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 295: Line 285:
|  ||  
|  ||  
|-
|-
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| angle bisector || angle; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 304: Line 294:
|  ||  
|  ||  
|-
|-
| aspect ratio || ratio <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| annulus [pl:annuli] || concentric circles
|  ||  
|  ||  
|  ||  
|  ||  
Line 313: Line 303:
|  ||  
|  ||  
|-
|-
| area || two-dimensional space; plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 322: Line 312:
|  ||  
|  ||  
|-
|-
| arc length || curve
| 圆周率 ||  
| ||  
| yuánzhōu lǜ ||  
| ||  
| Kreiszahl [f], Pi [n] ||  
| ||  
| Archimedes' constant, pi || circumstance; diameter
|  ||  
|  ||  
|  ||  
|  ||  
Line 331: Line 321:
|  ||  
|  ||  
|-
|-
| auxiliary angle || straight angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| aspect ratio || ratio <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 340: Line 330:
|  ||  
|  ||  
|-
|-
| base (polygon) || edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| area || two-dimensional space; plane
|  ||  
|  ||  
|  ||  
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Line 349: Line 339:
|  ||  
|  ||  
|-
|-
| bisection ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arc length || curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 358: Line 348:
|  ||  
|  ||  
|-
|-
| Cavalieri's principle || plane; parallel lines; intersection; line segment; area
|  ||  
|  ||  
|  ||  
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| auxiliary angle || straight angle
|  ||  
|  ||  
|  ||  
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Line 367: Line 357:
|  ||  
|  ||  
|-
|-
| center ||
|  ||  
|  ||  
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|  ||  
|  ||  
| auxiliary line || mathematical proof <mathematical logic>; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 376: Line 366:
|  ||  
|  ||  
|-
|-
| centroid || shape; midpoint
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
| base (polygon) || edge
|  ||  
|  ||  
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Line 385: Line 375:
|  ||  
|  ||  
|-
|-
| chord || circle
|  ||  
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|  ||  
| bisection ||
|  ||  
|  ||  
|  ||  
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Line 394: Line 384:
|  ||  
|  ||  
|-
|-
| circle || conic section
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Cavalieri's principle || plane; parallel lines; intersection; line segment; area
|  ||  
|  ||  
|  ||  
|  ||  
Line 403: Line 393:
|  ||  
|  ||  
|-
|-
| circular sector || disk; radius
|  ||  
|  ||  
|  ||  
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| center ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 412: Line 402:
|  ||  
|  ||  
|-
|-
| circumcenter || circumcircle; center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| centroid || shape; midpoint
|  ||  
|  ||  
|  ||  
|  ||  
Line 421: Line 411:
|  ||  
|  ||  
|-
|-
| circumcircle, circumscribed circle || vertex; circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| chord || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 430: Line 420:
|  ||  
|  ||  
|-
|-
| circumference || perimeter; circle; ellipse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circle || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 439: Line 429:
|  ||  
|  ||  
|-
|-
| circumradius || circumcircle; radius
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circular sector || disk; radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 448: Line 438:
|  ||  
|  ||  
|-
|-
| closed line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumcenter || circumcircle; center
|  ||  
|  ||  
|  ||  
|  ||  
Line 457: Line 447:
|  ||  
|  ||  
|-
|-
| complementary angle || right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumference || perimeter; circle; ellipse
|  ||  
|  ||  
|  ||  
|  ||  
Line 466: Line 456:
|  ||  
|  ||  
|-
|-
| congruent || shape
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumradius || circumcircle; radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 475: Line 465:
|  ||  
|  ||  
|-
|-
| conic section || cone; plane; locus; focus; directrix
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| closed line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 484: Line 474:
|  ||  
|  ||  
|-
|-
| concave polygon || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| complementary angles || adjacent angles; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 493: Line 483:
|  ||  
|  ||  
|-
|-
| concentric circles || circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| congruent || shape
|  ||  
|  ||  
|  ||  
|  ||  
Line 502: Line 492:
|  ||  
|  ||  
|-
|-
| concyclic, cocyclic || point; circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| conic section || cone; plane; locus; focus; directrix
|  ||  
|  ||  
|  ||  
|  ||  
Line 511: Line 501:
|  ||  
|  ||  
|-
|-
| coordinate system ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concave polygon || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 520: Line 510:
|  ||  
|  ||  
|-
|-
| curve ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concentric circles || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 529: Line 519:
|  ||  
|  ||  
|-
|-
| diameter || circle; end point; center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concyclic, cocyclic || point; circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 538: Line 528:
|  ||  
|  ||  
|-
|-
| disk || plane; circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| coordinate system ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 547: Line 537:
|  ||  
|  ||  
|-
|-
| eccentricity || conic section
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| curve ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 556: Line 546:
|  ||  
|  ||  
|-
|-
| edge || line segment; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| diameter || circle; end point; center
|  ||  
|  ||  
|  ||  
|  ||  
Line 565: Line 555:
|  ||  
|  ||  
|-
|-
| edge length || edge; length
