Difference between revisions of "Language/Multiple-languages/Vocabulary/Geometry"
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| 解析几何,坐标几何,卡氏几何 | | 解析几何,坐标几何,卡氏几何 | ||
| jiěxī jǐhé, zuòbiāo jǐhé, | | jiěxī jǐhé, zuòbiāo jǐhé, Kǎshì jǐhé | ||
| Analytische Geometrie, Vektorgeometrie | | Analytische Geometrie, Vektorgeometrie | ||
| analytic geometry, coordinate geometry, Cartesian geometry | | analytic geometry, coordinate geometry, Cartesian geometry | ||
Line 210: | Line 210: | ||
|} | |} | ||
== Euclidean Geometry == | |||
=== Plane Geometry === | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
Line 1,481: | Line 1,480: | ||
|} | |} | ||
==== Trigonometry ==== | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
Line 2,135: | Line 2,134: | ||
|} | |} | ||
=== Discrete and Combinatorial Geometry === | |||
==== Combinatorics ==== | |||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
Line 2,158: | Line 2,158: | ||
| || | | || | ||
| || | | || | ||
| circular shift || tuple | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | combination || set <mathematical logic> | ||
| || | | || | ||
| || | | || | ||
Line 2,188: | Line 2,176: | ||
| || | | || | ||
| || | | || | ||
| | | factorial || integer <number theory>; non-negative number <number theory>; product <number theory> | ||
| || | | || | ||
| || | | || | ||
Line 2,197: | Line 2,185: | ||
| || | | || | ||
| || | | || | ||
| | | permutation || set <mathematical logic>; sequence <number theory> | ||
| || | | || | ||
| || | | || | ||
Line 2,206: | Line 2,194: | ||
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| || | |||
|} | |||
{| 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 || | ||
| || | | || | ||
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Line 2,224: | Line 2,224: | ||
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Line 2,233: | Line 2,233: | ||
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| | | bijective proof || | ||
| || | | || | ||
| || | | || | ||
Line 2,242: | Line 2,242: | ||
| || | | || | ||
| || | | || | ||
| | | double counting, counting in two ways || | ||
| || | | || | ||
| || | | || | ||
Line 2,251: | Line 2,251: | ||
| || | | || | ||
| || | | || | ||
| | | inclusion–exclusion principle || union <mathematical logic>; intersection <mathematical logic>; cardinality <mathematical logic> | ||
| || | | || | ||
| || | | || | ||
Line 2,260: | Line 2,260: | ||
| || | | || | ||
| || | | || | ||
| | | method of distinguished element || | ||
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Line 2,269: | Line 2,269: | ||
| || | | || | ||
| || | | || | ||
| | | pigeonhole principle || | ||
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Line 2,278: | Line 2,278: | ||
| || | | || | ||
| || | | || | ||
| | | rule of division || | ||
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| || | | || | ||
Line 2,287: | Line 2,287: | ||
| || | | || | ||
| || | | || | ||
| | | rule of product, multiplication principle || | ||
| || | | || | ||
| || | | || | ||
Line 2,296: | Line 2,296: | ||
| || | | || | ||
| || | | || | ||
| | | rule of sum, addition principle || | ||
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Line 2,305: | Line 2,305: | ||
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|} | |||
==== 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 | |||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | || | ||
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Line 2,323: | Line 2,335: | ||
| || | | || | ||
| || | | || | ||
| | | automorphism || graph; symmetry <geometry> | ||
| || | | || | ||
| || | | || | ||
Line 2,332: | Line 2,344: | ||
| || | | || | ||
| || | | || | ||
| | | complete graph || undirected graph | ||
| || | | || | ||
| || | | || | ||
Line 2,341: | Line 2,353: | ||
| || | | || | ||
| || | | || | ||
| | | cycle || trail | ||
| || | | || | ||
| || | | || | ||
Line 2,350: | Line 2,362: | ||
| || | | || | ||
| || | | || | ||
| | | directed cycle || directed trail | ||
| || | | || | ||
| || | | || | ||
Line 2,359: | Line 2,371: | ||
| || | | || | ||
| || | | || | ||
| directed graph, digraph || graph | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | edge || vertex | ||
| || | | || | ||
| || | | || | ||
Line 2,389: | Line 2,389: | ||
| || | | || | ||
| || | | || | ||
| | | edge-labeled graph || edge labeling | ||
| || | | || | ||
| || | | || | ||
Line 2,398: | Line 2,398: | ||
