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


== Euclidean geometry ==
== Euclidean Geometry ==
=== plane geometry ===
=== Plane Geometry ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 225: Line 222:
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| acute angle || angle
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 234: Line 231:
|  ||  
|  ||  
|-
|-
| acute trapezoid || trapezoid; acute angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 243: Line 240:
|  ||  
|  ||  
|-
|-
| acute triangle || acute angle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute trapezoid || trapezoid; acute angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 252: Line 249:
|  ||  
|  ||  
|-
|-
| angle || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute triangle || acute angle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 261: Line 258:
|  ||  
|  ||  
|-
|-
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| adjacent angles || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 270: Line 267:
|  ||  
|  ||  
|-
|-
| area || two-dimensional space; plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| altitude || perpendicularity; base (polygon)
|  ||  
|  ||  
|  ||  
|  ||  
Line 279: Line 276:
|  ||  
|  ||  
|-
|-
| arc length || curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| angle || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 288: Line 285:
|  ||  
|  ||  
|-
|-
| base (polygon) || edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| angle bisector || angle; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 297: Line 294:
|  ||  
|  ||  
|-
|-
| center ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| annulus [pl:annuli] || concentric circles
|  ||  
|  ||  
|  ||  
|  ||  
Line 306: Line 303:
|  ||  
|  ||  
|-
|-
| centroid || shape; midpoint
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 315: Line 312:
|  ||  
|  ||  
|-
|-
| circle || center; distance
| 圆周率 ||  
| ||  
| yuánzhōu lǜ ||  
| ||  
| Kreiszahl [f], Pi [n] ||  
| ||  
| Archimedes' constant, pi || circumstance; diameter
|  ||  
|  ||  
|  ||  
|  ||  
Line 324: Line 321:
|  ||  
|  ||  
|-
|-
| circumcenter || circumcircle; center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| aspect ratio || ratio <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 333: Line 330:
|  ||  
|  ||  
|-
|-
| circumcircle, circumscribed circle || vertex; circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| area || two-dimensional space; plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 342: Line 339:
|  ||  
|  ||  
|-
|-
| circumference || perimeter; circle; ellipse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arc length || curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 351: Line 348:
|  ||  
|  ||  
|-
|-
| circumradius || circumcircle; radius
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| auxiliary angle || straight angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 360: Line 357:
|  ||  
|  ||  
|-
|-
| closed line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| auxiliary line || mathematical proof <mathematical logic>; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 369: Line 366:
|  ||  
|  ||  
|-
|-
| congruent || shape
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| base (polygon) || edge
|  ||  
|  ||  
|  ||  
|  ||  
Line 378: Line 375:
|  ||  
|  ||  
|-
|-
| conic section || curve; plane; cone
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| bisection ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 387: Line 384:
|  ||  
|  ||  
|-
|-
| coordinate || coordinate system; position; point
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Cavalieri's principle || plane; parallel lines; intersection; line segment; area
|  ||  
|  ||  
|  ||  
|  ||  
Line 396: Line 393:
|  ||  
|  ||  
|-
|-
| concave polygon || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| center ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 405: Line 402:
|  ||  
|  ||  
|-
|-
| concyclic, cocyclic || point; circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| centroid || shape; midpoint
|  ||  
|  ||  
|  ||  
|  ||  
Line 414: Line 411:
|  ||  
|  ||  
|-
|-
| coordinate system ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| chord || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 423: Line 420:
|  ||  
|  ||  
|-
|-
| curve ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circle || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 432: Line 429:
|  ||  
|  ||  
|-
|-
| diameter || circle; end point; center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circular sector || disk; radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 441: Line 438:
|  ||  
|  ||  
|-
|-
| edge || line segment; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumcenter || circumcircle; center
|  ||  
|  ||  
|  ||  
|  ||  
Line 450: Line 447:
|  ||  
|  ||  
|-
|-
| ellipse || plane curve; focus
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumference || perimeter; circle; ellipse
|  ||  
|  ||  
|  ||  
|  ||  
Line 459: Line 456:
|  ||  
|  ||  
|-
|-
| end point || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumradius || circumcircle; radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 468: Line 465:
|  ||  
|  ||  
|-
|-
| equilateral triangle || triangle (shape); regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| closed line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 477: Line 474:
|  ||  
|  ||  
|-
|-
| Euclidean space || three-dimensional space
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| complementary angles || adjacent angles; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 486: Line 483:
