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

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[[Category:Sci–Tech_Index]]
{{Sci-Tech-Index-Intro}}
This is a part of the [https://polyglotclub.com/wiki/Language/Multiple-languages/Culture/Introduction-to-Sci%E2%80%93Tech-Index Sci–Tech Index], a project for science and technology learners.
 
In progress.


{| 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
| 欧几里得几何
| 几何学 ||
| Ōujīlǐdé jǐhé
| jǐhé xué ||
| euklidische Geometrie
| Geometrie [f] ||  
| Euclidean geometry
| géométrie [f] ||
| géométrie [f] euclidienne
| 幾何学 ||
| ユークリッド幾何学
| き↑か↓がく ||
| ユ↑ークリ-ッドき↑か↓がく
| геоме́трия ||
| евкли́дова геоме́трия
|-
|-
| Euclidean geometry ||
| 平面几何
| 欧几里得几何 ||
| píngmiàn jǐhé
| Ōujīlǐdé jǐhé ||
| ebene Geometrie
| euklidische Geometrie ||
| plane geometry
| géométrie [f] euclidienne ||
| géométrie [f] plane
| ユークリッド幾何学 ||
| 平面幾何
| ユ↑ークリ-ッドき↑か↓がく ||
| へ↑いめ↓んきか
| евкли́дова геоме́трия ||
| пло́ская геоме́трия
|-
|-
| plane geometry ||
| 三角学
| 平面几何 ||
| sānjiǎo xué
| píngmiàn jǐhé ||
| Trigonometrie [f]
| ebene Geometrie ||
| trigonometry
| géométrie [f] plane ||
| trigonométrie [f]
| 平面幾何 ||
| 三角法
| へ↑いめ↓んきか ||
| さ↑んかくほう
| пло́ская геоме́трия ||
| тригономе́трия
|-
|-
| trigonometry ||
| 离散几何与组合几何
| 三角学 ||
| lísǎn jǐhé yǔ zǔhé jǐhé
| sānjiǎo xué ||
| discrete geometry and combinatorial geometry
| Trigonometrie [f] ||
| diskrete Geometrie und kombinatorische Geometrie
| trigonométrie [f] ||
| géométrie discrète et géométrie combinatoire
| 三角法 ||
| 離散幾何学と組み合せ幾何学
| さ↑んかくほう ||
| り↑さんきか↓がくとく↑みあわ↓せき↑か↓がく
| тригономе́трия ||
| дискре́тная геоме́трия и комбинато́рная геоме́трия
|-
|-
| discrete geometry and combinatorial geometry ||
| 立体几何
| 离散几何与组合几何 ||
| lìtǐ jǐhé
| lísǎn jǐhé yǔ zǔhé jǐhé ||
| Stereometrie [f], räumliche Geometrie, Raumgeometrie [f]
| géométrie [f] discrète et géométrie [f] combinatoire ||  
| solid geometry, stereometry
| diskrete Geometrie und kombinatorische Geometrie ||
| géométrie [f] dans l'espace
| 離散幾何学と組み合せ幾何学 ||
| 立体幾何学
| り↑さんきか↓がくとく↑みあわ↓せき↑か↓がく ||
| り↑ったいきか↓がく
| дискре́тная геоме́трия и комбинато́рная геоме́трия ||
| стереоме́трия
|-
|-
| solid geometry, stereometry ||
| 凸几何
| 立体几何 ||
| tū jǐhé
| lìtǐ jǐhé ||
| Konvexgeometrie [f], konvexe Geometrie
| Stereometrie [f], räumliche Geometrie, Raumgeometrie [f] ||  
| convex geometry
| géométrie [f] dans l'espace ||
| géométrie [f] convexe
| 立体幾何学 ||
| 凸幾何学
| り↑ったいきか↓がく ||
| と↑つきか↓がく
| стереоме́трия ||
| вы́пуклая геоме́трия
|-
|-
| convex geometry ||
| 非欧几里得几何
| 凸几何 ||
| fēi Ōujīlǐdé jǐhé
| tū jǐhé ||
| nichteuklidische Geometrie
| Konvexgeometrie [f], konvexe Geometrie ||
| non-Euclidean geometry
| géométrie [f] convexe ||
| géométrie [f] non euclidienne
| 凸幾何学 ||
| 非ユークリッド幾何学
| と↑つきか↓がく ||
| ひ↑ユークリッドきか↓がく
| вы́пуклая геоме́трия ||
| неевкли́дова геоме́трия
|-
|-
| non-Euclidean geometry ||
| 椭圆几何
| 非欧几里得几何 ||
| tuǒyuán jǐhé
| fēi Ōujīlǐdé jǐhé ||
| elliptische Geometrie
| nichteuklidische Geometrie ||
| elliptic geometry
| géométrie [f] non euclidienne ||
| géométrie [f] elliptique
| 非ユークリッド幾何学 ||
| 楕円幾何学
| ひ↑ユークリッドきか↓がく ||
| だ↑えんきかが↓く
| неевкли́дова геоме́трия ||
| эллиптическая геометрия
|-
|-
| elliptic geometry ||
| 双曲几何，罗巴切夫斯基几何
| 椭圆几何 ||
| shuāngqū jǐhé, Luóbājièfūsījī jǐhé
| tuǒyuán jǐhé ||
| hyperbolische Geometrie
| Geometrie [f] ||  
| hyperbolic geometry, Lobachevskian geometry
| géométrie [f] elliptique ||
| géométrie [f] hyperbolique
| 楕円幾何学 ||
| 双曲幾何学，ボヤイ・ロバチェフスキー幾何学
| だ↑えんきかが↓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
| эллиптическая геометрия ||
| гиперболи́ческая геоме́трия, геоме́трия Лобаче́вского
|-
|-
| hyperbolic geometry, Lobachevskian geometry ||
| 球面几何
| 双曲几何, 罗巴切夫斯基几何 ||
| qiúmiàn jǐhé
| shuāngqū jǐhé, Luóbājièfūsījī jǐhé ||
| sphärische Geometrie, Kugelgeometrie [f]
| hyperbolische Geometrie ||
| spherical geometry
| géométrie [f] hyperbolique ||
| géométrie [f] sphérique
| 双曲幾何学, ボヤイ・ロバチェフスキー幾何学 ||