| || | | || | ||
| || | | || | ||
| | | edge labeling || graph labeling | ||
| || | | || | ||
| || | | || | ||
Line 2,407: | Line 2,407: | ||
| || | | || | ||
| || | | || | ||
| | | endpoint || undirected graph | ||
| || | | || | ||
| || | | || | ||
Line 2,416: | Line 2,416: | ||
| || | | || | ||
| || | | || | ||
| | | graph || set <mathematical logic>; object <mathematical logic>; edge | ||
| || | | || | ||
| || | | || | ||
Line 2,425: | Line 2,425: | ||
| || | | || | ||
| || | | || | ||
| | | graph labeling || graph | ||
| || | | || | ||
| || | | || | ||
Line 2,434: | Line 2,434: | ||
| || | | || | ||
| || | | || | ||
| | | induced subgraph || subgraph | ||
| || | | || | ||
| || | | || | ||
Line 2,443: | Line 2,443: | ||
| || | | || | ||
| || | | || | ||
| | | loop || edge | ||
| || | | || | ||
| || | | || | ||
Line 2,452: | Line 2,452: | ||
| || | | || | ||
| || | | || | ||
| | | multigraph || multiple edges | ||
| || | | || | ||
| || | | || | ||
Line 2,461: | Line 2,461: | ||
| || | | || | ||
| || | | || | ||
| | | multiple edges, parallel edges || endpoint; tail vertex; head vertex | ||
| || | | || | ||
| || | | || | ||
Line 2,470: | Line 2,470: | ||
| || | | || | ||
| || | | || | ||
| path || trail | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | star (graph theory) || complete bipartite graph; tree | ||
| || | | || | ||
| || | | || | ||
Line 2,500: | Line 2,488: | ||
| || | | || | ||
| || | | || | ||
| subgraph || graph; subset <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| supergraph || graph; superset <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| tour || trail | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| trail || walk | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| transpose graph || directed graph | |||
| || | | || | ||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| undirected graph || graph | |||
| || | | || | ||
| || | | || | ||
Line 2,560: | Line 2,542: | ||
| || | | || | ||
| || | | || | ||
| universal vertex, dominating vertex || undirected graph; dominating set | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| vertex [pl:vertices], node || | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| vertex labeling || graph labeling | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| vertex-labeled graph || vertex labeling | |||
| || | | || | ||
| || | | || | ||
Line 2,620: | Line 2,578: | ||
| || | | || | ||
| || | | || | ||
| walk || sequence <number theory>; edge | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | weight || subgraph | ||
| || | | || | ||
| || | | || | ||
Line 2,657: | Line 2,603: | ||
|} | |} | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ perfect graph | |||
! 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 | ||
Line 2,667: | Line 2,613: | ||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |||
| || | |||
| || | |||
| || | |||
| perfect graph || | |||
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| || | |||
| || | |||
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|- | |- | ||
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Line 2,687: | Line 2,642: | ||
|} | |} | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ theorem in graph theory | |||
! 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 | ||
Line 2,701: | Line 2,656: | ||
| || | | || | ||
| || | | || | ||
| || | | theorem in graph theory || | ||
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|- | |||
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Line 2,717: | Line 2,681: | ||
|} | |} | ||
==== | ==== Order Theory ==== | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
Line 2,732: | Line 2,696: | ||
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|- | |||
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| trichotomy || real number <number theory> | |||
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Line 2,747: | Line 2,720: | ||
|} | |} | ||
==== | ==== Game Theory ==== | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
Line 2,777: | Line 2,750: | ||
|} | |} | ||
=== | === Solid Geometry === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
Line 2,800: | Line 2,773: | ||
| || | | || | ||
| || | | || | ||
| | | apex || vertex | ||
| || | | || | ||
| || | | || | ||
Line 2,809: | Line 2,782: | ||
| || | | || | ||
| || | | || | ||
| base (polygon) || face | |||
| || | | || | ||