|  ||  
|  ||  
|-
|-
| extended side || edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| congruent || shape
|  ||  
|  ||  
|  ||  
|  ||  
Line 495: Line 492:
|  ||  
|  ||  
|-
|-
| exterior angle, external angle || extended side
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| conic section || cone; plane; locus; focus; directrix
|  ||  
|  ||  
|  ||  
|  ||  
Line 504: Line 501:
|  ||  
|  ||  
|-
|-
| extreme and mean ratio, golden ratio, golden mean, golden section ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concave polygon || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 513: Line 510:
|  ||  
|  ||  
|-
|-
| focus || point; curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concentric circles || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 522: Line 519:
|  ||  
|  ||  
|-
|-
| half-open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concyclic, cocyclic || point; circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 531: Line 528:
|  ||  
|  ||  
|-
|-
| heptagram, septagram, septegram, septogram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| coordinate system ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 540: Line 537:
|  ||  
|  ||  
|-
|-
| hexagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| curve ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 549: Line 546:
|  ||  
|  ||  
|-
|-
| hyperbola || plane curve; conic section
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| diameter || circle; end point; center
|  ||  
|  ||  
|  ||  
|  ||  
Line 558: Line 555:
|  ||  
|  ||  
|-
|-
| interior angle, internal angle || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| disk || plane; circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 567: Line 564:
|  ||  
|  ||  
|-
|-
| inverse Pythagorean theorem, inverse Pythagoras' theorem || hypotenuse; foot
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| eccentricity || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 576: Line 573:
|  ||  
|  ||  
|-
|-
| kite, deltoids || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge || line segment; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 585: Line 582:
|  ||  
|  ||  
|-
|-
| length || distance
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge length || edge; length
|  ||  
|  ||  
|  ||  
|  ||  
Line 594: Line 591:
|  ||  
|  ||  
|-
|-
| line || point; infinity <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ellipse || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 603: Line 600:
|  ||  
|  ||  
|-
|-
| line segment || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| end point || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 612: Line 609:
|  ||  
|  ||  
|-
|-
| manifold || Euclidean space; topological space <topology>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| equilateral triangle || triangle (shape); regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 621: Line 618:
|  ||  
|  ||  
|-
|-
| midpoint || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| explementary angles || adjacent angles; turn
|  ||  
|  ||  
|  ||  
|  ||  
Line 630: Line 627:
|  ||  
|  ||  
|-
|-
| mirror image || shape
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extended side || edge
|  ||  
|  ||  
|  ||  
|  ||  
Line 639: Line 636:
|  ||  
|  ||  
|-
|-
| obtuse angle || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exterior angle, external angle || extended side
|  ||  
|  ||  
|  ||  
|  ||  
Line 648: Line 645:
|  ||  
|  ||  
|-
|-
| obtuse triangle || obtuse angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exterior angle theorem || exterior angle; round angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 657: Line 654:
|  ||  
|  ||  
|-
|-
| open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extreme and mean ratio, golden ratio, golden mean, golden section ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 666: Line 663:
|  ||  
|  ||  
|-
|-
| parabola || plane curve; reflection symmetry
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| focus || point; curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 675: Line 672:
|  ||  
|  ||  
|-
|-
| parallel || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| half-open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 684: Line 681:
|  ||  
|  ||  
|-
|-
| pentagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| heptagram, septagram, septegram, septogram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 693: Line 690:
|  ||  
|  ||  
|-
|-
| pentagram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hexagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 702: Line 699:
|  ||  
|  ||  
|-
|-
| perimeter || shape; arc length
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 711: Line 708:
|  ||  
|  ||  
|-
|-
| perpendicular || perpendicularity
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| interior angle, internal angle || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 720: Line 717:
|  ||  
|  ||  
|-
|-
| perpendicularity || right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| intersection || geometric object; parallel lines
|  ||  
|  ||  
|  ||  
|  ||  
Line 729: Line 726:
|  ||  
|  ||  
|-
|-
| pi, Archimedes' constant || circumstance; diameter
| ||  
| 圆周率 ||  
| ||  
| yuánzhōu lǜ ||  
| ||  
| Pi [n], Kreiszahl [f] ||  
| inverse Pythagoras' theorem, inverse Pythagorean theorem || hypotenuse; foot
|  ||  
|  ||  
|  ||  
|  ||  
Line 738: Line 735:
|  ||  
|  ||  
|-
|-
| plane || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| kite, deltoids || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