| 球面幾何学
| そ↑うきょくきか↓がく, ボ↓ヤイ・ロ↑バチェフス↓キーき↑か↓がく ||
| きゅ↑うめんきか↓がく
| гиперболи́ческая геоме́трия, геоме́трия Лобаче́вского ||
| сфери́ческая геоме́трия
|-
|-
| spherical geometry ||
| 仿射几何
| 球面几何 ||
| fǎngshè jǐhé
| qiúmiàn jǐhé ||
| affine Geometrie
| sphärische Geometrie, Kugelgeometrie [f] ||  
| affine geometry
| géométrie [f] sphérique ||
| géométrie [f] affine
| 球面幾何学 ||
| アフィン幾何学
| きゅ↑うめんきか↓がく ||
| ア↓フィンき↑か↓がく
| сфери́ческая геоме́трия ||
| аффи́нная геоме́трия
|-
|-
| affine geometry ||
| 射影几何
| 仿射几何 ||
| shèyǐng jǐhé
| fǎngshè jǐhé ||
| projektive Geometrie
| affine Geometrie ||
| projective geometry
| géométrie [f] affine ||
| géométrie [f] projective
| アフィン幾何学 ||
| 射影幾何学
| ア↓フィンき↑か↓がく ||
| しゃ↑えいきか↓がく
| аффи́нная геоме́трия ||
| проекти́вная геоме́трия
|-
|-
| projective geometry ||
| 微分几何
| 射影几何 ||
| wēifēn jǐhé
| shèyǐng jǐhé ||
| Differentialgeometrie [f]
| projektive Geometrie ||
| differential geometry
| géométrie [f] projective ||
| géométrie [f] différentielle
| 射影幾何学 ||
| 微分幾何
| しゃ↑えいきか↓がく ||
| び↑ぶ↓んき↑か↓がく
| проекти́вная геоме́трия ||
| дифференциа́льная геоме́трия
|-
|-
| differential geometry ||
| 黎曼几何
| 微分几何 ||
| Límàn jǐhé
| wēifēn jǐhé ||
| riemannsche Geometrie
| Differentialgeometrie [f] ||
| Riemannian geometry
| géométrie [f] différentielle ||
| géométrie [f] riemannienne
| 微分幾何 ||
| リーマン幾何学
| び↑ぶ↓んき↑か↓がく ||
| リ↑ーマンきか↓がく
| дифференциа́льная геоме́трия ||
| риманова геоме́трия
|-
|-
| Riemannian geometry ||
| 辛几何
| 黎曼几何 ||
| xīn jǐhé
| Límàn jǐhé ||
| symplektische Geometrie
| riemannsche Geometrie ||
| symplectic geometry
| géométrie [f] riemannienne ||
| géométrie [f] symplectique
| リーマン幾何学 ||
| シンプレクティック幾何学
| リ↑ーマンきか↓がく ||
| シ↑ンプレクティックきか↓がく
| риманова геоме́трия ||
| симплектическая геоме́трия
|-
|-
| symplectic geometry ||
| 代数几何
| 辛几何 ||
| dàishù jǐhé
| xīn jǐhé ||
| algebraische Geometrie
| symplektische Geometrie ||
| algebraic geometry
| géométrie [f] symplectique ||
| géométrie [f] algébrique
| シンプレクティック幾何学 ||
| 代数幾何学
| シ↑ンプレクティックきか↓がく ||
| だ↑いすうきか↓がく
| симплектическая геоме́трия ||
| алгебраи́ческая геоме́трия
|-
|-
| algebraic geometry ||
| 解析几何，坐标几何，卡氏几何
| 代数几何 ||
| jiěxī jǐhé, zuòbiāo jǐhé, Kǎshì jǐhé
| dàishù jǐhé ||
| Analytische Geometrie, Vektorgeometrie
| algebraische Geometrie ||
| analytic geometry, coordinate geometry, Cartesian geometry
| géométrie [f] algébrique ||
| géométrie [f] analytique
| 代数幾何学 ||
| 解析幾何学，座標幾何学，デカルト幾何学
| だ↑いすうきか↓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
| алгебраи́ческая геоме́трия ||
| аналити́ческая геоме́трия
|-
|-
| analytic geometry, coordinate geometry, Cartesian geometry ||
| 复几何
| 解析几何, 坐标几何, 卡氏几何 ||
| fù jǐhé
| jiěxī jǐhé, zuòbiāo jǐhé, kǎshì jǐhé ||
| komplexe Geometrie
| Analytische Geometrie, Vektorgeometrie ||  
| complex geometry
| géométrie [f] analytique ||
| géométrie [f] complexe
| 解析幾何学, 座標幾何学, デカルト幾何学 ||
| 複素幾何学
| か↑いせききか↓がく, ざ↑ひょうきか↓がく, デ↑カルトきか↓がく ||
| ふ↑くそきか↓がく
| аналити́ческая геоме́трия ||
| сло́жная геоме́трия
|-
|-
| complex geometry ||
| 综合几何
| 复几何 ||
| zōnghé jǐhé
| fù jǐhé ||
| synthetische Geometrie
| komplexe Geometrie ||
| synthetic geometry, axiomatic geometry, pure geometry
| géométrie [f] complexe ||
| géométrie [f] synthétique, géométrie [f] pure
| 複素幾何学 ||
| 総合幾何学
| ふ↑くそきか↓がく ||
| そ↑うごうきか↓がく
| сло́жная геоме́трия ||
| синтети́ческий ме́тод
|-
|-
| synthetic geometry, axiomatic geometry, pure geometry ||
| 有限几何
| 综合几何 ||
| yǒuxiàn jǐhé
| zōnghé jǐhé ||
| endliche Geometrie
| synthetische Geometrie ||
| finite geometry
| géométrie [f] synthétique, géométrie [f] pure ||
| géométrie [f] finie
| 総合幾何学 ||
| 有限幾何学
| そ↑うごうきか↓がく ||
| ゆ↑うげんきか↓がく
| синтети́ческий ме́тод ||
| коне́чная геоме́трия
|-
|-
| finite geometry ||
|  
| 有限几何 ||
|  
| yǒuxiàn jǐhé ||
|  
| endliche Geometrie ||
|  
| géométrie [f] finie ||
|  
| 有限幾何学 ||
|  
| ゆ↑うげんきか↓がく ||  
|  
| коне́чная геоме́трия ||  
|  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|  ||
|  ||  
|}
|}