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| || | | || | ||
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|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | Cavalieri's principle || parallelism; cross section; volume | ||
| || | | || | ||
| || | | || | ||
Line 2,839: | Line 2,800: | ||
| || | | || | ||
| || | | || | ||
| | | cone || shape; three-dimensional space; apex; base (polygon) | ||
| || | | || | ||
| || | | || | ||
Line 2,848: | Line 2,809: | ||
| || | | || | ||
| || | | || | ||
| | | cross section || intersection <mathematical logic>; three-dimensional space; plane | ||
| || | | || | ||
| || | | || | ||
Line 2,857: | Line 2,818: | ||
| || | | || | ||
| || | | || | ||
| | | cuboid || polyhedron; quadrilateral | ||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| cylinder || circle; base (polygon); prism | |||
| || | | || | ||
| || | | || | ||
Line 2,866: | Line 2,836: | ||
| || | | || | ||
| || | | || | ||
| | | face || surface | ||
| || | | || | ||
| || | | || | ||
Line 2,875: | Line 2,845: | ||
| || | | || | ||
| || | | || | ||
| | | facet || three-dimensional space; polyhedron; polytope | ||
| || | | || | ||
| || | | || | ||
Line 2,884: | Line 2,854: | ||
| || | | || | ||
| || | | || | ||
| | | field of view || | ||
| || | | || | ||
| || | | || | ||
Line 2,893: | Line 2,863: | ||
| || | | || | ||
| || | | || | ||
| | | octant || quadrant | ||
| || | | || | ||
| || | | || | ||
Line 2,902: | Line 2,872: | ||
| || | | || | ||
| || | | || | ||
| | | orthant || octant | ||
| || | | || | ||
| || | | || | ||
Line 2,911: | Line 2,881: | ||
| || | | || | ||
| || | | || | ||
| | | parallel planes || parallelism | ||
| || | | || | ||
| || | | || | ||
Line 2,920: | Line 2,890: | ||
| || | | || | ||
| || | | || | ||
| | | polyhedron || polygon; face | ||
| || | | || | ||
| || | | || | ||
Line 2,929: | Line 2,899: | ||
| || | | || | ||
| || | | || | ||
| | | polytope || polygon; polyhedron | ||
| || | | || | ||
| || | | || | ||
Line 2,938: | Line 2,908: | ||
| || | | || | ||
| || | | || | ||
| | | prism || polyhedron; parallelogram; translation | ||
| || | | || | ||
| || | | || | ||
Line 2,947: | Line 2,917: | ||
| || | | || | ||
| || | | || | ||
| | | pyramid || polyhedron | ||
| || | | || | ||
| || | | || | ||
Line 2,956: | Line 2,926: | ||
| || | | || | ||
| || | | || | ||
| three-dimensional space | | solid angle || field of view; point; angle; three-dimensional space | ||
| || | | || | ||
| || | | || | ||
Line 2,965: | Line 2,935: | ||
| || | | || | ||
| || | | || | ||
| | | three-dimensional space, 3D space || | ||
| || | | || | ||
| || | | || | ||
Line 2,981: | Line 2,951: | ||
|} | |} | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ graphical projection | |||
! 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 | ||
Line 2,995: | Line 2,965: | ||
| || | | || | ||
| || | | || | ||
| | | graphical projection || | ||
| || | | || | ||
| || | | || | ||
Line 3,009: | Line 2,979: | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | axonometric projection || orthographic projection | ||
| || | | || | ||
| || | | || | ||
Line 3,034: | Line 2,992: | ||
| || | | || | ||
| || | | || | ||
| curvilinear perspective || perspective projection | |||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| | | isometric projection || axonometric projection | ||
| || | | || | ||
| || | | || | ||
Line 3,064: | Line 3,010: | ||
| || | | || | ||
| || | | || | ||
| 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 | |||
| || | | || | ||
| || | | || | ||
Line 3,102: | Line 3,062: | ||
|} | |} | ||
=== | === Convex Geometry === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Hans-CN: | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! cmn-Latn.Pinyin-CN: | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! deu-Latn-DE: | ! eng-Latn-US: concept !! eng-Latn-US: prerequisite | ||
! eng-Latn-US: | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! fra-Latn-FR: | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
! jpn-Jpan-JP: | ! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ||
! jpn-Hrkt-JP: | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
! rus-Cyrl-RU: | |||
|- | |- | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | |||
|- | |- | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | | || | ||
| | |||
|} | |} | ||
== | == Non-Euclidean Geometry == | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |- | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |- | ||
