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

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| acute trapezoid || trapezoid, acute angle
| acute trapezoid || trapezoid; acute angle
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| acute triangle || acute angle, triangle
| acute triangle || acute angle; triangle
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| area (geometry) || two-dimensional space, plane
| area (geometry) || two-dimensional space; plane
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| centroid || shape, midpoint
| centroid || shape; midpoint
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| circle || center (geometry), distance (geometry)
| circle || center (geometry); distance (geometry)
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| circumcenter || circumcircle, center (geometry)
| circumcenter || circumcircle; center (geometry)
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| circumcircle, circumscribed circle || vertex, circle
| circumcircle, circumscribed circle || vertex; circle
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| circumference || perimeter, circle, ellipse (geometry)
| circumference || perimeter; circle; ellipse (geometry)
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| circumradius || circumcircle, radius
| circumradius || circumcircle; radius
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| conic section || curve, plane (geometry), cone (geometry)
| conic section || curve; plane (geometry); cone (geometry)
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| coordinate || coordinate system, position, point
| coordinate || coordinate system; position; point (geometry)
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| concyclic, cocyclic || point (geometry), circle
| concyclic, cocyclic || point (geometry); circle
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| diameter || circle, end point (geometry), center (geometry)
| diameter || circle; end point (geometry); center (geometry)
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| edge (geometry) || line segment, vertex (geometry)
| edge (geometry) || line segment; vertex (geometry)
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| ellipse || plane curve, focus (geometry)
| ellipse || plane curve; focus (geometry)
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| equilateral triangle || triangle (shape), regular polygon
| equilateral triangle || triangle (shape); regular polygon
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| focus || point (geometry), curve
| focus || point (geometry); curve
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| hyperbola || plane curve, conic section
| hyperbola || plane curve; conic section
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| inverse Pythagorean theorem, inverse Pythagoras' theorem || hypotenuse, foot (geometry)
| inverse Pythagorean theorem, inverse Pythagoras' theorem || hypotenuse; foot (geometry)
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| line (geometry) || point (geometry), infinity <arithmetic>
| line (geometry) || point (geometry); infinity <arithmetic>
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| manifold || Euclidean space, topological space <topology>
| manifold || Euclidean space; topological space <topology>
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| parabola || plane curve, reflection symmetry
| parabola || plane curve; reflection symmetry
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| perimeter || shape, arc length
| perimeter || shape; arc length
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| pi, Archimedes' constant || circumstance, diameter
| pi, Archimedes' constant || circumstance; diameter
| 圆周率 ||  
| 圆周率 ||  
| yuánzhōu lǜ ||  
| yuánzhōu lǜ ||  
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| plane curve || curve, plane (geometry)
| plane curve || curve; plane (geometry)
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| polygon || shape, line segment
| polygon || shape; line segment
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| quadrilateral, quadrangle, tetragon || edge (geometry), vertex (geometry)
| quadrilateral, quadrangle, tetragon || edge (geometry); vertex (geometry)
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| radius || circle, perimeter
| radius || circle; perimeter
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| rectangle || quadrilateral, right angle
| rectangle || quadrilateral; right angle
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| reflection (geometry) || Euclidean space, isometry, hyperplane, fixed point (algebra) <algebra>
| reflection (geometry) || Euclidean space; isometry; hyperplane; fixed point (algebra) <algebra>
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| reflection symmetry, line symmetry, mirror symmetry || symmetry, reflection (geometry)
| reflection symmetry, line symmetry, mirror symmetry || symmetry; reflection (geometry)
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| regular pentagon || pentagon, regular polygon
| regular pentagon || pentagon; regular polygon
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| regular star polygon || star polygon, regular polygon
| regular star polygon || star polygon; regular polygon
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| right kite || kite (geometry), right angle
| right kite || kite (geometry); right angle
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| right trapezoid || trapezoid, right angle
| right trapezoid || trapezoid; right angle
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| right triangle, orthogonal triangle || triangle (shape), right angle
| right triangle, orthogonal triangle || triangle (shape); right angle
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| similarity (geometry) || shape, reflection symmetry
| similarity (geometry) || shape; reflection symmetry
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| simple polygon || polygon, intersection (Euclidean geometry)
| simple polygon || polygon; intersection (Euclidean geometry)
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| square || quadrilateral, regular polygon
| square || quadrilateral; regular polygon
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| trapezoid || convex polygon, parallel (geometry)
| trapezoid || convex polygon; parallel (geometry)
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| triangle (shape) || edge (geometry), vertex (geometry)
| triangle (shape) || edge (geometry); vertex (geometry)
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Line 1,053: Line 1,053:
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| vertex (geometry) || point (geometry), line (geometry)
| vertex (geometry) || point (geometry); line (geometry)
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Line 1,083: Line 1,083:
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| altitude (trigonometry) || triangle (shape), perpendicular, base (polygon)
