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

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[[Category:Sci-Tech_Index]]
{{Sci-Tech-Index-Intro}}
This is a part of the Sci-Tech Index, a project for science and technology learners.


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


== Euclidean geometry ==
== Euclidean Geometry ==
=== plane geometry ===
=== Plane Geometry ===
{| class="wikitable"
{| 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! 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
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| acute angle || angle (geometry)
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 229: Line 231:
|  ||  
|  ||  
|-
|-
| acute trapezoid || trapezoid, acute angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 238: Line 240:
|  ||  
|  ||  
|-
|-
| acute triangle || acute angle, triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute trapezoid || trapezoid; acute angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 247: Line 249:
|  ||  
|  ||  
|-
|-
| angle (geometry) || line (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| acute triangle || acute angle; triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 256: Line 258:
|  ||  
|  ||  
|-
|-
| apex (geometry) || vertex (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| adjacent angles || angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 265: Line 267:
|  ||  
|  ||  
|-
|-
| area (geometry) || two-dimensional space, plane
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| altitude || perpendicularity; base (polygon)
|  ||  
|  ||  
|  ||  
|  ||  
Line 274: Line 276:
|  ||  
|  ||  
|-
|-
| arc length || curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| angle || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 283: Line 285:
|  ||  
|  ||  
|-
|-
| base (polygon) || edge (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| angle bisector || angle; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 292: Line 294:
|  ||  
|  ||  
|-
|-
| center (geometry) ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| annulus [pl:annuli] || concentric circles
|  ||  
|  ||  
|  ||  
|  ||  
Line 301: Line 303:
|  ||  
|  ||  
|-
|-
| circle || center (geometry), distance (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| apex || vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 310: Line 312:
|  ||  
|  ||  
|-
|-
| circumference || perimeter, circle, ellipse (geometry)
| 圆周率 ||  
| ||  
| yuánzhōu lǜ ||  
| ||  
| Kreiszahl [f], Pi [n] ||  
| ||  
| Archimedes' constant, pi || circumstance; diameter
|  ||  
|  ||  
|  ||  
|  ||  
Line 319: Line 321:
|  ||  
|  ||  
|-
|-
| closed line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| aspect ratio || ratio <number theory>
|  ||  
|  ||  
|  ||  
|  ||  
Line 328: Line 330:
|  ||  
|  ||  
|-
|-
| congruent || shape (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| area || two-dimensional space; plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 337: Line 339:
|  ||  
|  ||  
|-
|-
| conic section || curve, plane (geometry), cone (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arc length || curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 346: Line 348:
|  ||  
|  ||  
|-
|-
| coordinate || coordinate system, position, point
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| auxiliary angle || straight angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 355: Line 357:
|  ||  
|  ||  
|-
|-
| concave polygon || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| auxiliary line || mathematical proof <mathematical logic>; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 364: Line 366:
|  ||  
|  ||  
|-
|-
| cone (geometry) || shape (geometry), three-dimensional space, apex (geometry), base (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| base (polygon) || edge
|  ||  
|  ||  
|  ||  
|  ||  
Line 373: Line 375:
|  ||  
|  ||  
|-
|-
| coordinate system ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| bisection ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 382: Line 384:
|  ||  
|  ||  
|-
|-
| curve ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Cavalieri's principle || plane; parallel lines; intersection; line segment; area
|  ||  
|  ||  
|  ||  
|  ||  
Line 391: Line 393:
|  ||  
|  ||  
|-
|-
| diameter || circle, end point (geometry), center (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| center ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 400: Line 402:
|  ||  
|  ||  
|-
|-
| edge (geometry) || line segment, vertex (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| centroid || shape; midpoint
|  ||  
|  ||  
|  ||  
|  ||  
Line 409: Line 411:
|  ||  
|  ||  
|-
|-
| end point (geometry) || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| chord || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 418: Line 420:
|  ||  
|  ||  
|-
|-