| | | || | ||
| | | || | ||
| | | || | ||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |} | ||
< | === Elliptic Geometry === | ||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Hyperbolic Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Spherical Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Affine Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Projective Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
=== Differential Geometry === | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
==== Riemannian Geometry ==== | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
==== Symplectic Geometry ==== | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Algebraic Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| vector sum || vector; sum <number theory> | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Analytic Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| abscissa || two-dimensional space; graph | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| Cartesian coordinate system || cuboid; coordinate system | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| coordinate || position | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| cylindrical coordinate system || cylinder; coordinate system | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| displacement || Euclidean vector; motion <mechanics> | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| Euclidean distance || Euclidean space; line segment | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| Euclidean space || three-dimensional space | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| Euclidean vector || magnitude <number theory>; orientation | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| line–plane intersection || intersection; line; plane | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| line–sphere intersection || intersection; line; sphere | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| ordinate || two-dimensional space; graph | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| position, position vector, location vector || Euclidean vector | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| spherical coordinate system || sphere; coordinate system | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| three-dimensional space || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| transformation || bijection <mathematical logic> | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Complex Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Synthetic Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
== Finite Geometry == | |||
{| class="wikitable sortable" | |||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | |||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | |||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | |||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | |||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | |||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | |||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|- | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
| || | |||
|} | |||
<center> | |||
https://upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Thales%27_Theorem.svg/274px-Thales%27_Theorem.svg.png | |||
</center> | |||
{{Sci-Tech-Index-Menu}} | {{Sci-Tech-Index-Menu}} | ||
==Other Lessons== | |||
* [[Language/Multiple-languages/Vocabulary/Mechanics|Mechanics]] | |||
* [[Language/Multiple-languages/Vocabulary/Metrology|Metrology]] | |||
* [[Language/Multiple-languages/Vocabulary/Genders-of-countries|Genders of countries]] | |||
* [[Language/Multiple-languages/Vocabulary/Information-Theory|Information Theory]] | |||
* [[Language/Multiple-languages/Vocabulary/Greetings-Nighttime-greeting|Greetings Nighttime greeting]] | |||
* [[Language/Multiple-languages/Vocabulary/Collocations-with-have|Collocations with have]] | |||
* [[Language/Multiple-languages/Vocabulary/Mathematical-Logic|Mathematical Logic]] | |||
* [[Language/Multiple-languages/Vocabulary/Greetings-What-is-the-news|Greetings What is the news]] | |||
* [[Language/Multiple-languages/Vocabulary/Second-Language-Loss-or-Attrition|Second Language Loss or Attrition]] | |||
<span links></span> |
Latest revision as of 13:15, 27 March 2023
Hello polyglots, 😀
On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.