| altitude (trigonometry) || triangle (shape); perpendicular; base (polygon)
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Line 1,092: Line 1,092:
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| arccosecant || angle, hypotenuse, opposite leg
| arccosecant || angle, hypotenuse; opposite leg
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| arccosine || angle, adjacent leg, hypotenuse
| arccosine || angle; adjacent leg; hypotenuse
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Line 1,110: Line 1,110:
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| arccotangent || angle, adjacent leg, opposite leg
| arccotangent || angle; adjacent leg; opposite leg
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Line 1,119: Line 1,119:
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| arcsecant || angle, hypotenuse, adjacent leg
| arcsecant || angle; hypotenuse; adjacent leg
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Line 1,128: Line 1,128:
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| arcsine || angle, opposite leg, hypotenuse
| arcsine || angle; opposite leg; hypotenuse
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Line 1,137: Line 1,137:
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| arctangent || angle, opposite leg, adjacent leg
| arctangent || angle; opposite leg; adjacent leg
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Line 1,146: Line 1,146:
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| cosecant || angle, hypotenuse, opposite leg
| cosecant || angle; hypotenuse; opposite leg
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Line 1,155: Line 1,155:
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| cosine || angle, adjacent leg, hypotenuse
| cosine || angle; adjacent leg; hypotenuse
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Line 1,164: Line 1,164:
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| cotangent || angle, adjacent leg, opposite leg
| cotangent || angle; adjacent leg; opposite leg
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Line 1,173: Line 1,173:
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| excircle, escribed circle || triangle (shape), circle
| excircle, escribed circle || triangle (shape); circle
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Line 1,182: Line 1,182:
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| Heron's formula || area (geometry), triangle (shape)
| Heron's formula || area (geometry); triangle (shape)
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Line 1,200: Line 1,200:
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| incircle, inscribed circle || triangle (shape), circle
| incircle, inscribed circle || triangle (shape); circle
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Line 1,209: Line 1,209:
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| inverse trigonometric functions || arcsine, arccosine, arctangent, arccotangent, arcsecant, arccosecant
| inverse trigonometric functions || arcsine; arccosine; arctangent; arccotangent; arcsecant; arccosecant
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Line 1,218: Line 1,218:
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| Kepler triangle || right triangle, extreme and mean ratio
| Kepler triangle || right triangle; extreme and mean ratio
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Line 1,263: Line 1,263:
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| Mollweide's formula || hypotenuse, sine, cosine
| Mollweide's formula || hypotenuse; sine; cosine
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Line 1,281: Line 1,281:
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| nine-point circle || triangle (shape), circle, midpoint, foot (geometry), altitude (geometry)
| nine-point circle || triangle (shape); circle, midpoint; foot (geometry); altitude (geometry)
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Line 1,308: Line 1,308:
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| secant || angle, hypotenuse, adjacent leg
| secant || angle; hypotenuse; adjacent leg
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Line 1,317: Line 1,317:
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|-
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| sine || angle, opposite leg, hypotenuse
| sine || angle; opposite leg; hypotenuse
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Line 1,326: Line 1,326:
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| tangent || angle, opposite leg, adjacent leg
| tangent || angle; opposite leg; adjacent leg
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Line 1,335: Line 1,335:
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|-
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| trigonometric functions, circular functions || sine, cosine, tangent, cotangent, secant, cosecant
| trigonometric functions, circular functions || sine; cosine; tangent; cotangent; secant; cosecant
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| cone (geometry) || shape (geometry), three-dimensional space, apex (geometry), base (geometry)
| cone (geometry) || shape (geometry); three-dimensional space; apex (geometry); base (geometry)
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| cuboid || polyhedron, polyhedral graph, quadrilateral
| cuboid || polyhedron; polyhedral graph; quadrilateral
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Line 1,422: Line 1,422:
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| cylinder || circle, base (polyhedron), prism
| cylinder || circle; base (polyhedron); prism
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Line 1,440: Line 1,440:
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| facet (geometry) || three-dimensional space, polyhedron, polytope
| facet (geometry) || three-dimensional space; polyhedron; polytope
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Line 1,458: Line 1,458:
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| polyhedron || polygon, face (geometry)
| polyhedron || polygon; face (geometry)
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Line 1,467: Line 1,467:
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| polytope || polygon, polyhedron
| polytope || polygon; polyhedron
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Line 1,476: Line 1,476:
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| prism (geometry) || polyhedron, parallelogram, translation (geometry)
| prism (geometry) || polyhedron; parallelogram; translation (geometry)
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Line 1,485: Line 1,485:
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| solid angle || field of view, point, angle (geometry), three-dimensional space
| solid angle || field of view; point; angle (geometry); three-dimensional space
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Revision as of 14:55, 15 October 2021