Line 747: Line 744:
|  ||  
|  ||  
|-
|-
| plane curve || curve; plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| length || distance
|  ||  
|  ||  
|  ||  
|  ||  
Line 756: Line 753:
|  ||  
|  ||  
|-
|-
| point ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line || locus
|  ||  
|  ||  
|  ||  
|  ||  
Line 765: Line 762:
|  ||  
|  ||  
|-
|-
| polygon || shape; line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line segment || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 774: Line 771:
|  ||  
|  ||  
|-
|-
| polygonal chain, polygonal curve, polygonal path, polyline || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line–line intersection || intersection
|  ||  
|  ||  
|  ||  
|  ||  
Line 783: Line 780:
|  ||  
|  ||  
|-
|-
| position, position vector, location vector || Euclidean vector
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| locus [pl:loci] || set <mathematical logic>; point
|  ||  
|  ||  
|  ||  
|  ||  
Line 792: Line 789:
|  ||  
|  ||  
|-
|-
| quadrilateral, quadrangle, tetragon || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| major arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
Line 801: Line 798:
|  ||  
|  ||  
|-
|-
| radius || circle; perimeter
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| manifold || Euclidean space; topological space <topology>
|  ||  
|  ||  
|  ||  
|  ||  
Line 810: Line 807:
|  ||  
|  ||  
|-
|-
| ray, half-line || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| midpoint || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 819: Line 816:
|  ||  
|  ||  
|-
|-
| rectangle || quadrilateral; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| minor arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
Line 828: Line 825:
|  ||  
|  ||  
|-
|-
| reflection || Euclidean space; isometry; hyperplane; fixed point <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| mirror image || shape
|  ||  
|  ||  
|  ||  
|  ||  
Line 837: Line 834:
|  ||  
|  ||  
|-
|-
| reflection symmetry, line symmetry, mirror symmetry || symmetry; reflection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| obtuse angle || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 846: Line 843:
|  ||  
|  ||  
|-
|-
| regular pentagon || pentagon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| obtuse triangle || obtuse angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 855: Line 852:
|  ||  
|  ||  
|-
|-
| regular polygon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 864: Line 861:
|  ||  
|  ||  
|-
|-
| regular star polygon || star polygon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| opposite angles, vertical angles || intersection; angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 873: Line 870:
|  ||  
|  ||  
|-
|-
| right angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parabola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 882: Line 879:
|  ||  
|  ||  
|-
|-
| right kite || kite; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parallelism ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 891: Line 888:
|  ||  
|  ||  
|-
|-
| right trapezoid || trapezoid; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parallel lines || parallelism; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 900: Line 897:
|  ||  
|  ||  
|-
|-
| right triangle, orthogonal triangle || triangle (shape); right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| pentagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 909: Line 906:
|  ||  
|  ||  
|-
|-
| rhombus, equilateral quadrilateral, diamond, lozenge || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| pentagram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 918: Line 915:
|  ||  
|  ||  
|-
|-
| ruler, rule ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perimeter || shape; arc length
|  ||  
|  ||  
|  ||  
|  ||  
Line 927: Line 924:
|  ||  
|  ||  
|-
|-
| shape, figure ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perpendicular bisector || perpendicularity; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 936: Line 933:
|  ||  
|  ||  
|-
|-
| similar || similarity
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perpendicularity || right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 945: Line 942:
|  ||  
|  ||  
|-
|-
| similarity || shape; reflection symmetry
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| plane || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 954: Line 951:
|  ||  
|  ||  
|-
|-
| simple polygon || polygon; intersection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| plane curve || curve; plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 963: Line 960:
|  ||  
|  ||  
|-
|-
| square || quadrilateral; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| point ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 972: Line 969:
|  ||  
|  ||  
|-
|-
| star polygon || concave polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polygon || shape; line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 981: Line 978:
|  ||  
|  ||  
|-
|-
| surface || plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polygonal chain, polygonal curve, polygonal path, polyline || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 990: Line 987:
|  ||  
|  ||  
|-
|-
| symmetry ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| position vector, location vector, radius vector || Euclidean vector
|  ||  
|  ||  
|  ||  
|  ||  
Line 999: Line 996:
|  ||  
|  ||  
|-
|-
| three-dimensional space, 3D space ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| power of a point || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,008: Line 1,005:
|  ||  
|  ||  
|-
|-
| trapezoid || convex polygon; parallel
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| quadrant || Cartesian coordinate system; domain <mathematical analysis>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,017: Line 1,014:
|  ||  
|  ||  
|-
|-
| triangle (shape) || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| quadrilateral, quadrangle, tetragon || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,026: Line 1,023:
|  ||  
|  ||  
|-
|-
| triangle (tool) || triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| radius || circle; perimeter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,035: Line 1,032:
|  ||  
|  ||  
|-
|-
| turn, cycle, revolution, complete rotation ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ray, half-line || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,044: Line 1,041:
|  ||  
|  ||  
|-
|-
| two-dimensional space, 2D space || point
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rectangle || quadrilateral; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,053: Line 1,050:
|  ||  
|  ||  
|-
|-
| vector ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| reflection || Euclidean space; isometry; hyperplane; fixed point <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,062: Line 1,059:
|  ||  
|  ||  
|-
|-
| vertex || point; line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| reflection symmetry, line symmetry, mirror symmetry || symmetry; reflection
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,074: Line 1,071:
|  ||  
|  ||  
|  ||  
|  ||  
| regular pentagon || pentagon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
==== 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
|-
|-
| adjacent leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| regular polygon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,101: Line 1,086:
|  ||  
|  ||  
|-
|-
| altitude || triangle (shape); perpendicular; base (polygon)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| regular star polygon || star polygon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,110: Line 1,095:
|  ||  
|  ||  
|-
|-
| arccosecant || angle, hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,119: Line 1,104:
|  ||  
|  ||  
|-
|-
| arccosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right kite || kite; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,128: Line 1,113:
|  ||  
|  ||  
|-
|-
| arccotangent || angle; adjacent leg; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right trapezoid || trapezoid; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,137: Line 1,122:
|  ||  
|  ||  
|-
|-
| arcsecant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| right triangle, orthogonal triangle || triangle (shape); right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,146: Line 1,131:
|  ||  
|  ||  
|-
|-
| arcsine || angle; opposite leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rhombus, equilateral quadrilateral, diamond, lozenge || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,155: Line 1,140:
|  ||  
|  ||  
|-
|-
| arctangent || angle; opposite leg; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ruler, rule ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,164: Line 1,149:
|  ||  
|  ||  
|-
|-
| cosecant || angle; hypotenuse; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| segment bisector || line segment; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,173: Line 1,158:
|  ||  
|  ||  
|-
|-
| cosine || angle; adjacent leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| shape, figure ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,182: Line 1,167:
|  ||  
|  ||  
|-
|-
| cotangent || angle; adjacent leg; opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| similar || similarity
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,191: Line 1,176:
|  ||  
|  ||  
|-
|-
| excircle, escribed circle || triangle (shape); circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| similarity || shape; reflection symmetry
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,200: Line 1,185:
|  ||  
|  ||  
|-
|-
| Heron's formula || area; triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| simple polygon || polygon; intersection
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,209: Line 1,194:
|  ||  
|  ||  
|-
|-
| hypotenuse || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| square || quadrilateral; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,218: Line 1,203:
|  ||  
|  ||  
|-
|-
| incircle, inscribed circle || triangle (shape); circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| star polygon || concave polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,227: Line 1,212:
|  ||  
|  ||  
|-
|-
| inverse trigonometric functions || arcsine; arccosine; arctangent; arccotangent; arcsecant; arccosecant
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| straight angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,236: Line 1,221:
|  ||  
|  ||  
|-
|-
| Kepler triangle || right triangle; extreme and mean ratio
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| sum of angles || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,245: Line 1,230:
|  ||  
|  ||  
|-
|-
| law of cosines || cosine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| supplementary angles || adjacent angles; straight angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,254: Line 1,239:
|  ||  
|  ||  
|-
|-
| law of cotangents || cotangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| surface || plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,263: Line 1,248:
|  ||  
|  ||  
|-
|-
| law of sines || sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| symmetry ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,272: Line 1,257:
|  ||  
|  ||  
|-
|-
| law of tangents || tangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| trapezoid || convex polygon; parallel lines
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,281: Line 1,266:
|  ||  
|  ||  
|-
|-
| Mollweide's formula || hypotenuse; sine; cosine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| triangle (shape) || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,290: Line 1,275:
|  ||  
|  ||  
|-
|-
| Nagel point || triangle center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| triangle (tool) || triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,299: Line 1,284:
|  ||  
|  ||  
|-
|-
| nine-point circle || triangle (shape); circle, midpoint; foot; altitude
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| turn, cycle, revolution, complete rotation ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,308: Line 1,293:
|  ||  
|  ||  
|-
|-
| opposite leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| two-dimensional space, 2D space || point
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,317: Line 1,302:
|  ||  
|  ||  
|-
|-
| Pythagoras' theorem, Pythagorean theorem || hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| vector ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,326: Line 1,311:
|  ||  
|  ||  
|-
|-
| secant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| vertex || point; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,335: Line 1,320:
|  ||  
|  ||  
|-
|-
| sine || angle; opposite leg; hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,343: 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
|-
|-
| tangent || angle; opposite leg; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circle defined by a triangle || circle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,353: Line 1,350:
|  ||  
|  ||  
|-
|-
| trigonometric functions, circular functions || sine; cosine; tangent; cotangent; secant; cosecant
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,362: Line 1,359:
|  ||  
|  ||  
|-
|-
| unit circle || radius
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumscribed circle, circumcircle || circle defined by a triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,371: Line 1,368:
|  ||  
|  ||  
|-
|-
|  ||
|  ||
|  ||
| Fuhrmann circle || circle defined by a triangle; diameter; Nagel point; orthocenter
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Malfatti circles || circle defined by a triangle; tangent circle
|  ||  
|  ||  
|}
=== discrete and combinatorial 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
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|  ||
|  ||
|  ||
|}
=== 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
|-
|-
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| orthocentroidal circle || circle defined by a triangle; equilateral triangle; orthocenter; centroid; diameter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,422: Line 1,395:
|  ||  
|  ||  
|-
|-
| base (polyhedron) || face
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polar circle || circle defined by a triangle; orthocenter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,431: Line 1,404:
|  ||  
|  ||  
|-
|-
| cone || shape; three-dimensional space; apex; base
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| seven-point circle, Brocard circle || circle defined by a triangle; circumcenter; symmedian point
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,440: Line 1,413:
|  ||  
|  ||  
|-
|-
| cuboid || polyhedron; polyhedral graph; quadrilateral
|  ||  
|  ||  
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| cylinder || circle; base (polyhedron); prism
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,457: 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
|-
|-
| face || surface
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| geometric transformation || bijection <mathematical logic>
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,467: Line 1,443:
|  ||  
|  ||  
|-
|-
| facet || three-dimensional space; polyhedron; polytope
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,476: Line 1,452:
|  ||  
|  ||  
|-
|-
| field of view ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| displacement ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,485: Line 1,461:
|  ||  
|  ||  
|-
|-
| polyhedron || polygon; face
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| translation || geometric transformation; displacement
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,494: Line 1,470:
|  ||  
|  ||  
|-
|-
| polytope || polygon; polyhedron
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,502: Line 1,477:
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
==== Trigonometry ====
{| class="wikitable sortable"
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| prism || polyhedron; parallelogram; translation
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,512: Line 1,500:
|  ||  
|  ||  
|-
|-
| solid angle || field of view; point; angle; three-dimensional space
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| adjacent leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,524: Line 1,512:
|  ||  
|  ||  
|  ||  
|  ||  
| central line || triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== 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
|-
|  ||  
|  ||  
| Heron's formula || area; triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
| hypotenuse || right triangle
 