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| disk || plane; circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 574: Line 564:
|  ||  
|  ||  
|-
|-
| ellipse || conic section
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| eccentricity || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 583: Line 573:
|  ||  
|  ||  
|-
|-
| end point || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge || line segment; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 592: Line 582:
|  ||  
|  ||  
|-
|-
| equilateral triangle || triangle (shape); regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge length || edge; length
|  ||  
|  ||  
|  ||  
|  ||  
Line 601: Line 591:
|  ||  
|  ||  
|-
|-
| extended side || edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ellipse || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 610: Line 600:
|  ||  
|  ||  
|-
|-
| exterior angle, external angle || extended side
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| end point || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 619: Line 609:
|  ||  
|  ||  
|-
|-
| exterior angle theorem || exterior angle; round angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| equilateral triangle || triangle (shape); regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 628: Line 618:
|  ||  
|  ||  
|-
|-
| extreme and mean ratio, golden ratio, golden mean, golden section ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| explementary angles || adjacent angles; turn
|  ||  
|  ||  
|  ||  
|  ||  
Line 637: Line 627:
|  ||  
|  ||  
|-
|-
| focus || point; curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extended side || edge
|  ||  
|  ||  
|  ||  
|  ||  
Line 646: Line 636:
|  ||  
|  ||  
|-
|-
| half-open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exterior angle, external angle || extended side
|  ||  
|  ||  
|  ||  
|  ||  
Line 655: Line 645:
|  ||  
|  ||  
|-
|-
| heptagram, septagram, septegram, septogram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exterior angle theorem || exterior angle; round angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 664: Line 654:
|  ||  
|  ||  
|-
|-
| hexagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extreme and mean ratio, golden ratio, golden mean, golden section ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 673: Line 663:
|  ||  
|  ||  
|-
|-
| hyperbola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| focus || point; curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 682: Line 672:
|  ||  
|  ||  
|-
|-
| interior angle, internal angle || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| half-open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 691: Line 681:
|  ||  
|  ||  
|-
|-
| intersection || geometric object; parallel lines
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| heptagram, septagram, septegram, septogram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 700: Line 690:
|  ||  
|  ||  
|-
|-
| inverse Pythagorean theorem, inverse Pythagoras' theorem || hypotenuse; foot
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hexagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 709: Line 699:
|  ||  
|  ||  
|-
|-
| kite, deltoids || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 718: Line 708:
|  ||  
|  ||  
|-
|-
| length || distance
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| interior angle, internal angle || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 727: Line 717:
|  ||  
|  ||  
|-
|-
| line || locus
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| intersection || geometric object; parallel lines
|  ||  
|  ||  
|  ||  
|  ||  
Line 736: Line 726:
|  ||  
|  ||  
|-
|-
| line segment || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse Pythagoras' theorem, inverse Pythagorean theorem || hypotenuse; foot
|  ||  
|  ||  
|  ||  
|  ||  
Line 745: Line 735:
|  ||  
|  ||  
|-
|-
| line–line intersection || intersection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| kite, deltoids || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
Line 754: Line 744:
|  ||  
|  ||  
|-
|-
| locus [pl:loci] || set <mathematical logic>; point
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| length || distance
|  ||  
|  ||  
|  ||  
|  ||  
Line 763: Line 753:
|  ||  
|  ||  
|-
|-
| major arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line || locus
|  ||  
|  ||  
|  ||  
|  ||  
Line 772: Line 762:
|  ||  
|  ||  
|-
|-
| manifold || Euclidean space; topological space <topology>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line segment || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 781: Line 771:
|  ||  
|  ||  
|-
|-
| midpoint || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line–line intersection || intersection
|  ||  
|  ||  
|  ||  
|  ||  
Line 790: Line 780:
|  ||  
|  ||  
|-
|-
| minor arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| locus [pl:loci] || set <mathematical logic>; point
|  ||  
|  ||  
|  ||  
|  ||  
Line 799: Line 789:
|  ||  
|  ||  
|-
|-
| mirror image || shape
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| major arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
Line 808: Line 798:
|  ||  
|  ||  
|-
|-
| obtuse angle || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| manifold || Euclidean space; topological space <topology>
|  ||  
|  ||  
|  ||  
|  ||  
Line 817: Line 807:
|  ||  
|  ||  
|-
|-
| obtuse triangle || obtuse angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| midpoint || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 826: Line 816:
|  ||  
|  ||  
|-
|-
| open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| minor arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
Line 835: Line 825:
|  ||  
|  ||  
|-
|-
| parabola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| mirror image || shape
|  ||  
|  ||  
|  ||  
|  ||  
Line 844: Line 834:
|  ||  
|  ||  
|-
|-
| parallelism ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| obtuse angle || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 853: Line 843:
|  ||  
|  ||  
|-
|-
| parallel lines || parallelism; line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| obtuse triangle || obtuse angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 862: Line 852:
|  ||  
|  ||  
|-
|-
| pentagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 871: Line 861:
|  ||  
|  ||  
|-
|-
| pentagram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| opposite angles, vertical angles || intersection; angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 880: Line 870:
|  ||  
|  ||  
|-
|-
| perimeter || shape; arc length
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parabola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 889: Line 879:
|  ||  
|  ||  
|-
|-
| perpendicular || perpendicularity
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parallelism ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 898: Line 888:
|  ||  
|  ||  
|-
|-
| perpendicularity || right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parallel lines || parallelism; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 907: Line 897:
|  ||  
|  ||  
|-
|-
| Archimedes' constant, pi || circumstance; diameter
| ||  
| 圆周率 ||  
| ||  
| yuánzhōu lǜ ||  
| ||  
| Kreiszahl [f], Pi [n] ||  
| pentagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 916: Line 906:
|  ||  
|  ||  
|-
|-
| plane || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| pentagram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 925: Line 915:
|  ||  
|  ||  
|-
|-
| plane curve || curve; plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perimeter || shape; arc length
|  ||  
|  ||  
|  ||  
|  ||  
Line 934: Line 924:
|  ||  
|  ||  
|-
|-
| point ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perpendicular bisector || perpendicularity; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 943: Line 933:
|  ||  
|  ||  
|-
|-
| polygon || shape; line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perpendicularity || right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 952: Line 942:
|  ||  
|  ||  
|-
|-
| polygonal chain, polygonal curve, polygonal path, polyline || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| plane || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 961: Line 951:
|  ||  
|  ||  
|-
|-
| quadrilateral, quadrangle, tetragon || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| plane curve || curve; plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 970: Line 960:
|  ||  
|  ||  
|-
|-
| radius || circle; perimeter
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| point ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 979: Line 969:
|  ||  
|  ||  
|-
|-
| ray, half-line || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polygon || shape; line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 988: Line 978:
|  ||  
|  ||  
|-
|-
| rectangle || quadrilateral; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polygonal chain, polygonal curve, polygonal path, polyline || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 997: Line 987:
|  ||  
|  ||  
|-
|-
| reflection || Euclidean space; isometry; hyperplane; fixed point <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| position vector, location vector, radius vector || Euclidean vector
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,006: Line 996:
|  ||  
|  ||  
|-
|-
| reflection symmetry, line symmetry, mirror symmetry || symmetry; reflection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| power of a point || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,015: Line 1,005:
|  ||  
|  ||  
|-
|-
| regular pentagon || pentagon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| quadrant || Cartesian coordinate system; domain <mathematical analysis>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,024: Line 1,014:
|  ||  
|  ||  
|-
|-
| regular polygon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| quadrilateral, quadrangle, tetragon || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,033: Line 1,023:
|  ||  
|  ||  
|-
|-
| regular star polygon || star polygon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| radius || circle; perimeter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,042: Line 1,032:
|  ||  
|  ||  
|-
|-
| right angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ray, half-line || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,051: Line 1,041:
|  ||  
|  ||  
|-
|-
| right kite || kite; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rectangle || quadrilateral; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,060: Line 1,050:
|  ||  
|  ||  
|-
|-
| right trapezoid || trapezoid; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| reflection || Euclidean space; isometry; hyperplane; fixed point <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,069: Line 1,059:
|  ||  
|  ||  
|-
|-
| right triangle, orthogonal triangle || triangle (shape); right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| reflection symmetry, line symmetry, mirror symmetry || symmetry; reflection
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,078: Line 1,068:
|  ||  
|  ||  
|-
|-
| rhombus, equilateral quadrilateral, diamond, lozenge || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| regular pentagon || pentagon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,087: Line 1,077:
|  ||  
|  ||  
|-
|-
| ruler, rule ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| regular polygon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,096: Line 1,086:
|  ||  
|  ||  
|-
|-
| segment bisector || line segment; bisection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| regular star polygon || star polygon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,105: Line 1,095:
|  ||  
|  ||  
|-
|-
| shape, figure ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,114: Line 1,104:
|  ||  
|  ||  
|-
|-
| similar || similarity
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right kite || kite; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,123: Line 1,113:
|  ||  
|  ||  
|-
|-
| similarity || shape; reflection symmetry
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right trapezoid || trapezoid; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,132: Line 1,122:
|  ||  
|  ||  
|-
|-