This is a part of the Sci–Tech Index, a project for science and technology learners.

In progress.

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

plane geometry

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acute angle angle (geometry)
acute trapezoid trapezoid; acute angle
acute triangle acute angle; triangle
angle (geometry) line (geometry)
apex (geometry) vertex (geometry)
area (geometry) two-dimensional space; plane
arc length curve
base (polygon) edge (geometry)
center (geometry)
centroid shape; midpoint
circle center (geometry); distance (geometry)
circumcenter circumcircle; center (geometry)
circumcircle, circumscribed circle vertex; circle
circumference perimeter; circle; ellipse (geometry)
circumradius circumcircle; radius
closed line segment line segment
congruent shape
conic section curve; plane (geometry); cone (geometry)
coordinate coordinate system; position; point (geometry)
concave polygon simple polygon
concyclic, cocyclic point (geometry); circle
coordinate system
curve
diameter circle; end point (geometry); center (geometry)
edge (geometry) line segment; vertex (geometry)
ellipse plane curve; focus (geometry)
end point (geometry) line segment
equilateral triangle triangle (shape); regular polygon
Euclidean space three-dimensional space
extended side edge (geometry)
exterior angle, external angle extended side
extreme and mean ratio, golden ratio, golden mean, golden section
focus point (geometry); curve
half-open line segment line segment
heptagram, septagram, septegram, septogram regular star polygon
hexagon polygon
hyperbola plane curve; conic section
interior angle, internal angle simple polygon
inverse Pythagorean theorem, inverse Pythagoras' theorem hypotenuse; foot (geometry)
kite (geometry), deltoids quadrilateral
length distance
line (geometry) point (geometry); infinity <arithmetic>
line segment line (geometry)
manifold Euclidean space; topological space <topology>
midpoint line segment
mirror image shape
obtuse angle right triangle
obtuse triangle obtuse angle
open line segment line segment
parabola plane curve; reflection symmetry
parallel (geometry) line (geometry)
pentagon polygon
pentagram regular star polygon
perimeter shape; arc length
perpendicular perpendicularity
perpendicularity right angle
pi, Archimedes' constant circumstance; diameter 圆周率 yuánzhōu lǜ Pi [n], Kreiszahl [f]
plane (geometry) line (geometry)
plane curve curve; plane (geometry)
point (geometry)
polygon shape; line segment
polygonal chain, polygonal curve, polygonal path, polyline line segment
position (geometry), position vector, location vector Euclidean vector
quadrilateral, quadrangle, tetragon edge (geometry); vertex (geometry)
radius circle; perimeter
ray (geometry), half-line line (geometry)
rectangle quadrilateral; right angle
reflection (geometry) Euclidean space; isometry; hyperplane; fixed point (algebra) <algebra>
reflection symmetry, line symmetry, mirror symmetry symmetry; reflection (geometry)
regular pentagon pentagon; regular polygon
regular polygon polygon
regular star polygon star polygon; regular polygon
right angle angle
right kite kite (geometry); right angle
right trapezoid trapezoid; right angle
right triangle, orthogonal triangle triangle (shape); right angle
rhombus, equilateral quadrilateral, diamond, lozenge quadrilateral
ruler, rule
shape, figure
similar similarity (geometry)
similarity (geometry) shape; reflection symmetry
simple polygon polygon; intersection (Euclidean geometry)
square quadrilateral; regular polygon
star polygon concave polygon
surface (geometry) plane (geometry)
symmetry
three-dimensional space, 3D space
trapezoid convex polygon; parallel (geometry)
triangle (shape) edge (geometry); vertex (geometry)
triangle (tool) triangle (shape)
turn (geometry), cycle, revolution, complete rotation
two-dimensional space, 2D space point (geometry)
vector (geometry)
vertex (geometry) point (geometry); line (geometry)