Line 225: Line 213:
=== 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 243: Line 231:
|  ||  
|  ||  
|-
|-
| acute angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 252: Line 240:
|  ||  
|  ||  
|-
|-
| acute trapezoid || trapezoid; acute angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute trapezoid || trapezoid; acute angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 261: Line 249:
|  ||  
|  ||  
|-
|-
| acute triangle || acute angle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute triangle || acute angle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 270: Line 258:
|  ||  
|  ||  
|-
|-
| angle || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| adjacent angles || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 279: Line 267:
|  ||  
|  ||  
|-
|-
| annulus [pl:annuli] || circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| altitude || perpendicularity; base (polygon)
|  ||  
|  ||  
|  ||  
|  ||  
Line 288: Line 276:
|  ||  
|  ||  
|-
|-
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| angle || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 297: Line 285:
|  ||  
|  ||  
|-
|-
| aspect ratio || ratio <number theory>
|  ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| angle bisector || angle; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 307: Line 294:
|  ||  
|  ||  
|-
|-
| area || two-dimensional space; plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| annulus [pl:annuli] || concentric circles
|  ||  
|  ||  
|  ||  
|  ||  
Line 316: Line 303:
|  ||  
|  ||  
|-
|-
| arc length || curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 325: Line 312:
|  ||  
|  ||  
|-
|-
| base (polygon) || edge
| 圆周率 ||  
| ||  
| yuánzhōu lǜ ||  
| ||  
| Kreiszahl [f], Pi [n] ||  
| ||  
| Archimedes' constant, pi || circumstance; diameter
|  ||  
|  ||  
|  ||  
|  ||  
Line 334: Line 321:
|  ||  
|  ||  
|-
|-
| Cavalieri's principle || plane, parallelism, intersection, line segment, area
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| aspect ratio || ratio <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 343: Line 330:
|  ||  
|  ||  
|-
|-
| center ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| area || two-dimensional space; plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 352: Line 339:
|  ||  
|  ||  
|-
|-
| centroid || shape; midpoint
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arc length || curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 361: Line 348:
|  ||  
|  ||  
|-
|-
| circle || center; distance
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| auxiliary angle || straight angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 370: Line 357:
|  ||  
|  ||  
|-
|-
| circular sector || disk, radius
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| auxiliary line || mathematical proof <mathematical logic>; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 379: Line 366:
|  ||  
|  ||  
|-
|-
| circumcenter || circumcircle; center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| base (polygon) || edge
|  ||  
|  ||  
|  ||  
|  ||  
Line 388: Line 375:
|  ||  
|  ||  
|-
|-
| circumcircle, circumscribed circle || vertex; circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| bisection ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 397: Line 384:
|  ||  
|  ||  
|-
|-
| circumference || perimeter; circle; ellipse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Cavalieri's principle || plane; parallel lines; intersection; line segment; area
|  ||  
|  ||  
|  ||  
|  ||  
Line 406: Line 393:
|  ||  
|  ||  
|-
|-
| circumradius || circumcircle; radius
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| center ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 415: Line 402:
|  ||  
|  ||  
|-
|-
| closed line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| centroid || shape; midpoint
|  ||  
|  ||  
|  ||  
|  ||  
Line 424: Line 411:
|  ||  
|  ||  
|-
|-
| congruent || shape
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| chord || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 433: Line 420:
|  ||  
|  ||  
|-
|-
| conic section || curve; plane; cone
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circle || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 442: Line 429:
|  ||  
|  ||  
|-
|-
| coordinate || coordinate system; position; point
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circular sector || disk; radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 451: Line 438:
|  ||  
|  ||  
|-
|-
| concave polygon || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumcenter || circumcircle; center
|  ||  
|  ||  
|  ||  
|  ||  
Line 460: Line 447:
|  ||  
|  ||  
|-
|-
| concyclic, cocyclic || point; circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumference || perimeter; circle; ellipse
|  ||  
|  ||  
|  ||  
|  ||  
Line 469: Line 456:
|  ||  
|  ||  
|-
|-
| coordinate system ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumradius || circumcircle; radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 478: Line 465:
|  ||  
|  ||  
|-
|-
| curve ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| closed line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 487: Line 474:
|  ||  
|  ||  
|-
|-
| diameter || circle; end point; center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| complementary angles || adjacent angles; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 496: Line 483:
|  ||  
|  ||  
|-
|-
| disk || plane, circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| congruent || shape
|  ||  
|  ||  
|  ||  
|  ||  
Line 505: Line 492:
|  ||  
|  ||  
|-
|-
| edge || line segment; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| conic section || cone; plane; locus; focus; directrix
|  ||  
|  ||  
|  ||  
|  ||  
Line 514: Line 501:
|  ||  
|  ||  
|-
|-
| ellipse || plane curve; focus
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concave polygon || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 523: Line 510:
|  ||  
|  ||  
|-
|-
| end point || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concentric circles || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 532: Line 519:
|  ||  
|  ||  
|-
|-
| equilateral triangle || triangle (shape); regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concyclic, cocyclic || point; circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 541: Line 528:
|  ||  
|  ||  
|-
|-
| Euclidean space || three-dimensional space
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| coordinate system ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 550: Line 537:
|  ||  
|  ||  
|-
|-
| extended side || edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| curve ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 559: Line 546:
|  ||  
|  ||  
|-
|-
| exterior angle, external angle || extended side
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| diameter || circle; end point; center
|  ||  
|  ||  
|  ||  
|  ||  
Line 568: Line 555:
|  ||  
|  ||  
|-
|-
| extreme and mean ratio, golden ratio, golden mean, golden section ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| disk || plane; circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 577: Line 564:
|  ||  
|  ||  
|-
|-
| focus || point; curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| eccentricity || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 586: Line 573:
|  ||  
|  ||  
|-
|-
| half-open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge || line segment; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 595: Line 582:
|  ||  
|  ||  
|-
|-
| heptagram, septagram, septegram, septogram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge length || edge; length
|  ||  
|  ||  
|  ||  
|  ||  
Line 604: Line 591:
|  ||  
|  ||  
|-
|-
| hexagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ellipse || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 613: Line 600:
|  ||  
|  ||  
|-
|-
| hyperbola || plane curve; conic section
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| end point || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 622: Line 609:
|  ||  
|  ||  
|-
|-
| interior angle, internal angle || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| equilateral triangle || triangle (shape); regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 631: Line 618:
|  ||  
|  ||  
|-
|-
| intersection || geometric object; parallelism
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| explementary angles || adjacent angles; turn
|  ||  
|  ||  
|  ||  
|  ||  
Line 640: Line 627:
|  ||  
|  ||  
|-
|-
| inverse Pythagorean theorem, inverse Pythagoras' theorem || hypotenuse; foot
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extended side || edge
|  ||  
|  ||  
|  ||  
|  ||  
Line 649: Line 636:
|  ||  
|  ||  
|-
|-
| kite, deltoids || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exterior angle, external angle || extended side
|  ||  
|  ||  
|  ||  
|  ||  
Line 658: Line 645:
|  ||  
|  ||  
|-
|-
| length || distance
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exterior angle theorem || exterior angle; round angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 667: Line 654:
|  ||  
|  ||  
|-
|-
| line || point; infinity <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extreme and mean ratio, golden ratio, golden mean, golden section ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 676: Line 663:
|  ||  
|  ||  
|-
|-
| line segment || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| focus || point; curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 685: Line 672:
|  ||  
|  ||  
|-
|-
| line–line intersection || intersection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| half-open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 694: Line 681:
|  ||  
|  ||  
|-
|-
| manifold || Euclidean space; topological space <topology>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| heptagram, septagram, septegram, septogram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 703: Line 690:
|  ||  
|  ||  
|-
|-
| midpoint || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hexagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 712: Line 699:
|  ||  
|  ||  
|-
|-
| mirror image || shape
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 721: Line 708:
|  ||  
|  ||  
|-
|-
| obtuse angle || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| interior angle, internal angle || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 730: Line 717:
|  ||  
|  ||  
|-
|-
| obtuse triangle || obtuse angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| intersection || geometric object; parallel lines
|  ||  
|  ||  
|  ||  
|  ||  
Line 739: Line 726:
|  ||  
|  ||  
|-
|-
| open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse Pythagoras' theorem, inverse Pythagorean theorem || hypotenuse; foot
|  ||  
|  ||  
|  ||  
|  ||  
Line 748: Line 735:
|  ||  
|  ||  
|-
|-
| parabola || plane curve; reflection symmetry
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| kite, deltoids || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
Line 757: Line 744:
|  ||  
|  ||  
|-
|-
| parallelism || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| length || distance
|  ||  
|  ||  
|  ||  
|  ||  
Line 766: Line 753:
|  ||  
|  ||  
|-
|-
| pentagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line || locus
|  ||  
|  ||  
|  ||  
|  ||  
Line 775: Line 762:
|  ||  
|  ||  
|-
|-
| pentagram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line segment || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 784: Line 771:
|  ||  
|  ||  
|-
|-
| perimeter || shape; arc length
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line–line intersection || intersection
|  ||  
|  ||  
|  ||  
|  ||  
Line 793: Line 780:
|  ||  
|  ||  
|-
|-
| perpendicular || perpendicularity
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| locus [pl:loci] || set <mathematical logic>; point
|  ||  
|  ||  
|  ||  
|  ||  
Line 802: Line 789:
|  ||  
|  ||  
|-
|-
| perpendicularity || right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| major arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
Line 811: Line 798:
|  ||  
|  ||  
|-
|-
| pi, Archimedes' constant || circumstance; diameter
| ||  
| 圆周率 ||  
| ||  
| yuánzhōu lǜ ||  
| ||  
| Pi [n], Kreiszahl [f] ||  
| manifold || Euclidean space; topological space <topology>
|  ||  
|  ||  
|  ||  
|  ||  
Line 820: Line 807:
|  ||  
|  ||  
|-
|-
| plane || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| midpoint || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 829: Line 816:
|  ||  
|  ||  
|-
|-
| plane curve || curve; plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| minor arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
Line 838: Line 825:
|  ||  
|  ||  
|-
|-
| point ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| mirror image || shape
|  ||  
|  ||  
|  ||  
|  ||  
Line 847: Line 834:
|  ||  
|  ||  
|-
|-
| polygon || shape; line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| obtuse angle || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 856: Line 843:
|  ||  
|  ||  
|-
|-
| polygonal chain, polygonal curve, polygonal path, polyline || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| obtuse triangle || obtuse angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 865: Line 852:
|  ||  
|  ||  
|-
|-
| position, position vector, location vector || Euclidean vector
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 874: Line 861:
|  ||  
|  ||  
|-
|-
| quadrilateral, quadrangle, tetragon || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| opposite angles, vertical angles || intersection; angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 883: Line 870:
|  ||  
|  ||  
|-
|-
| radius || circle; perimeter
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parabola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 892: Line 879:
|  ||  
|  ||  
|-
|-
| ray, half-line || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parallelism ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 901: Line 888:
|  ||  
|  ||  
|-
|-
| rectangle || quadrilateral; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parallel lines || parallelism; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 910: Line 897:
|  ||  
|  ||  
|-
|-
| reflection || Euclidean space; isometry; hyperplane; fixed point <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| pentagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 919: Line 906:
|  ||  
|  ||  
|-
|-
| reflection symmetry, line symmetry, mirror symmetry || symmetry; reflection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| pentagram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 928: Line 915:
|  ||  
|  ||  
|-
|-
| regular pentagon || pentagon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perimeter || shape; arc length
|  ||  
|  ||  
|  ||  
|  ||  
Line 937: Line 924:
|  ||  
|  ||  
|-
|-
| regular polygon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perpendicular bisector || perpendicularity; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 946: Line 933:
|  ||  
|  ||  
|-
|-
| regular star polygon || star polygon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perpendicularity || right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 955: Line 942:
|  ||  
|  ||  
|-
|-
| right angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| plane || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 964: Line 951:
|  ||  
|  ||  
|-
|-
| right kite || kite; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| plane curve || curve; plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 973: Line 960:
|  ||  
|  ||  
|-
|-
| right trapezoid || trapezoid; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| point ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 982: Line 969:
|  ||  
|  ||  
|-
|-
| right triangle, orthogonal triangle || triangle (shape); right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polygon || shape; line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 991: Line 978:
|  ||  
|  ||  
|-
|-
| rhombus, equilateral quadrilateral, diamond, lozenge || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polygonal chain, polygonal curve, polygonal path, polyline || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,000: Line 987:
|  ||  
|  ||  
|-
|-
| ruler, rule ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| position vector, location vector, radius vector || Euclidean vector
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,009: Line 996:
|  ||  
|  ||  
|-
|-
| shape, figure ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| power of a point || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,018: Line 1,005:
|  ||  
|  ||  
|-
|-
| similar || similarity
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| quadrant || Cartesian coordinate system; domain <mathematical analysis>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,027: Line 1,014:
|  ||  
|  ||  
|-
|-
| similarity || shape; reflection symmetry
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| quadrilateral, quadrangle, tetragon || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,036: Line 1,023:
|  ||  
|  ||  
|-
|-
| simple polygon || polygon; intersection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| radius || circle; perimeter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,045: Line 1,032:
|  ||  
|  ||  
|-
|-
| square || quadrilateral; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ray, half-line || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,054: Line 1,041:
|  ||  
|  ||  
|-
|-
| star polygon || concave polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rectangle || quadrilateral; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,063: Line 1,050:
|  ||  
|  ||  
|-
|-
| surface || plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| reflection || Euclidean space; isometry; hyperplane; fixed point <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,072: Line 1,059:
|  ||  
|  ||  
|-
|-
| symmetry ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| reflection symmetry, line symmetry, mirror symmetry || symmetry; reflection
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,081: Line 1,068:
|  ||  
|  ||  
|-
|-
| three-dimensional space, 3D space ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| regular pentagon || pentagon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,090: Line 1,077:
|  ||  
|  ||  
|-
|-
| trapezoid || convex polygon; parallel
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| regular polygon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,099: Line 1,086:
|  ||  
|  ||  
|-
|-
| triangle (shape) || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| regular star polygon || star polygon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,108: Line 1,095:
|  ||  
|  ||  
|-
|-
| triangle (tool) || triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,117: Line 1,104:
|  ||  
|  ||  
|-
|-
| turn, cycle, revolution, complete rotation ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right kite || kite; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,126: Line 1,113:
|  ||  
|  ||  
|-
|-
| two-dimensional space, 2D space || point
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right trapezoid || trapezoid; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,135: Line 1,122:
|  ||  
|  ||  
|-
|-
| vector ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right triangle, orthogonal triangle || triangle (shape); right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,144: Line 1,131:
|  ||  
|  ||  
|-
|-
| vertex || point; line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rhombus, equilateral quadrilateral, diamond, lozenge || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,156: Line 1,143:
|  ||  
|  ||  
|  ||  
|  ||  
| ruler, rule ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
==== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| segment bisector || line segment; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,183: Line 1,158:
|  ||  
|  ||  
|-
|-
| adjacent leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| shape, figure ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,192: Line 1,167:
|  ||  
|  ||  
|-
|-
| altitude || triangle (shape); perpendicular; base (polygon)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| similar || similarity
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,201: Line 1,176:
|  ||  
|  ||  
|-
|-
| arccosecant || angle, hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| similarity || shape; reflection symmetry
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,210: Line 1,185:
|  ||  
|  ||  
|-
|-
| arccosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| simple polygon || polygon; intersection
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,219: Line 1,194:
|  ||  
|  ||  
|-
|-
| arccotangent || angle; adjacent leg; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| square || quadrilateral; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,228: Line 1,203:
|  ||  
|  ||  
|-
|-
| arcsecant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| star polygon || concave polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,237: Line 1,212:
|  ||  
|  ||  
|-
|-
| arcsine || angle; opposite leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| straight angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,246: Line 1,221:
|  ||  
|  ||  
|-
|-
| arctangent || angle; opposite leg; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| sum of angles || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,255: Line 1,230:
|  ||  
|  ||  
|-
|-
| cosecant || angle; hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| supplementary angles || adjacent angles; straight angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,264: Line 1,239:
|  ||  
|  ||  
|-
|-
| cosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| surface || plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,273: Line 1,248:
|  ||  
|  ||  
|-
|-
| cotangent || angle; adjacent leg; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| symmetry ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,282: Line 1,257:
|  ||  
|  ||  
|-
|-
| excircle, escribed circle || triangle (shape); circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| trapezoid || convex polygon; parallel lines
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,291: Line 1,266:
|  ||  
|  ||  
|-
|-
| Heron's formula || area; triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| triangle (shape) || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,300: Line 1,275:
|  ||  
|  ||  
|-
|-
| hypotenuse || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| triangle (tool) || triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,309: Line 1,284:
|  ||  
|  ||  
|-
|-
| incircle, inscribed circle || triangle (shape); circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| turn, cycle, revolution, complete rotation ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,318: Line 1,293:
|  ||  
|  ||  
|-
|-
| inverse trigonometric functions || arcsine; arccosine; arctangent; arccotangent; arcsecant; arccosecant
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| two-dimensional space, 2D space || point
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,327: Line 1,302:
|  ||  
|  ||  
|-
|-
| Kepler triangle || right triangle; extreme and mean ratio
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| vector ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,336: Line 1,311:
|  ||  
|  ||  
|-
|-
| law of cosines || cosine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| vertex || point; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,345: Line 1,320:
|  ||  
|  ||  
|-
|-
| law of cotangents || cotangent
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,353: 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
|-
|-
| law of sines || sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circle defined by a triangle || circle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,363: Line 1,350:
|  ||  
|  ||  
|-
|-
| law of tangents || tangent
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,372: Line 1,359:
|  ||  
|  ||  
|-
|-
| Mollweide's formula || hypotenuse; sine; cosine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumscribed circle, circumcircle || circle defined by a triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,381: Line 1,368:
|  ||  
|  ||  
|-
|-
| Nagel point || triangle center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Fuhrmann circle || circle defined by a triangle; diameter; Nagel point; orthocenter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,390: Line 1,377:
|  ||  
|  ||  
|-
|-
| nine-point circle || triangle (shape); circle, midpoint; foot; altitude
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Malfatti circles || circle defined by a triangle; tangent circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,399: Line 1,386:
|  ||  
|  ||  
|-
|-
| opposite leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| orthocentroidal circle || circle defined by a triangle; equilateral triangle; orthocenter; centroid; diameter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,408: Line 1,395:
|  ||  
|  ||  
|-
|-
| oval || plane, curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polar circle || circle defined by a triangle; orthocenter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,417: Line 1,404:
|  ||  
|  ||  
|-
|-
| Pythagoras' theorem, Pythagorean theorem || hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| seven-point circle, Brocard circle || circle defined by a triangle; circumcenter; symmedian point
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,426: Line 1,413:
|  ||  
|  ||  
|-
|-
| scale || ratio <number theory>
|  ||
|  ||  
|  ||  
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| secant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,443: Line 1,421:
|  ||  
|  ||  
|  ||  
|  ||  
|}
{| 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
|-
|-
| sine || angle; opposite leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| geometric transformation || bijection <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,453: Line 1,443:
|  ||  
|  ||  
|-
|-
| tangent || angle; opposite leg; adjacent leg
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,462: Line 1,452:
|  ||  
|  ||  
|-
|-
| trigonometric functions, circular functions || sine; cosine; tangent; cotangent; secant; cosecant
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| displacement ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,471: Line 1,461:
|  ||  
|  ||  
|-
|-
| unit circle || radius
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| translation || geometric transformation; displacement
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,490: Line 1,480:
|}
|}