| simple polygon || polygon; intersection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right triangle, orthogonal triangle || triangle (shape); right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,141: Line 1,131:
|  ||  
|  ||  
|-
|-
| square || quadrilateral; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rhombus, equilateral quadrilateral, diamond, lozenge || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,150: Line 1,140:
|  ||  
|  ||  
|-
|-
| star polygon || concave polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ruler, rule ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,159: Line 1,149:
|  ||  
|  ||  
|-
|-
| straight angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| segment bisector || line segment; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,168: Line 1,158:
|  ||  
|  ||  
|-
|-
| sum of angles || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| shape, figure ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,177: Line 1,167:
|  ||  
|  ||  
|-
|-
| surface || plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| similar || similarity
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,186: Line 1,176:
|  ||  
|  ||  
|-
|-
| symmetry ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| similarity || shape; reflection symmetry
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,195: Line 1,185:
|  ||  
|  ||  
|-
|-
| trapezoid || convex polygon; parallel lines
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| simple polygon || polygon; intersection
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,204: Line 1,194:
|  ||  
|  ||  
|-
|-
| triangle (shape) || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| square || quadrilateral; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,213: Line 1,203:
|  ||  
|  ||  
|-
|-
| triangle (tool) || triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| star polygon || concave polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,222: Line 1,212:
|  ||  
|  ||  
|-
|-
| turn, cycle, revolution, complete rotation ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| straight angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,231: Line 1,221:
|  ||  
|  ||  
|-
|-
| two-dimensional space, 2D space || point
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| sum of angles || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,240: Line 1,230:
|  ||  
|  ||  
|-
|-
| vector ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| supplementary angles || adjacent angles; straight angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,249: Line 1,239:
|  ||  
|  ||  
|-
|-
| vertex || point; line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| surface || plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,261: Line 1,251:
|  ||  
|  ||  
|  ||  
|  ||  
| symmetry ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
===== Trigonometry =====
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| trapezoid || convex polygon; parallel lines
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,288: Line 1,266:
|  ||  
|  ||  
|-
|-
| adjacent leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| triangle (shape) || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,297: Line 1,275:
|  ||  
|  ||  
|-
|-
| altitude || triangle (shape); perpendicular; base (polygon)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| triangle (tool) || triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,306: Line 1,284:
|  ||  
|  ||  
|-
|-
| atan2 || tangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| turn, cycle, revolution, complete rotation ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,315: Line 1,293:
|  ||  
|  ||  
|-
|-
| arccosecant || angle; hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| two-dimensional space, 2D space || point
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,324: Line 1,302:
|  ||  
|  ||  
|-
|-
| arccosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| vector ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,333: Line 1,311:
|  ||  
|  ||  
|-
|-
| arccotangent || angle; adjacent leg; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| vertex || point; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,342: Line 1,320:
|  ||  
|  ||  
|-
|-
| arcsecant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,350: Line 1,327:
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
{| class="wikitable sortable"
|+ circle defined by a triangle
! 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
|-
|-
| arcsine || angle; opposite leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circle defined by a triangle || circle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,360: Line 1,350:
|  ||  
|  ||  
|-
|-
| arctangent || angle; opposite leg; adjacent leg
|  ||  
|  ||  
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| cosecant || angle; hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,378: Line 1,359:
|  ||  
|  ||  
|-
|-
| cosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumscribed circle, circumcircle || circle defined by a triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,387: Line 1,368:
|  ||  
|  ||  
|-
|-
| cotangent || angle; adjacent leg; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Fuhrmann circle || circle defined by a triangle; diameter; Nagel point; orthocenter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,396: Line 1,377:
|  ||  
|  ||  
|-
|-
| coversine, coversed sine|| sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Malfatti circles || circle defined by a triangle; tangent circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,405: Line 1,386:
|  ||  
|  ||  
|-
|-
| excircle, escribed circle || triangle (shape); circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| orthocentroidal circle || circle defined by a triangle; equilateral triangle; orthocenter; centroid; diameter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,414: Line 1,395:
|  ||  
|  ||  
|-
|-
| exsecant || secant
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polar circle || circle defined by a triangle; orthocenter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,423: Line 1,404:
|  ||  
|  ||  
|-
|-
| excosecant || cosecant