trigonometry

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adjacent leg right triangle
altitude (trigonometry) triangle (shape); perpendicular; base (polygon)
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
cosecant angle; hypotenuse; opposite leg
cosine angle; adjacent leg; hypotenuse
cotangent angle; adjacent leg; opposite leg
excircle, escribed circle triangle (shape); circle
Heron's formula area (geometry); triangle (shape)
hypotenuse right triangle
incircle, inscribed circle triangle (shape); circle
inverse trigonometric functions arcsine; arccosine; arctangent; arccotangent; arcsecant; arccosecant
Kepler triangle right triangle; extreme and mean ratio
law of cosines cosine
law of cotangents cotangent
law of sines sine
law of tangents tangent
Mollweide's formula hypotenuse; sine; cosine
Nagel point triangle center
nine-point circle triangle (shape); circle, midpoint; foot (geometry); altitude (geometry)
opposite leg right triangle
Pythagorean theorem, Pythagoras' theorem hypotenuse
secant angle; hypotenuse; adjacent leg
sine angle; opposite leg; hypotenuse
tangent angle; opposite leg; adjacent leg
trigonometric functions, circular functions sine; cosine; tangent; cotangent; secant; cosecant
unit circle radius

discrete and combinatorial geometry

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solid geometry

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apex (geometry) vertex (geometry)
base (polyhedron) face (geometry)
cone (geometry) shape (geometry); three-dimensional space; apex (geometry); base (geometry)
cuboid polyhedron; polyhedral graph; quadrilateral
cylinder circle; base (polyhedron); prism
face (geometry) surface (geometry)
facet (geometry) three-dimensional space; polyhedron; polytope
field of view
polyhedron polygon; face (geometry)
polytope polygon; polyhedron
prism (geometry) polyhedron; parallelogram; translation (geometry)
solid angle field of view; point; angle (geometry); three-dimensional space

convex geometry

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non-Euclidean geometry

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elliptic geometry

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hyperbolic geometry

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spherical geometry

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affine geometry

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projective geometry

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differential geometry

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Riemannian geometry

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symplectic geometry

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algebraic geometry

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analytic geometry / coordinate geometry

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complex geometry

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synthetic geometry

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finite geometry

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549px-Thales' Theorem.svg.png

* Appendix *

Symbol

symbol eng-Latn-US: concept cmn-Hans-CN: 概念 cmn-Latn.Pinyin-CN: gàiniàn deu-Latn-DE: Begriff [m] fra-Latn-FR: concept [m] jpn-Hrkt-JP: がいねん jpn-Jpan-JP: 概念 rus-Cyrl-RU: конце́пция

Process

eng-Latn-US: process eng-Latn-US: constituent cmn-Hans-CN: 过程 cmn-Hans-CN: 构件 cmn-Latn.Pinyin-CN: guòchéng cmn-Latn.Pinyin-CN: gòujiàn deu-Latn-DE: Prozess [m] deu-Latn-DE: Bestandteil [m] fra-Latn-FR: procès [m] fra-Latn-FR: composant [m] jpn-Hrkt-JP: かてい jpn-Hrkt-JP: こうざい jpn-Jpan-JP: 過程 jpn-Jpan-JP: 構材 rus-Cyrl-RU: проце́сс rus-Cyrl-RU: соста́вная часть
Heron's formula area of a triangle, 3 edge lengths of a triangle
law of cosines 1 edge length of a triangle, 1 angle of a triangle, 2 edge lengths of a triangle
law of sines 1 pair of opposite angle and edge length of a triangle, 1 pair of opposite angle and edge length of a triangle

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