cmn-Hans-CN: 科目 | cmn-Latn.Pinyin-CN: kēmù | deu-Latn-DE: Fach [n] | eng-Latn-US: subject | fra-Latn-FR: matière [f] | jpn-Jpan-JP: 科目 | jpn-Hrkt-JP: か↑もく | rus-Cyrl-RU: предме́т |
---|---|---|---|---|---|---|---|
欧几里得几何 | Ōujīlǐdé jǐhé | euklidische Geometrie | Euclidean geometry | géométrie [f] euclidienne | ユークリッド幾何学 | ユ↑ークリ-ッドき↑か↓がく | евкли́дова геоме́трия |
平面几何 | píngmiàn jǐhé | ebene Geometrie | plane geometry | géométrie [f] plane | 平面幾何 | へ↑いめ↓んきか | пло́ская геоме́трия |
三角学 | sānjiǎo xué | Trigonometrie [f] | trigonometry | trigonométrie [f] | 三角法 | さ↑んかくほう | тригономе́трия |
离散几何与组合几何 | lísǎn jǐhé yǔ zǔhé jǐhé | discrete geometry and combinatorial geometry | diskrete Geometrie und kombinatorische Geometrie | géométrie discrète et géométrie combinatoire | 離散幾何学と組み合せ幾何学 | り↑さんきか↓がくとく↑みあわ↓せき↑か↓がく | дискре́тная геоме́трия и комбинато́рная геоме́трия |
立体几何 | lìtǐ jǐhé | Stereometrie [f], räumliche Geometrie, Raumgeometrie [f] | solid geometry, stereometry | géométrie [f] dans l'espace | 立体幾何学 | り↑ったいきか↓がく | стереоме́трия |
凸几何 | tū jǐhé | Konvexgeometrie [f], konvexe Geometrie | convex geometry | géométrie [f] convexe | 凸幾何学 | と↑つきか↓がく | вы́пуклая геоме́трия |
非欧几里得几何 | fēi Ōujīlǐdé jǐhé | nichteuklidische Geometrie | non-Euclidean geometry | géométrie [f] non euclidienne | 非ユークリッド幾何学 | ひ↑ユークリッドきか↓がく | неевкли́дова геоме́трия |
椭圆几何 | tuǒyuán jǐhé | elliptische Geometrie | elliptic geometry | géométrie [f] elliptique | 楕円幾何学 | だ↑えんきかが↓く | эллиптическая геометрия |
双曲几何,罗巴切夫斯基几何 | shuāngqū jǐhé, Luóbājièfūsījī jǐhé | hyperbolische Geometrie | hyperbolic geometry, Lobachevskian geometry | géométrie [f] hyperbolique | 双曲幾何学,ボヤイ・ロバチェフスキー幾何学 | そ↑うきょくきか↓がく,ボ↓ヤイ・ロ↑バチェフス↓キーき↑か↓がく | гиперболи́ческая геоме́трия, геоме́трия Лобаче́вского |
球面几何 | qiúmiàn jǐhé | sphärische Geometrie, Kugelgeometrie [f] | spherical geometry | géométrie [f] sphérique | 球面幾何学 | きゅ↑うめんきか↓がく | сфери́ческая геоме́трия |
仿射几何 | fǎngshè jǐhé | affine Geometrie | affine geometry | géométrie [f] affine | アフィン幾何学 | ア↓フィンき↑か↓がく | аффи́нная геоме́трия |
射影几何 | shèyǐng jǐhé | projektive Geometrie | projective geometry | géométrie [f] projective | 射影幾何学 | しゃ↑えいきか↓がく | проекти́вная геоме́трия |
微分几何 | wēifēn jǐhé | Differentialgeometrie [f] | differential geometry | géométrie [f] différentielle | 微分幾何 | び↑ぶ↓んき↑か↓がく | дифференциа́льная геоме́трия |
黎曼几何 | Límàn jǐhé | riemannsche Geometrie | Riemannian geometry | géométrie [f] riemannienne | リーマン幾何学 | リ↑ーマンきか↓がく | риманова геоме́трия |
辛几何 | xīn jǐhé | symplektische Geometrie | symplectic geometry | géométrie [f] symplectique | シンプレクティック幾何学 | シ↑ンプレクティックきか↓がく | симплектическая геоме́трия |
代数几何 | dàishù jǐhé | algebraische Geometrie | algebraic geometry | géométrie [f] algébrique | 代数幾何学 | だ↑いすうきか↓がく | алгебраи́ческая геоме́трия |
解析几何,坐标几何,卡氏几何 | jiěxī jǐhé, zuòbiāo jǐhé, Kǎshì jǐhé | Analytische Geometrie, Vektorgeometrie | analytic geometry, coordinate geometry, Cartesian geometry | géométrie [f] analytique | 解析幾何学,座標幾何学,デカルト幾何学 | か↑いせききか↓がく,ざ↑ひょうきか↓がく,デ↑カルトきか↓がく | аналити́ческая геоме́трия |
复几何 | fù jǐhé | komplexe Geometrie | complex geometry | géométrie [f] complexe | 複素幾何学 | ふ↑くそきか↓がく | сло́жная геоме́трия |
综合几何 | zōnghé jǐhé | synthetische Geometrie | synthetic geometry, axiomatic geometry, pure geometry | géométrie [f] synthétique, géométrie [f] pure | 総合幾何学 | そ↑うごうきか↓がく | синтети́ческий ме́тод |
有限几何 | yǒuxiàn jǐhé | endliche Geometrie | finite geometry | géométrie [f] finie | 有限幾何学 | ゆ↑うげんきか↓がく | коне́чная геоме́трия |
Euclidean Geometry[edit | edit source]
Plane Geometry[edit | edit source]
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
acute angle | angle | ||||||||||||||