| equilateral triangle || triangle, regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circle || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 427: Line 429:
|  ||  
|  ||  
|-
|-
| Euclidean space || three-dimensional space
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circular sector || disk; radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 436: Line 438:
|  ||  
|  ||  
|-
|-
| extended side || edge (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumcenter || circumcircle; center
|  ||  
|  ||  
|  ||  
|  ||  
Line 445: Line 447:
|  ||  
|  ||  
|-
|-
| exterior angle, external angle || extended side
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumference || perimeter; circle; ellipse
|  ||  
|  ||  
|  ||  
|  ||  
Line 454: Line 456:
|  ||  
|  ||  
|-
|-
| focus || point (geometry), curve
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| circumradius || circumcircle; radius
|  ||  
|  ||  
|  ||  
|  ||  
Line 463: Line 465:
|  ||  
|  ||  
|-
|-
| half-open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| closed line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 472: Line 474:
|  ||  
|  ||  
|-
|-
| heptagram, septagram, septegram, septogram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| complementary angles || adjacent angles; right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 481: Line 483:
|  ||  
|  ||  
|-
|-
| hexagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| congruent || shape
|  ||  
|  ||  
|  ||  
|  ||  
Line 490: Line 492:
|  ||  
|  ||  
|-
|-
| interior angle, internal angle || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| conic section || cone; plane; locus; focus; directrix
|  ||  
|  ||  
|  ||  
|  ||  
Line 499: Line 501:
|  ||  
|  ||  
|-
|-
| kite (geometry), deltoids || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concave polygon || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 508: Line 510:
|  ||  
|  ||  
|-
|-
| length || distance
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concentric circles || circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 517: Line 519:
|  ||  
|  ||  
|-
|-
| line (geometry) || point (geometry), infinity <arithmetic>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| concyclic, cocyclic || point; circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 526: Line 528:
|  ||  
|  ||  
|-
|-
| line segment || line (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| coordinate system ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 535: Line 537:
|  ||  
|  ||  
|-
|-
| manifold || Euclidean space, topological space <topology>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| curve ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 544: Line 546:
|  ||  
|  ||  
|-
|-
| mirror image || shape (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| diameter || circle; end point; center
|  ||  
|  ||  
|  ||  
|  ||  
Line 553: Line 555:
|  ||  
|  ||  
|-
|-
| obtuse angle || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| disk || plane; circle
|  ||  
|  ||  
|  ||  
|  ||  
Line 562: Line 564:
|  ||  
|  ||  
|-
|-
| obtuse triangle || obtuse angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| eccentricity || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 571: Line 573:
|  ||  
|  ||  
|-
|-
| open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge || line segment; vertex
|  ||  
|  ||  
|  ||  
|  ||  
Line 580: Line 582:
|  ||  
|  ||  
|-
|-
| parallel (geometry) || line (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| edge length || edge; length
|  ||  
|  ||  
|  ||  
|  ||  
Line 589: Line 591:
|  ||  
|  ||  
|-
|-
| pentagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| ellipse || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 598: Line 600:
|  ||  
|  ||  
|-
|-
| pentagram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| end point || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 607: Line 609:
|  ||  
|  ||  
|-
|-
| perimeter || shape (geometry), arc length
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| equilateral triangle || triangle (shape); regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 616: Line 618:
|  ||  
|  ||  
|-
|-
| plane (geometry) || line (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| explementary angles || adjacent angles; turn
|  ||  
|  ||  
|  ||  
|  ||  
Line 625: Line 627:
|  ||  
|  ||  
|-
|-
| plane curve || curve, plane (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extended side || edge
|  ||  
|  ||  
|  ||  
|  ||  
Line 634: Line 636:
|  ||  
|  ||  
|-
|-
| point (geometry) ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exterior angle, external angle || extended side
|  ||  
|  ||  
|  ||  
|  ||  
Line 643: Line 645:
|  ||  
|  ||  
|-
|-
| polygon || shape, line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| exterior angle theorem || exterior angle; round angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 652: Line 654:
|  ||  
|  ||  
|-