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| seven-point circle, Brocard circle || circle defined by a triangle; circumcenter; symmedian point
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,432: Line 1,413:
|  ||  
|  ||  
|-
|-
| haversine, haversed sine || cosine
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,440: Line 1,420:
|  ||  
|  ||  
|  ||  
|  ||  
|-
| hacoversine, hacoversed sine || sine
|  ||  
|  ||  
|}
{| 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 1,450: Line 1,443:
|  ||  
|  ||  
|-
|-
| Heron's formula || area; triangle (shape)
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,459: Line 1,452:
|  ||  
|  ||  
|-
|-
| hyperbolic functions || hyperbolic sine; hyperbolic cosine; hyperbolic tangent; hyperbolic cosecant; hyperbolic secant; hyperbolic cotangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| displacement ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,468: Line 1,461:
|  ||  
|  ||  
|-
|-
| hyperbolic cosecant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| translation || geometric transformation; displacement
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,477: Line 1,470:
|  ||  
|  ||  
|-
|-
| hyperbolic cosine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,485: 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
|-
|-
| hyperbolic cotangent || exponential function
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,495: Line 1,500:
|  ||  
|  ||  
|-
|-
| hyperbolic secant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| adjacent leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,504: Line 1,509:
|  ||  
|  ||  
|-
|-
| hyperbolic sine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| central line || triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,513: Line 1,518:
|  ||  
|  ||  
|-
|-
| hyperbolic tangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Heron's formula || area; triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,522: Line 1,527:
|  ||  
|  ||  
|-
|-
| hypotenuse || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hypotenuse || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,531: Line 1,536:
|  ||  
|  ||  
|-
|-
| incircle, inscribed circle || triangle (shape); circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| incircle, inscribed circle || triangle (shape); circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,540: Line 1,545:
|  ||  
|  ||  
|-
|-
| inverse hyperbolic functions || inverse hyperbolic sine; inverse hyperbolic cosine; inverse hyperbolic tangent; inverse hyperbolic cosecant; inverse hyperbolic secant; inverse hyperbolic cotangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Kepler triangle || right triangle; extreme and mean ratio
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,549: Line 1,554:
|  ||  
|  ||  
|-
|-
| inverse hyperbolic cosecant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of cosines || cosine
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,558: Line 1,563:
|  ||  
|  ||  
|-
|-
| inverse hyperbolic cosine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of cotangents || cotangent
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,567: Line 1,572:
|  ||  
|  ||  
|-
|-
| inverse hyperbolic cotangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of sines || sine
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,576: Line 1,581:
|  ||  
|  ||  
|-
|-
| inverse hyperbolic secant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of tangents || tangent
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,585: Line 1,590:
|  ||  
|  ||  
|-
|-
| inverse hyperbolic sine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| median || triangle (shape); midpoint
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,594: Line 1,599:
|  ||  
|  ||  
|-
|-
| inverse hyperbolic tangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Mollweide's formula || hypotenuse; sine; cosine
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,603: Line 1,608:
|  ||  
|  ||  
|-
|-
| inverse trigonometric functions || arcsine; arccosine; arctangent; arccotangent; arcsecant; arccosecant
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Nagel point || triangle center
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,612: Line 1,617:
|  ||  
|  ||  
|-
|-
| Kepler triangle || right triangle; extreme and mean ratio
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| nine-point circle || triangle (shape); circle; midpoint; foot; altitude
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,621: Line 1,626:
|  ||  
|  ||  
|-
|-
| law of cosines || cosine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| opposite leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,630: Line 1,635:
|  ||  
|  ||  
|-
|-
| law of cotangents || cotangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| oval || plane; curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,639: Line 1,644:
|  ||  
|  ||  
|-
|-
| law of sines || sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Pythagoras' theorem, Pythagorean theorem || hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,648: Line 1,653:
|  ||  
|  ||  
|-
|-
| law of tangents || tangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| round angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,657: Line 1,662:
|  ||  
|  ||  
|-
|-
| Mollweide's formula || hypotenuse; sine; cosine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| scale || ratio <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,666: Line 1,671:
|  ||  
|  ||  
|-
|-
| Nagel point || triangle center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| secant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,675: Line 1,680:
|  ||  
|  ||  
|-
|-
| nine-point circle || triangle (shape); circle; midpoint; foot; altitude
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| semicircle || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,684: Line 1,689:
|  ||  
|  ||  
|-
|-
| opposite leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| unit circle || radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,693: Line 1,698:
|  ||  
|  ||  
|-
|-