== 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
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||
|  ||
|  ||
| incircle, inscribed circle || triangle (shape); 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
|-
|-
|  ||  
|  ||  
|  ||
|  ||
| Kepler triangle || right triangle; extreme and mean ratio
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
| law of cosines || cosine
 
=== hyperbolic geometry ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||
|  ||
|  ||
| law of cotangents || cotangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== 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
|-
|-
|  ||  
|  ||  
|  ||
|  ||
| law of sines || sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
|  ||
|  ||
|  ||
| law of tangents || tangent
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| median || triangle (shape); midpoint
|  ||  
|  ||  
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| Mollweide's formula || hypotenuse; sine; cosine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== projective geometry ===
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Nagel point || triangle center
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|}
=== differential 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
|-
|  ||  
|  ||  
|  ||  
|  ||  
| nine-point circle || triangle (shape); circle; midpoint; foot; altitude
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| opposite leg || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
==== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| oval || plane; curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|}
==== 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
|-
|  ||  
|  ||  
|  ||  
|  ||  
| Pythagoras' theorem, Pythagorean theorem || hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| round angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
| scale || ratio <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|}
== analytic geometry / coordinate geometry ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||  
|  ||  
| secant || angle; hypotenuse; adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|-
|  ||
|  ||
|  ||
| semicircle || circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
== 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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| unit circle || radius
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
== synthetic geometry ==
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
Line 1,825: Line 1,708:
|}
|}