|-
| polygonal chain, polygonal curve, polygonal path, polyline || line segment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| extreme and mean ratio, golden ratio, golden mean, golden section ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 661: Line 663:
|  ||  
|  ||  
|-
|-
| position (geometry), position vector, location vector || Euclidean vector
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| focus || point; curve
|  ||  
|  ||  
|  ||  
|  ||  
Line 670: Line 672:
|  ||  
|  ||  
|-
|-
| quadrilateral, quadrangle, tetragon || edge (geometry), vertex (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| half-open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 679: Line 681:
|  ||  
|  ||  
|-
|-
| radius || circle, perimeter
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| heptagram, septagram, septegram, septogram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 688: Line 690:
|  ||  
|  ||  
|-
|-
| ray (geometry), half-line || line (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hexagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 697: Line 699:
|  ||  
|  ||  
|-
|-
| rectangle || quadrilateral, right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| hyperbola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 706: Line 708:
|  ||  
|  ||  
|-
|-
| regular pentagon || pentagon, regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| interior angle, internal angle || simple polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 715: Line 717:
|  ||  
|  ||  
|-
|-
| regular polygon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| intersection || geometric object; parallel lines
|  ||  
|  ||  
|  ||  
|  ||  
Line 724: Line 726:
|  ||  
|  ||  
|-
|-
| regular star polygon || star polygon, regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| inverse Pythagoras' theorem, inverse Pythagorean theorem || hypotenuse; foot
|  ||  
|  ||  
|  ||  
|  ||  
Line 733: Line 735:
|  ||  
|  ||  
|-
|-
| right angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| kite, deltoids || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
Line 742: Line 744:
|  ||  
|  ||  
|-
|-
| right kite || kite (geometry), right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| length || distance
|  ||  
|  ||  
|  ||  
|  ||  
Line 751: Line 753:
|  ||  
|  ||  
|-
|-
| right trapezoid || trapezoid, right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line || locus
|  ||  
|  ||  
|  ||  
|  ||  
Line 760: Line 762:
|  ||  
|  ||  
|-
|-
| right triangle, orthogonal triangle || triangle (shape), right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line segment || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 769: Line 771:
|  ||  
|  ||  
|-
|-
| rhombus, equilateral quadrilateral, diamond, lozenge || quadrilateral
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| line–line intersection || intersection
|  ||  
|  ||  
|  ||  
|  ||  
Line 778: Line 780:
|  ||  
|  ||  
|-
|-
| ruler, rule ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| locus [pl:loci] || set <mathematical logic>; point
|  ||  
|  ||  
|  ||  
|  ||  
Line 787: Line 789:
|  ||  
|  ||  
|-
|-
| shape, figure ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| major arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
Line 796: Line 798:
|  ||  
|  ||  
|-
|-
| simple polygon || polygon, intersection (Euclidean geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| manifold || Euclidean space; topological space <topology>
|  ||  
|  ||  
|  ||  
|  ||  
Line 805: Line 807:
|  ||  
|  ||  
|-
|-
| square || quadrilateral, regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| midpoint || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 814: Line 816:
|  ||  
|  ||  
|-
|-
| star polygon || concave polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| minor arc || semicircle
|  ||  
|  ||  
|  ||  
|  ||  
Line 823: Line 825:
|  ||  
|  ||  
|-
|-
| surface (geometry) || plane (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| mirror image || shape
|  ||  
|  ||  
|  ||  
|  ||  
Line 832: Line 834:
|  ||  
|  ||  
|-
|-
| three-dimensional space, 3D space ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| obtuse angle || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
Line 841: Line 843:
|  ||  
|  ||  
|-
|-
| trapezoid || convex polygon, parallel (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| obtuse triangle || obtuse angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 850: Line 852:
|  ||  
|  ||  
|-
|-
| triangle (shape) || edge (geometry), vertex (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| open line segment || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 859: Line 861:
|  ||  
|  ||  
|-
|-
| triangle (tool) || triangle (shape)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| opposite angles, vertical angles || intersection; angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 868: Line 870:
|  ||  