| oval || plane; curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,701: 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
|-
|-
| Pythagoras' theorem, Pythagorean theorem || hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic function ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,711: Line 1,728:
|  ||  
|  ||  
|-
|-
| round angle || angle
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||  
|  ||  
|  ||
|-
| scale || ratio <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,729: Line 1,737:
|  ||  
|  ||  
|-
|-
| secant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic cosecant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,738: Line 1,746:
|  ||  
|  ||  
|-
|-
| semicircle || circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic cosine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,747: Line 1,755:
|  ||  
|  ||  
|-
|-
| sine || angle; opposite leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic cotangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,756: Line 1,764:
|  ||  
|  ||  
|-
|-
| tangent || angle; opposite leg; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic secant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,765: Line 1,773:
|  ||  
|  ||  
|-
|-
| trigonometric functions, circular functions || sine; cosine; tangent; cotangent; secant; cosecant
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic sine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,774: Line 1,782:
|  ||  
|  ||  
|-
|-
| unit circle || radius
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic tangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,783: Line 1,791:
|  ||  
|  ||  
|-
|-
| versine, versed sine || cosine
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,791: Line 1,798:
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||
|}
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}


==== Discrete and Combinatorial Geometry ====
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
|+ inverse trigonometric 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 1,816: Line 1,815:
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| inverse trigonometric function ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,830: Line 1,829:
|  ||  
|  ||  
|  ||  
|  ||  
|}
==== Solid Geometry ====
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| arccosecant || angle; hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,852: Line 1,839:
|  ||  
|  ||  
|-
|-
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arccosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,861: Line 1,848:
|  ||  
|  ||  
|-
|-
| base (polygon) || face
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arccotangent || angle; adjacent leg; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,870: Line 1,857:
|  ||  
|  ||  
|-
|-
| cone || shape; three-dimensional space; apex; base (polygon)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arcsecant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,879: Line 1,866:
|  ||  
|  ||  
|-
|-
| cuboid || polyhedron; quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arcsine || angle; opposite leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,888: Line 1,875:
|  ||  
|  ||  
|-
|-
| cylinder || circle; base (polygon); prism
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arctangent || angle; opposite leg; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,897: Line 1,884:
|  ||  
|  ||  
|-
|-
| face || surface
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,905: Line 1,891:
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
{| class="wikitable sortable"
|+ 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
|-
|-
| facet || three-dimensional space; polyhedron; polytope
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic function ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,915: Line 1,914:
|  ||  
|  ||  
|-
|-
| field of view ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||  
|  ||  
|  ||
|-
| parallel planes || parallelism
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,933: Line 1,923:
|  ||  
|  ||  
|-
|-
| polyhedron || polygon; face
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic cosecant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,942: Line 1,932:
|  ||  
|  ||  
|-
|-
| polytope || polygon; polyhedron
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic cosine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,951: Line 1,941:
|  ||  
|  ||  
|-
|-
| prism || polyhedron; parallelogram; translation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic cotangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,960: Line 1,950:
|  ||  
|  ||  
|-
|-
| pyramid || polyhedron
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic secant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,969: Line 1,959:
|  ||  
|  ||  
|-
|-
| solid angle || field of view; point; angle; three-dimensional space
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic sine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,978: Line 1,968:
|  ||  
|  ||  
|-
|-
| three-dimensional space, 3D space ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic tangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|}
|  ||
 
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
==== Convex Geometry ====
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
|+ trigonometric 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 2,011: Line 1,992:
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| trigonometric functions, circular functions || sine; cosine; tangent; cotangent; secant; cosecant
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,025: Line 2,006:
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== Non-Euclidean Geometry ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||
|  ||
| atan2 || tangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
|  ||
|  ||
|  ||
| cosecant || angle; hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,050: Line 2,028:
|  ||  
|  ||  
|  ||  
|  ||  
| cosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
|  ||  
|  ||  
|  ||  
|  ||  
|}
==== Elliptic Geometry ====
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|  ||  
|  ||  