=== Discrete and Combinatorial Geometry ===
==== Trigonometry ====
{| 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 1,513: Line 1,503:
|  ||  
|  ||  
|  ||  
|  ||  
| adjacent leg || right triangle
|  ||  
|  ||  
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| central line || triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| Heron's formula || area; triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,540: Line 1,527:
|  ||  
|  ||  
|-
|-
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hypotenuse || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,549: Line 1,536:
|  ||  
|  ||  
|-
|-
| base (polyhedron) || face
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| incircle, inscribed circle || triangle (shape); circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,558: Line 1,545:
|  ||  
|  ||  
|-
|-
| cone || shape; three-dimensional space; apex; base
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Kepler triangle || right triangle; extreme and mean ratio
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,567: Line 1,554:
|  ||  
|  ||  
|-
|-
| cuboid || polyhedron; polyhedral graph; quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of cosines || cosine
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,576: Line 1,563:
|  ||  
|  ||  
|-
|-
| cylinder || circle; base (polyhedron); prism
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of cotangents || cotangent
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,585: Line 1,572:
|  ||  
|  ||  
|-
|-
| face || surface
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of sines || sine
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,594: Line 1,581:
|  ||  
|  ||  
|-
|-
| facet || three-dimensional space; polyhedron; polytope
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of tangents || tangent
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,603: Line 1,590:
|  ||  
|  ||  
|-
|-
| field of view ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| median || triangle (shape); midpoint
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,612: Line 1,599:
|  ||  
|  ||  
|-
|-
| polyhedron || polygon; face
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Mollweide's formula || hypotenuse; sine; cosine
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,621: Line 1,608:
|  ||  
|  ||  
|-
|-
| polytope || polygon; polyhedron
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Nagel point || triangle center
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,630: Line 1,617:
|  ||  
|  ||  
|-
|-
| prism || polyhedron; parallelogram; translation
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| nine-point circle || triangle (shape); circle; midpoint; foot; altitude
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,639: Line 1,626:
|  ||  
|  ||  
|-
|-
| solid angle || field of view; point; angle; three-dimensional space
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| opposite leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,649: Line 1,636:
|-
|-
|  ||  
|  ||  
|  ||
|  ||
| oval || plane; curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
|  ||
|  ||
|  ||
| Pythagoras' theorem, Pythagorean theorem || hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== Convex 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| round angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,681: Line 1,665:
|  ||  
|  ||  
|  ||  
|  ||  
| scale || ratio <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| secant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,711: Line 1,683:
|  ||  
|  ||  
|  ||  
|  ||  
| semicircle || circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||
|-
|}
 