|  ||  
|-
|-
| turn (geometry), cycle, revolution, complete rotation ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parabola || conic section
|  ||  
|  ||  
|  ||  
|  ||  
Line 877: Line 879:
|  ||  
|  ||  
|-
|-
| two-dimensional space, 2D space || point (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parallelism ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 886: Line 888:
|  ||  
|  ||  
|-
|-
| vector (geometry) ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| parallel lines || parallelism; line
|  ||  
|  ||  
|  ||  
|  ||  
Line 895: Line 897:
|  ||  
|  ||  
|-
|-
| vertex (geometry) || point (geometry), line (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| pentagon || polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
==== trigonometry ====
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| cosecant || hypotenuse, opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| pentagram || regular star polygon
|  ||  
|  ||  
|  ||  
|  ||  
Line 925: Line 915:
|  ||  
|  ||  
|-
|-
| cosine || adjacent leg, hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perimeter || shape; arc length
|  ||  
|  ||  
|  ||  
|  ||  
Line 934: Line 924:
|  ||  
|  ||  
|-
|-
| cotangent || adjacent leg, opposite leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perpendicular bisector || perpendicularity; bisection
|  ||  
|  ||  
|  ||  
|  ||  
Line 943: Line 933:
|  ||  
|  ||  
|-
|-
| hypotenuse || right triangle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| perpendicularity || right angle
|  ||  
|  ||  
|  ||  
|  ||  
Line 952: Line 942:
|  ||  
|  ||  
|-
|-
| inverse trigonometric functions || trigonometric functions
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| plane || line
|  ||  
|  ||  
|  ||  
|  ||  
Line 961: Line 951:
|  ||  
|  ||  
|-
|-
| law of sines, sine law, sine formula, sine rule || sine
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| plane curve || curve; plane
|  ||  
|  ||  
|  ||  
|  ||  
Line 970: Line 960:
|  ||  
|  ||  
|-
|-
| secant || hypotenuse, adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| point ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 979: Line 969:
|  ||  
|  ||  
|-
|-
| sine || opposite leg, hypotenuse
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polygon || shape; line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 988: Line 978:
|  ||  
|  ||  
|-
|-
| tangent || opposite leg, adjacent leg
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| polygonal chain, polygonal curve, polygonal path, polyline || line segment
|  ||  
|  ||  
|  ||  
|  ||  
Line 997: Line 987:
|  ||  
|  ||  
|-
|-
| trigonometric functions, circular functions ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| position vector, location vector, radius vector || Euclidean vector
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,006: Line 996:
|  ||  
|  ||  
|-
|-
| unit circle || radius
|  ||  
|  ||  
|  ||
|  ||
| power of a point || circle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| quadrant || Cartesian coordinate system; domain <mathematical analysis>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== discrete and combinatorial geometry ===
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| quadrilateral, quadrangle, tetragon || edge; vertex
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
=== solid geometry ===
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| face (geometry) || surface (geometry)
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| radius || circle; perimeter
|  ||  
|  ||  
|  ||  
|  ||  
Line 1,060: Line 1,035:
|  ||  
|  ||  
|  ||  
|  ||  
| ray, half-line || line
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
=== convex geometry ===
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| rectangle || quadrilateral; right angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
== non-Euclidean geometry ==
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| reflection || Euclidean space; isometry; hyperplane; fixed point <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
=== elliptic geometry ===
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| reflection symmetry, line symmetry, mirror symmetry || symmetry; reflection
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||
|}
=== hyperbolic geometry ===
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| regular pentagon || pentagon; regular polygon
|  ||  
|  ||  
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| regular polygon || polygon
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| regular star polygon || star polygon; regular polygon
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
=== spherical geometry ===
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
|  ||
|  ||
| right angle || angle
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|-
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|}
| right kite || kite; right angle
 