acute trapezoid | trapezoid; acute angle | ||||||||||||||
acute triangle | acute angle; triangle | ||||||||||||||
adjacent angles | angle | ||||||||||||||
altitude | perpendicularity; base (polygon) | ||||||||||||||
angle | line | ||||||||||||||
angle bisector | angle; bisection | ||||||||||||||
annulus [pl:annuli] | concentric circles | ||||||||||||||
apex | vertex | ||||||||||||||
圆周率 | yuánzhōu lǜ | Kreiszahl [f], Pi [n] | Archimedes' constant, pi | circumstance; diameter | |||||||||||
aspect ratio | ratio <number theory> | ||||||||||||||
area | two-dimensional space; plane | ||||||||||||||
arc length | curve | ||||||||||||||
auxiliary angle | straight angle | ||||||||||||||
auxiliary line | mathematical proof <mathematical logic>; line | ||||||||||||||
base (polygon) | edge | ||||||||||||||
bisection | |||||||||||||||
Cavalieri's principle | plane; parallel lines; intersection; line segment; area | ||||||||||||||
center | |||||||||||||||
centroid | shape; midpoint | ||||||||||||||
chord | circle | ||||||||||||||
circle | conic section | ||||||||||||||
circular sector | disk; radius | ||||||||||||||
circumcenter | circumcircle; center | ||||||||||||||
circumference | perimeter; circle; ellipse | ||||||||||||||
circumradius | circumcircle; radius | ||||||||||||||
closed line segment | line segment | ||||||||||||||
complementary angles | adjacent angles; right angle | ||||||||||||||
congruent | shape | ||||||||||||||
conic section | cone; plane; locus; focus; directrix | ||||||||||||||
concave polygon | simple polygon | ||||||||||||||
concentric circles | circle | ||||||||||||||
concyclic, cocyclic | point; circle | ||||||||||||||
coordinate system | |||||||||||||||
curve | |||||||||||||||
diameter | circle; end point; center | ||||||||||||||
disk | plane; circle | ||||||||||||||
eccentricity | conic section | ||||||||||||||
edge | line segment; vertex | ||||||||||||||
edge length | edge; length | ||||||||||||||
ellipse | conic section | ||||||||||||||
end point | line segment | ||||||||||||||
equilateral triangle | triangle (shape); regular polygon | ||||||||||||||
explementary angles | adjacent angles; turn | ||||||||||||||
extended side | edge | ||||||||||||||
exterior angle, external angle | extended side | ||||||||||||||
exterior angle theorem | exterior angle; round angle | ||||||||||||||
extreme and mean ratio, golden ratio, golden mean, golden section | |||||||||||||||
focus | point; curve | ||||||||||||||
half-open line segment | line segment | ||||||||||||||
heptagram, septagram, septegram, septogram | regular star polygon | ||||||||||||||
hexagon | polygon | ||||||||||||||
hyperbola | conic section | ||||||||||||||
interior angle, internal angle | simple polygon | ||||||||||||||
intersection | geometric object; parallel lines | ||||||||||||||
inverse Pythagoras' theorem, inverse Pythagorean theorem | hypotenuse; foot | ||||||||||||||
kite, deltoids | quadrilateral | ||||||||||||||
length | distance | ||||||||||||||
line | locus | ||||||||||||||
line segment | line | ||||||||||||||
line–line intersection | intersection | ||||||||||||||
locus [pl:loci] | set <mathematical logic>; point | ||||||||||||||
major arc | semicircle | ||||||||||||||
manifold | Euclidean space; topological space <topology> | ||||||||||||||
midpoint | line segment | ||||||||||||||
minor arc | semicircle | ||||||||||||||
mirror image | shape | ||||||||||||||
obtuse angle | right triangle | ||||||||||||||
obtuse triangle | obtuse angle | ||||||||||||||
open line segment | line segment | ||||||||||||||
opposite angles, vertical angles | intersection; angle | ||||||||||||||
parabola | conic section | ||||||||||||||