=== 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
|-
|  ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| unit circle || radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,748: Line 1,708:
|}
|}


=== Hyperbolic Geometry ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
|+ inverse hyperbolic function
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 1,762: Line 1,722:
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| inverse hyperbolic function ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,776: Line 1,736:
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| inverse hyperbolic cosecant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,801: Line 1,749:
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic cosine || exponential function
|  ||  
|  ||  
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| inverse hyperbolic cotangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| inverse hyperbolic secant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,831: Line 1,776:
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic sine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
=== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| inverse hyperbolic tangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,868: Line 1,801:
|}
|}


=== Differential 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 1,882: Line 1,815:
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| inverse trigonometric function ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,896: Line 1,829:
|  ||  
|  ||  
|  ||  
|  ||  
|}
==== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| arccosecant || angle; hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,921: Line 1,842:
|  ||  
|  ||  
|  ||  
|  ||  
| arccosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
==== Symplectic 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| arccotangent || angle; adjacent leg; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,951: Line 1,860:
|  ||  
|  ||  
|  ||  
|  ||  
| arcsecant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| arcsine || angle; opposite leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| arctangent || angle; opposite leg; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,988: Line 1,894:
|}
|}


== Analytic Geometry, Coordinate Geometry ==
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
|+ hyperbolic function
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
| hyperbolic function ||
|  ||
|  ||
|  ||
|  ||
|-
|-
|  ||  
|  ||  
Line 2,008: Line 1,923:
|  ||  
|  ||  
|-
|-
| line–plane intersection || intersection; line; plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic cosecant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,017: Line 1,932:
|  ||  
|  ||  
|-
|-
| line–sphere intersection || intersection; line; sphere
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic cosine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,029: Line 1,944:
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbolic cotangent || exponential function
|  ||  
|  ||  
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| hyperbolic secant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| hyperbolic sine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,059: Line 1,971:
|  ||  
|  ||  
|  ||  
|  ||  
| ||  
| hyperbolic tangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,066: Line 1,978:
|}
|}


== Synthetic 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
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
| trigonometric functions, circular functions || sine; cosine; tangent; cotangent; secant; cosecant
|  ||
|  ||
|  ||
|  ||
|-
|-
|  ||  
|  ||  
Line 2,088: Line 2,009:
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
| atan2 || tangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||
|-
|  ||
|}
 
== 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
|-
|  ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| cosecant || angle; hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,119: Line 2,028:
|  ||  
|  ||  
|  ||  
|  ||  
| cosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
[[File:549px-Thales'_Theorem.svg.png]]
== * Appendix * ==
=== Adjective & Adjective Phrase; Verb & Verb Phrase ===
{| 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
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,152: Line 2,046:
|  ||  
|  ||  
|  ||  
|  ||  
| coversine, coversed sine|| sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ||
|-
|}
 
=== 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
|-
|  ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| excircle, escribed circle || triangle (shape); circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,212: Line 2,061:
|  ||  
|  ||  
|-
|-
| Heron's formula || area; edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exsecant || secant
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,221: Line 2,070:
|  ||  
|  ||  
|-
|-
| law of cosines || angle; edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| excosecant || cosecant
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,230: Line 2,079:
|  ||  
|  ||  
|-
|-
| law of sines || angle; edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| haversine, haversed sine || cosine
|  ||  
|  ||  
|  ||  
|  ||  
Line 2,241: Line 2,090:
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
| hacoversine, hacoversed sine || sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| sine || angle; opposite leg; hypotenuse
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| tangent || angle; opposite leg; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== Related Free Educational Resources ===
{| class="wikitable sortable"
! branch
! name
! link
! language
! public license
|-
|-
|  
|  ||
|  
|  ||
|  
|  ||
|  
| versine, versed sine || cosine
|  ||  
|  ||  
|  ||  
|  ||  
|-
|-
|  
|  ||
|  
|  ||
|  
|  ||
|  
|  ||
|  ||  
|  ||  
|  ||  
|  ||  
|}
|}
=== Discrete and Combinatorial Geometry ===
==== Combinatorics ====
{| 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| 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>
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
{| class="wikitable sortable"
|+ 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 ====
{| 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| 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
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
{| 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
== 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
<center>
https://upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Thales%27_Theorem.svg/274px-Thales%27_Theorem.svg.png
</center>


{{Sci-Tech-Index-Menu}}
{{Sci-Tech-Index-Menu}}
==Other Lessons==
* [[Language/Multiple-languages/Vocabulary/Mechanics|Mechanics]]
* [[Language/Multiple-languages/Vocabulary/Metrology|Metrology]]
* [[Language/Multiple-languages/Vocabulary/Genders-of-countries|Genders of countries]]
* [[Language/Multiple-languages/Vocabulary/Information-Theory|Information Theory]]
* [[Language/Multiple-languages/Vocabulary/Greetings-Nighttime-greeting|Greetings Nighttime greeting]]
* [[Language/Multiple-languages/Vocabulary/Collocations-with-have|Collocations with have]]
* [[Language/Multiple-languages/Vocabulary/Mathematical-Logic|Mathematical Logic]]
* [[Language/Multiple-languages/Vocabulary/Greetings-What-is-the-news|Greetings What is the news]]
* [[Language/Multiple-languages/Vocabulary/Second-Language-Loss-or-Attrition|Second Language Loss or Attrition]]
<span links></span>

Latest revision as of 13:15, 27 March 2023

Hello polyglots, 😀

On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.