|  ||
=== affine geometry ===
|  ||
{| class="wikitable"
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| 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
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| 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
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
|-
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
|  ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|  ||
|  ||
| circle defined by a triangle || circle; triangle
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| circumscribed circle, circumcircle || circle defined by a triangle
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| Fuhrmann circle || circle defined by a triangle; diameter; Nagel point; orthocenter
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| Malfatti circles || circle defined by a triangle; tangent circle
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| orthocentroidal circle || circle defined by a triangle; equilateral triangle; orthocenter; centroid; diameter
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| polar circle || circle defined by a triangle; orthocenter
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| seven-point circle, Brocard circle || circle defined by a triangle; circumcenter; symmedian point
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ geometric transformation
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
| geometric transformation || bijection <mathematical logic>
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| displacement ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| translation || geometric transformation; displacement
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
==== 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| 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
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ inverse hyperbolic function
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
| inverse hyperbolic function ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| 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
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
 
{| class="wikitable sortable"
|+ inverse trigonometric function
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
| inverse trigonometric function ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|  ||
|  ||
|  ||
| 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>
|  ||
|  ||
|  ||
|  ||
|-
|-
|  ||  
|  ||  
Line 1,193: Line 3,566:
|}
|}


=== projective geometry ===
== Complex Geometry ==
{| class="wikitable"
{| 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]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
=== differential geometry ===
{| class="wikitable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! 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
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
Line 1,233: Line 3,585:
|  ||  
|  ||  
|  ||  
|  ||  
|}
==== Riemannian geometry ====
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
Line 1,256: Line 3,596:
|}
|}


==== symplectic geometry ====
== Synthetic Geometry ==
{| class="wikitable"
{| 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]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
== algebraic geometry ==
{| class="wikitable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! 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
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
Line 1,296: Line 3,615:
|  ||  
|  ||  
|  ||  
|  ||  
|}
== analytic geometry / coordinate geometry ==
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
Line 1,319: Line 3,626:
|}
|}


== complex geometry ==
== Finite Geometry ==
{| class="wikitable"
{| 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]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|}
== synthetic geometry ==
{| class="wikitable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! 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
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
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== finite geometry ==
{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
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[[File:549px-Thales'_Theorem.svg.png]]
<center>
https://upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Thales%27_Theorem.svg/274px-Thales%27_Theorem.svg.png
</center>


== * Related Free Educational Resources ==
{{Sci-Tech-Index-Menu}}
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! link
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== <div style="color:#ffad00; font-weight:bold;">-- AUTHOR --</div> ==
==Other Lessons==
[https://polyglotclub.com/member/GrimPixel GrimPixel]
* [[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
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
circle defined by a triangle circle; triangle
circumscribed circle, circumcircle circle defined by a triangle
Fuhrmann circle circle defined by a triangle; diameter; Nagel point; orthocenter
Malfatti circles circle defined by a triangle; tangent circle
orthocentroidal circle circle defined by a triangle; equilateral triangle; orthocenter; centroid; diameter
polar circle circle defined by a triangle; orthocenter
seven-point circle, Brocard circle circle defined by a triangle; circumcenter; symmedian point
geometric transformation
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
geometric transformation bijection <mathematical logic>
displacement
translation geometric transformation; displacement

Trigonometry[edit | edit source]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
adjacent leg right triangle
central line triangle
Heron's formula area; triangle (shape)
hypotenuse right triangle
incircle, inscribed circle triangle (shape); circle
Kepler triangle right triangle; extreme and mean ratio
law of cosines cosine
law of cotangents cotangent
law of sines sine
law of tangents tangent
median triangle (shape); midpoint
Mollweide's formula hypotenuse; sine; cosine
Nagel point triangle center
nine-point circle triangle (shape); circle; midpoint; foot; altitude
opposite leg right triangle
oval plane; curve
Pythagoras' theorem, Pythagorean theorem hypotenuse
round angle angle
scale ratio <number theory>
secant angle; hypotenuse; adjacent leg
semicircle circle
unit circle radius
inverse hyperbolic function
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
inverse hyperbolic function
inverse hyperbolic cosecant exponential function
inverse hyperbolic cosine exponential function
inverse hyperbolic cotangent exponential function
inverse hyperbolic secant exponential function
inverse hyperbolic sine exponential function
inverse hyperbolic tangent exponential function
inverse trigonometric function
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
inverse trigonometric function
arccosecant angle; hypotenuse; opposite leg
arccosine angle; adjacent leg; hypotenuse
arccotangent angle; adjacent leg; opposite leg
arcsecant angle; hypotenuse; adjacent leg
arcsine angle; opposite leg; hypotenuse
arctangent angle; opposite leg; adjacent leg
hyperbolic function
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
hyperbolic function
hyperbolic cosecant exponential function
hyperbolic cosine exponential function
hyperbolic cotangent exponential function
hyperbolic secant exponential function
hyperbolic sine exponential function
hyperbolic tangent exponential function
trigonometric function
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
trigonometric functions, circular functions sine; cosine; tangent; cotangent; secant; cosecant
atan2 tangent
cosecant angle; hypotenuse; opposite leg
cosine angle; adjacent leg; hypotenuse
cotangent angle; adjacent leg; opposite leg
coversine, coversed sine sine
excircle, escribed circle triangle (shape); circle
exsecant secant
excosecant cosecant
haversine, haversed sine cosine
hacoversine, hacoversed sine sine
sine angle; opposite leg; hypotenuse
tangent angle; opposite leg; adjacent leg
versine, versed sine cosine