== finite 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
! 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
|-
|  ||
|  ||
|  ||
| inverse hyperbolic function ||
|  ||
|  ||
|  ||
|  ||
|-
|-
|  ||  
|  ||  
Line 1,844: Line 1,736:
|  ||  
|  ||  
|  ||  
|  ||  
|}
[[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
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic cosecant || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
=== 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
|-
|-
| Heron's formula || area; edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic cosine || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,913: Line 1,755:
|  ||  
|  ||  
|-
|-
| law of cosines || angle; edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic cotangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,922: Line 1,764:
|  ||  
|  ||  
|-
|-
| law of sines || angle; edge
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse hyperbolic secant || exponential function
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| inverse hyperbolic sine || exponential function
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| inverse hyperbolic tangent || exponential function
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,941: Line 1,801:
|}
|}


=== Related Free Educational Resources ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! branch
|+ inverse trigonometric function
! name
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! link
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! language
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! public license
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  
|  ||
|  
|  ||
|  
|  ||
|  
| inverse trigonometric function ||
|}
|  ||
 
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| arccosecant || angle; hypotenuse; opposite leg
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| arccosine || angle; adjacent leg; hypotenuse
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| arccotangent || angle; adjacent leg; opposite leg
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| arcsecant || angle; hypotenuse; adjacent leg
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| arcsine || angle; opposite leg; hypotenuse
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| arctangent || angle; opposite leg; adjacent leg
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ hyperbolic function
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
| 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
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ trigonometric function
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
| trigonometric functions, circular functions || sine; cosine; tangent; cotangent; secant; cosecant
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| 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 ===
==== 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]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
acute angle angle
acute trapezoid trapezoid; acute angle
acute triangle acute angle; triangle
adjacent angles angle
altitude perpendicularity; base (polygon)
angle line
angle bisector angle; bisection
annulus [pl:annuli] concentric circles
apex vertex
圆周率 yuánzhōu lǜ Kreiszahl [f], Pi [n] Archimedes' constant, pi circumstance; diameter
aspect ratio ratio <number theory>
area two-dimensional space; plane
arc length curve
auxiliary angle straight angle
auxiliary line mathematical proof <mathematical logic>; line
base (polygon) edge
bisection
Cavalieri's principle plane; parallel lines; intersection; line segment; area
center
centroid shape; midpoint
chord circle
circle conic section
circular sector disk; radius
circumcenter circumcircle; center
circumference perimeter; circle; ellipse
circumradius circumcircle; radius
closed line segment line segment
complementary angles adjacent angles; right angle
congruent shape
conic section cone; plane; locus; focus; directrix
concave polygon simple polygon
concentric circles circle
concyclic, cocyclic point; circle
coordinate system
curve
diameter circle; end point; center
disk plane; circle
eccentricity conic section
edge line segment; vertex
edge length edge; length
ellipse conic section
end point line segment
equilateral triangle triangle (shape); regular polygon
explementary angles adjacent angles; turn
extended side edge
exterior angle, external angle extended side
exterior angle theorem exterior angle; round angle
extreme and mean ratio, golden ratio, golden mean, golden section
focus point; curve
half-open line segment line segment
heptagram, septagram, septegram, septogram regular star polygon
hexagon polygon
hyperbola conic section
interior angle, internal angle simple polygon
intersection geometric object; parallel lines
inverse Pythagoras' theorem, inverse Pythagorean theorem hypotenuse; foot
kite, deltoids quadrilateral
length distance
line locus
line segment line
line–line intersection intersection
locus [pl:loci] set <mathematical logic>; point
major arc semicircle
manifold Euclidean space; topological space <topology>
midpoint line segment
minor arc semicircle
mirror image shape
obtuse angle right triangle
obtuse triangle obtuse angle
open line segment line segment
opposite angles, vertical angles intersection; angle
parabola conic section
parallelism
parallel lines parallelism; line
pentagon polygon
pentagram regular star polygon
perimeter shape; arc length
perpendicular bisector perpendicularity; bisection
perpendicularity right angle
plane line
plane curve curve; plane
point
polygon shape; line segment
polygonal chain, polygonal curve, polygonal path, polyline line segment
position vector, location vector, radius vector Euclidean vector
power of a point circle
quadrant Cartesian coordinate system; domain <mathematical analysis>
quadrilateral, quadrangle, tetragon edge; vertex
radius circle; perimeter
ray, half-line line
rectangle quadrilateral; right angle
reflection Euclidean space; isometry; hyperplane; fixed point <algebra>
reflection symmetry, line symmetry, mirror symmetry symmetry; reflection
regular pentagon pentagon; regular polygon
regular polygon polygon
regular star polygon star polygon; regular polygon
right angle angle
right kite kite; right angle
right trapezoid trapezoid; right angle
right triangle, orthogonal triangle triangle (shape); right angle
rhombus, equilateral quadrilateral, diamond, lozenge quadrilateral
ruler, rule
segment bisector line segment; bisection
shape, figure
similar similarity
similarity shape; reflection symmetry
simple polygon polygon; intersection
square quadrilateral; regular polygon
star polygon concave polygon
straight angle angle
sum of angles angle
supplementary angles adjacent angles; straight angle
surface plane
symmetry
trapezoid convex polygon; parallel lines
triangle (shape) edge; vertex
triangle (tool) triangle (shape)
turn, cycle, revolution, complete rotation
two-dimensional space, 2D space point
vector
vertex point; line
circle defined by a triangle
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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
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
geometric transformation bijection <mathematical logic>
displacement
translation geometric transformation; displacement

Trigonometry[edit | edit source]

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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
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
inverse hyperbolic function
inverse hyperbolic cosecant exponential function
inverse hyperbolic cosine exponential function
inverse hyperbolic cotangent exponential function
inverse hyperbolic secant exponential function
inverse hyperbolic sine exponential function
inverse hyperbolic tangent exponential function
inverse trigonometric function
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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
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
hyperbolic function
hyperbolic cosecant exponential function
hyperbolic cosine exponential function
hyperbolic cotangent exponential function
hyperbolic secant exponential function
hyperbolic sine exponential function
hyperbolic tangent exponential function
trigonometric function
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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
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
combinatorial principle
bijective proof
double counting, counting in two ways
inclusion–exclusion principle union <mathematical logic>; intersection <mathematical logic>; cardinality <mathematical logic>
method of distinguished element
pigeonhole principle
rule of division
rule of product, multiplication principle
rule of sum, addition principle

Graph Theory[edit | edit source]

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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]

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Differential Geometry[edit | edit source]

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Riemannian Geometry[edit | edit source]

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Symplectic Geometry[edit | edit source]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

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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Other Lessons[edit | edit source]

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