| cotangent || angle; adjacent leg; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
| coversine, coversed sine|| sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| excircle, escribed circle || triangle (shape); circle
|  ||  
|  ||  
|}
==== Hyperbolic Geometry ====
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exsecant || secant
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
| excosecant || cosecant
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
==== Spherical Geometry ====
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| haversine, haversed sine || cosine
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,140: Line 2,091:
|  ||  
|  ||  
|  ||  
|  ||  
| hacoversine, hacoversed sine || sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|}
==== Affine Geometry ====
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|  ||  
|  ||  
|  ||  
|  ||  
| sine || angle; opposite leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
| tangent || angle; opposite leg; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
| versine, versed sine || cosine
 
==== Projective Geometry ====
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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 2,207: Line 2,134:
|}
|}


==== Differential Geometry ====
=== Discrete and Combinatorial Geometry ===
==== Combinatorics ====
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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 2,227: Line 2,155:
|  ||  
|  ||  
|-
|-
|  ||
|  ||
|  ||
| circular shift || tuple
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||
|  ||
|  ||
| combination || set <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
===== Riemannian Geometry =====
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| factorial || integer <number theory>; non-negative number <number theory>; product <number theory>
|  ||
|  ||
|  ||
|  ||  
|-
|  ||
|  ||
|  ||
| permutation || set <mathematical logic>; sequence <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,267: Line 2,201:
|}
|}


===== Symplectic Geometry =====
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
|+ 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 2,281: Line 2,215:
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| combinatorial principle ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,295: Line 2,229:
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== Algebraic Geometry ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| bijective proof ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,317: Line 2,239:
|  ||  
|  ||  
|-
|-
| vector sum || vector; sum <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| double counting, counting in two ways ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,329: Line 2,251:
|  ||  
|  ||  
|  ||  
|  ||  
| inclusion–exclusion principle || union <mathematical logic>; intersection <mathematical logic>; cardinality <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
=== Analytic Geometry, Coordinate Geometry ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| method of distinguished element ||
|  ||  
|  ||  
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| pigeonhole principle ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,356: Line 2,275:
|  ||  
|  ||  
|-
|-
| Cartesian coordinate system || cuboid; coordinate system
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rule of division ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,365: Line 2,284:
|  ||  
|  ||  
|-
|-
| coordinate || position
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rule of product, multiplication principle ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,374: Line 2,293:
|  ||  
|  ||  
|-
|-
| cylindrical coordinate system || cylinder; coordinate system
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rule of sum, addition principle ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,383: Line 2,302:
|  ||  
|  ||  
|-
|-
| displacement || Euclidean vector; motion <mechanics>
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,391: Line 2,309:
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
==== Graph 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
|-
|-
| Euclidean space || three-dimensional space
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,401: Line 2,332:
|  ||  
|  ||  
|-
|-
| Euclidean vector || magnitude <number theory>; orientation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| automorphism || graph; symmetry <geometry>
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,410: Line 2,341:
|  ||  
|  ||  
|-
|-
| line–plane intersection || intersection; line; plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| complete graph || undirected graph
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,419: Line 2,350:
|  ||  
|  ||  
|-
|-
| line–sphere intersection || intersection; line; sphere
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| cycle || trail
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,428: Line 2,359:
|  ||  
|  ||  
|-
|-
| position, position vector, location vector || Euclidean vector
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| directed cycle || directed trail
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,437: Line 2,368:
|  ||  
|  ||  
|-
|-
| spherical coordinate system || sphere; coordinate system
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| directed graph, digraph || graph
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,446: Line 2,377:
|  ||  
|  ||  
|-
|-
| three-dimensional space ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge || vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,455: Line 2,386:
|  ||  
|  ||  
|-
|-
| transformation || bijection <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge-labeled graph || edge labeling
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,467: Line 2,398:
|  ||  
|  ||  
|  ||  
|  ||  
| edge labeling || graph labeling
|  ||  
|  ||  
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| endpoint || undirected graph
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== Complex Geometry ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||
|  ||