Discrete and Combinatorial Geometry[edit | edit source]

Combinatorics[edit | edit source]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
circular shift tuple
combination set <mathematical logic>
factorial integer <number theory>; non-negative number <number theory>; product <number theory>
permutation set <mathematical logic>; sequence <number theory>
combinatorial principle
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
combinatorial principle
bijective proof
double counting, counting in two ways
inclusion–exclusion principle union <mathematical logic>; intersection <mathematical logic>; cardinality <mathematical logic>
method of distinguished element
pigeonhole principle
rule of division
rule of product, multiplication principle
rule of sum, addition principle

Graph Theory[edit | edit source]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
automorphism graph; symmetry <geometry>
complete graph undirected graph
cycle trail
directed cycle directed trail
directed graph, digraph graph
edge vertex
edge-labeled graph edge labeling
edge labeling graph labeling
endpoint undirected graph
graph set <mathematical logic>; object <mathematical logic>; edge
graph labeling graph
induced subgraph subgraph
loop edge
multigraph multiple edges
multiple edges, parallel edges endpoint; tail vertex; head vertex
path trail
star (graph theory) complete bipartite graph; tree
subgraph graph; subset <mathematical logic>
supergraph graph; superset <mathematical logic>
tour trail
trail walk
transpose graph directed graph
undirected graph graph
universal vertex, dominating vertex undirected graph; dominating set
vertex [pl:vertices], node
vertex labeling graph labeling
vertex-labeled graph vertex labeling
walk sequence <number theory>; edge
weight subgraph
perfect graph
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
perfect graph
theorem in graph theory
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
theorem in graph theory

Order Theory[edit | edit source]

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

Game Theory[edit | edit source]

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

Solid Geometry[edit | edit source]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
apex vertex
base (polygon) face
Cavalieri's principle parallelism; cross section; volume
cone shape; three-dimensional space; apex; base (polygon)
cross section intersection <mathematical logic>; three-dimensional space; plane
cuboid polyhedron; quadrilateral
cylinder circle; base (polygon); prism
face surface
facet three-dimensional space; polyhedron; polytope
field of view
octant quadrant
orthant octant
parallel planes parallelism
polyhedron polygon; face
polytope polygon; polyhedron
prism polyhedron; parallelogram; translation
pyramid polyhedron
solid angle field of view; point; angle; three-dimensional space
three-dimensional space, 3D space
graphical projection
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
graphical projection
axonometric projection orthographic projection
curvilinear perspective perspective projection
isometric projection axonometric projection
oblique projection parallel projection
orthographic projection, orthogonal projection parallel projection; orthogonality
parallel projection, axonometric projection graphical projection
perspective projection graphical projection
reverse perspective perspective projection

Convex Geometry[edit | edit source]

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

Non-Euclidean Geometry[edit | edit source]

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

Elliptic Geometry[edit | edit source]

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

Hyperbolic Geometry[edit | edit source]

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

Spherical Geometry[edit | edit source]

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

Affine Geometry[edit | edit source]

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

Projective Geometry[edit | edit source]

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

Differential Geometry[edit | edit source]

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

Riemannian Geometry[edit | edit source]

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

Symplectic Geometry[edit | edit source]

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

Algebraic Geometry[edit | edit source]

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

Analytic Geometry[edit | edit source]

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
abscissa two-dimensional space; graph
Cartesian coordinate system cuboid; coordinate system
coordinate position
cylindrical coordinate system cylinder; coordinate system
displacement Euclidean vector; motion <mechanics>
Euclidean distance Euclidean space; line segment
Euclidean space three-dimensional space
Euclidean vector magnitude <number theory>; orientation
line–plane intersection intersection; line; plane
line–sphere intersection intersection; line; sphere
ordinate two-dimensional space; graph
position, position vector, location vector Euclidean vector
spherical coordinate system sphere; coordinate system
three-dimensional space
transformation bijection <mathematical logic>

Complex Geometry[edit | edit source]

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

Synthetic Geometry[edit | edit source]

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

Finite Geometry[edit | edit source]

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

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