parallelism | |||||||||||||||
parallel lines | parallelism; line | ||||||||||||||
pentagon | polygon | ||||||||||||||
pentagram | regular star polygon | ||||||||||||||
perimeter | shape; arc length | ||||||||||||||
perpendicular bisector | perpendicularity; bisection | ||||||||||||||
perpendicularity | right angle | ||||||||||||||
plane | line | ||||||||||||||
plane curve | curve; plane | ||||||||||||||
point | |||||||||||||||
polygon | shape; line segment | ||||||||||||||
polygonal chain, polygonal curve, polygonal path, polyline | line segment | ||||||||||||||
position vector, location vector, radius vector | Euclidean vector | ||||||||||||||
power of a point | circle | ||||||||||||||
quadrant | Cartesian coordinate system; domain <mathematical analysis> | ||||||||||||||
quadrilateral, quadrangle, tetragon | edge; vertex | ||||||||||||||
radius | circle; perimeter | ||||||||||||||
ray, half-line | line | ||||||||||||||
rectangle | quadrilateral; right angle | ||||||||||||||
reflection | Euclidean space; isometry; hyperplane; fixed point <algebra> | ||||||||||||||
reflection symmetry, line symmetry, mirror symmetry | symmetry; reflection | ||||||||||||||
regular pentagon | pentagon; regular polygon | ||||||||||||||
regular polygon | polygon | ||||||||||||||
regular star polygon | star polygon; regular polygon | ||||||||||||||
right angle | angle | ||||||||||||||
right kite | kite; right angle | ||||||||||||||
right trapezoid | trapezoid; right angle | ||||||||||||||
right triangle, orthogonal triangle | triangle (shape); right angle | ||||||||||||||
rhombus, equilateral quadrilateral, diamond, lozenge | quadrilateral | ||||||||||||||
ruler, rule | |||||||||||||||
segment bisector | line segment; bisection | ||||||||||||||
shape, figure | |||||||||||||||
similar | similarity | ||||||||||||||
similarity | shape; reflection symmetry | ||||||||||||||
simple polygon | polygon; intersection | ||||||||||||||
square | quadrilateral; regular polygon | ||||||||||||||
star polygon | concave polygon | ||||||||||||||
straight angle | angle | ||||||||||||||
sum of angles | angle | ||||||||||||||
supplementary angles | adjacent angles; straight angle | ||||||||||||||
surface | plane | ||||||||||||||
symmetry | |||||||||||||||
trapezoid | convex polygon; parallel lines | ||||||||||||||
triangle (shape) | edge; vertex | ||||||||||||||
triangle (tool) | triangle (shape) | ||||||||||||||
turn, cycle, revolution, complete rotation | |||||||||||||||
two-dimensional space, 2D space | point | ||||||||||||||
vector | |||||||||||||||
vertex | point; line | ||||||||||||||
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 | ||||||||||||||
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 | ||||||||||||||
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 | ||||||||||||||
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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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 | ||||||||||||||
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 |
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> | ||||||||||||||
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 | ||||||||||||||
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 | |||||||||||||||
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 | |||||||||||||||
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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Other Lessons[edit | edit source]
- Mechanics
- Metrology
- Genders of countries
- Information Theory
- Greetings Nighttime greeting
- Collocations with have
- Mathematical Logic
- Greetings What is the news
- Second Language Loss or Attrition