cmn-Hans-CN: 科目 cmn-Latn.Pinyin-CN: kēmù deu-Latn-DE: Fach [n] eng-Latn-US: subject fra-Latn-FR: matière [f] jpn-Jpan-JP: 科目 jpn-Hrkt-JP: か↑もく rus-Cyrl-RU: предме́т
欧几里得几何 Ōujīlǐdé jǐhé euklidische Geometrie Euclidean geometry géométrie [f] euclidienne ユークリッド幾何学 ユ↑ークリ-ッドき↑か↓がく евкли́дова геоме́трия
平面几何 píngmiàn jǐhé ebene Geometrie plane geometry géométrie [f] plane 平面幾何 へ↑いめ↓んきか пло́ская геоме́трия
三角学 sānjiǎo xué Trigonometrie [f] trigonometry trigonométrie [f] 三角法 さ↑んかくほう тригономе́трия
离散几何与组合几何 lísǎn jǐhé yǔ zǔhé jǐhé discrete geometry and combinatorial geometry diskrete Geometrie und kombinatorische Geometrie géométrie discrète et géométrie combinatoire 離散幾何学と組み合せ幾何学 り↑さんきか↓がくとく↑みあわ↓せき↑か↓がく дискре́тная геоме́трия и комбинато́рная геоме́трия
立体几何 lìtǐ jǐhé Stereometrie [f], räumliche Geometrie, Raumgeometrie [f] solid geometry, stereometry géométrie [f] dans l'espace 立体幾何学 り↑ったいきか↓がく стереоме́трия
凸几何 tū jǐhé Konvexgeometrie [f], konvexe Geometrie convex geometry géométrie [f] convexe 凸幾何学 と↑つきか↓がく вы́пуклая геоме́трия
非欧几里得几何 fēi Ōujīlǐdé jǐhé nichteuklidische Geometrie non-Euclidean geometry géométrie [f] non euclidienne 非ユークリッド幾何学 ひ↑ユークリッドきか↓がく неевкли́дова геоме́трия
椭圆几何 tuǒyuán jǐhé elliptische Geometrie elliptic geometry géométrie [f] elliptique 楕円幾何学 だ↑えんきかが↓く эллиптическая геометрия
双曲几何，罗巴切夫斯基几何 shuāngqū jǐhé, Luóbājièfūsījī jǐhé hyperbolische Geometrie hyperbolic geometry, Lobachevskian geometry géométrie [f] hyperbolique 双曲幾何学，ボヤイ・ロバチェフスキー幾何学 そ↑うきょくきか↓がく，ボ↓ヤイ・ロ↑バチェフス↓キーき↑か↓がく гиперболи́ческая геоме́трия, геоме́трия Лобаче́вского
球面几何 qiúmiàn jǐhé sphärische Geometrie, Kugelgeometrie [f] spherical geometry géométrie [f] sphérique 球面幾何学 きゅ↑うめんきか↓がく сфери́ческая геоме́трия
仿射几何 fǎngshè jǐhé affine Geometrie affine geometry géométrie [f] affine アフィン幾何学 ア↓フィンき↑か↓がく аффи́нная геоме́трия
射影几何 shèyǐng jǐhé projektive Geometrie projective geometry géométrie [f] projective 射影幾何学 しゃ↑えいきか↓がく проекти́вная геоме́трия
微分几何 wēifēn jǐhé Differentialgeometrie [f] differential geometry géométrie [f] différentielle 微分幾何 び↑ぶ↓んき↑か↓がく дифференциа́льная геоме́трия
黎曼几何 Límàn jǐhé riemannsche Geometrie Riemannian geometry géométrie [f] riemannienne リーマン幾何学 リ↑ーマンきか↓がく риманова геоме́трия
辛几何 xīn jǐhé symplektische Geometrie symplectic geometry géométrie [f] symplectique シンプレクティック幾何学 シ↑ンプレクティックきか↓がく симплектическая геоме́трия
代数几何 dàishù jǐhé algebraische Geometrie algebraic geometry géométrie [f] algébrique 代数幾何学 だ↑いすうきか↓がく алгебраи́ческая геоме́трия
解析几何，坐标几何，卡氏几何 jiěxī jǐhé, zuòbiāo jǐhé, Kǎshì jǐhé Analytische Geometrie, Vektorgeometrie analytic geometry, coordinate geometry, Cartesian geometry géométrie [f] analytique 解析幾何学，座標幾何学，デカルト幾何学 か↑いせききか↓がく，ざ↑ひょうきか↓がく，デ↑カルトきか↓がく аналити́ческая геоме́трия
复几何 fù jǐhé komplexe Geometrie complex geometry géométrie [f] complexe 複素幾何学 ふ↑くそきか↓がく сло́жная геоме́трия
综合几何 zōnghé jǐhé synthetische Geometrie synthetic geometry, axiomatic geometry, pure geometry géométrie [f] synthétique, géométrie [f] pure 総合幾何学 そ↑うごうきか↓がく синтети́ческий ме́тод
有限几何 yǒuxiàn jǐhé endliche Geometrie finite geometry géométrie [f] finie 有限幾何学 ゆ↑うげんきか↓がく коне́чная геоме́трия

Euclidean Geometry[edit | edit source]

Plane Geometry[edit | edit source]

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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
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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
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geometric transformation bijection <mathematical logic>
displacement
translation geometric transformation; displacement

Trigonometry[edit | edit source]

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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
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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
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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
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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
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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]

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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
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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]

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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
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perfect graph
theorem in graph theory
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theorem in graph theory

Order Theory[edit | edit source]

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trichotomy real number <number theory>

Game Theory[edit | edit source]

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Solid Geometry[edit | edit source]

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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
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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]

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Non-Euclidean Geometry[edit | edit source]

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Elliptic Geometry[edit | edit source]

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Hyperbolic Geometry[edit | edit source]

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Spherical Geometry[edit | edit source]

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Affine Geometry[edit | edit source]

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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

274px-Thales%27_Theorem.svg.png

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