| graph || set <mathematical logic>; object <mathematical logic>; edge
|  ||
|  ||
|  ||
|  ||
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| graph labeling || graph
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,497: Line 2,434:
|  ||  
|  ||  
|  ||  
|  ||  
| induced subgraph || subgraph
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
=== Synthetic Geometry ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| loop || edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
| multigraph || multiple edges
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| multiple edges, parallel edges || endpoint; tail vertex; head vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== Finite Geometry ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| path || trail
|  ||
|  ||
|  ||
|  ||
|-
|  ||  
|  ||  
|  ||
|  ||
| star (graph theory) || complete bipartite graph; tree
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,557: Line 2,488:
|  ||  
|  ||  
|  ||  
|  ||  
| subgraph || graph; subset <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
== Appendix ==
=== Sentence ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| supergraph || graph; superset <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,588: Line 2,506:
|  ||  
|  ||  
|  ||  
|  ||  
| tour || trail
|  ||  
|  ||  
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| trail || walk
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== Symbol ===
{| class="wikitable sortable"
! symbol
! eng-Latn-US: concept
! cmn-Hans-CN: 概念
! cmn-Latn.Pinyin-CN: gàiniàn
! deu-Latn-DE: Begriff [m]
! fra-Latn-FR: concept [m]
! jpn-Jpan-JP: 概念
! jpn-Hrkt-JP: が↓いねん
! rus-Cyrl-RU: конце́пция
|-
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|}
=== Process ===
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m]
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m]
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| transpose graph || directed graph
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,648: Line 2,530:
|  ||  
|  ||  
|-
|-
| Heron's formula || area; edge length
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| undirected graph || graph
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,657: Line 2,539:
|  ||  
|  ||  
|-
|-
| law of cosines || angle; edge length
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| universal vertex, dominating vertex || undirected graph; dominating set
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,666: Line 2,548:
|  ||  
|  ||  
|-
|-
| law of sines || angle; edge length
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| vertex [pl:vertices], node ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,677: Line 2,559:
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
| vertex labeling || graph labeling
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| vertex-labeled graph || vertex labeling
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== Resource under a Public License ===
==== Classical Geometry ====
{| class="wikitable sortable"
! name
! language
! link
|-
|-
|  
| ||
|  
|  ||
|  
|  ||
| walk || sequence <number theory>; edge
|  ||  
|  ||
|  ||
|  ||  
|-
|-
| Kig
| ||
| English
|  ||
| https://apps.kde.org/kig/
|  ||
| weight || subgraph
| ||
| ||
|  ||
|  ||
|-
|-
|  
|  ||
|  
|  ||
|  
|  ||
|  ||  
|  ||  
|  ||
|  ||
|  ||  
|}
|}


<center>[[File:549px-Thales'_Theorem.svg.png]]</center>
{| class="wikitable sortable"
|+ 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
|-
|  ||
|  ||
|  ||
| perfect graph ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ theorem in graph 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
|-
|  ||
|  ||
|  ||
| theorem in graph theory ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
==== Order 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| trichotomy || real number <number theory>
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
==== 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
=== Solid 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| 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
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| three-dimensional space ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| transformation || bijection <mathematical logic>
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
== 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
|-
|  ||
|  ||
|  ||
|  ||
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== 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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<center>
https://upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Thales%27_Theorem.svg/274px-Thales%27_Theorem.svg.png
</center>


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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
circle defined by a triangle
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
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>
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
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
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
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
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
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
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
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
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>
combinatorial principle
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
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
perfect graph
theorem in graph 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
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
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[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

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

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

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
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
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

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

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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