Jump to content

List of triangle topics: Difference between revisions

From Wikipedia, the free encyclopedia
Browse history interactively
← Previous edit
Content deleted Content added
VisualWikitext
→Geography: Added Rhubarb Triangle in West Yorkshire
Tags: Mobile edit Mobile web edit
 
(43 intermediate revisions by 26 users not shown)
Line 1: Line 1:
{{Short description|none}}
This list of [[triangle]] topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as [[Pascal's triangle]] or [[triangular matrix|triangular matrices]], or concretely in physical space. It does not include metaphors like "love triangle" in which the word has no reference to the geometric shape.
This list of [[triangle]] topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as [[Pascal's triangle]] or [[triangular matrix|triangular matrices]], or concretely in physical space. It does not include metaphors like [[love triangle]] in which the word has no reference to the geometric shape.


==Geometry==
==Geometry==
{{Divcol|colwidth=10em}}
{|
|- valign=top
|
*[[Triangle]] [[Talk:Triangle| ]]
*[[Triangle]] [[Talk:Triangle| ]]
*[[Acute and obtuse triangles]] [[Talk:Acute and obtuse triangles| ]]
*[[Acute and obtuse triangles]] [[Talk:Acute and obtuse triangles| ]]
⚫
*[[Altern base]] [[Talk:Altern base| ]]
*[[Altitude (triangle)]] [[Talk:Altitude (triangle)| ]]
*[[Altitude (triangle)]] [[Talk:Altitude (triangle)| ]]
*[[Bisection#Area bisectors and perimeter bisectors|Area bisector of a triangle]]
*[[Bisection#Area bisectors and perimeter bisectors|Area bisector of a triangle]]
Line 17: Line 15:
*[[Barrow's inequality]]
*[[Barrow's inequality]]
*[[Barycentric coordinates (mathematics)]]
*[[Barycentric coordinates (mathematics)]]
*[[Brianchon point]] [[Talk:Brianchon point| ]]
*[[Bernoulli's quadrisection problem]] [[Talk:Bernoulli's quadrisection problem| ]]
*[[Brocard circle]] [[Talk:Brocard circle| ]]
*[[Brocard circle]] [[Talk:Brocard circle| ]]
*[[Brocard points]] [[Talk:Brocard points| ]]
*[[Brocard points]] [[Talk:Brocard points| ]]
*[[Brocard triangle]] [[Talk:Brocard triangle| ]]
*[[Brocard triangle]] [[Talk:Brocard triangle| ]]
*[[Carnot's theorem]] [[Talk:Carnot's theorem| ]]
*[[Carnot's theorem (conics)]] [[Talk:Carnot's theorem (conics)| ]]
*[[Carnot's theorem (inradius, circumradius)]] [[Talk:Carnot's theorem (inradius, circumradius)| ]]
⚫
*[[Carnot's theorem (perpendiculars)]] [[Talk:Carnot's theorem (perpendiculars)| ]]
*[[Catalogue of Triangle Cubics]]
*[[Centroid]] [[Talk:Centroid| ]]
*[[Centroid]] [[Talk:Centroid| ]]
*[[Ceva's theorem]] [[Talk:Ceva's theorem| ]]
*[[Ceva's theorem]] [[Talk:Ceva's theorem| ]]
Line 27: Line 28:
*[[Circumconic and inconic]] [[Talk:Circumconic and inconic| ]]
*[[Circumconic and inconic]] [[Talk:Circumconic and inconic| ]]
*[[Circumscribed circle]] [[Talk:Circumscribed circle| ]]
*[[Circumscribed circle]] [[Talk:Circumscribed circle| ]]
⚫
*[[Clawson point]] [[Talk:Clawson point| ]]
*[[Cleaver (geometry)]] [[Talk:Cleaver (geometry)| ]]
*[[Cleaver (geometry)]] [[Talk:Cleaver (geometry)| ]]
*[[Congruence (geometry)]] [[Talk:Congruence (geometry)| ]]
*[[Congruence (geometry)]] [[Talk:Congruence (geometry)| ]]
Line 47: Line 49:
*[[Exeter point]] [[Talk:Exeter point| ]]
*[[Exeter point]] [[Talk:Exeter point| ]]
*[[Exterior angle theorem]] [[Talk:Exterior angle theorem| ]]
*[[Exterior angle theorem]] [[Talk:Exterior angle theorem| ]]
*[[Fagnano's problem]] [[Talk:Fagnano's problem| ]]
*[[Fermat point]] [[Talk:Fermat point| ]]
*[[Fermat point]] [[Talk:Fermat point| ]]
*[[Fermat's right triangle theorem]] [[Talk:Fermat's right triangle theorem| ]]
*[[Fermat's right triangle theorem]] [[Talk:Fermat's right triangle theorem| ]]
*[[Fuhrmann circle]] [[Talk:Fuhrmann circle| ]]
*[[Fuhrmann circle]] [[Talk:Fuhrmann circle| ]]
*[[Fuhrmann triangle]] [[Talk:Fuhrmann triangle| ]]
*[[Geometric mean theorem]] [[Talk:Geometric mean theorem| ]]
*[[GEOS circle]] [[Talk:GEOS circle| ]]
*[[GEOS circle]] [[Talk:GEOS circle| ]]
*[[Gergonne point]] [[Talk:Gergonne point| ]]
*[[Gergonne point]] [[Talk:Gergonne point| ]]
*[[Golden triangle (mathematics)]] [[Talk:Golden triangle (mathematics)| ]]
*[[Golden triangle (mathematics)]] [[Talk:Golden triangle (mathematics)| ]]
*[[Gossard perspector]]
*[[Gossard perspector]]
|
⚫
*[[Hadley's theorem]] [[Talk:Hadley's theorem| ]]
*[[Hadwiger–Finsler inequality]] [[Talk:Hadwiger–Finsler inequality| ]]
*[[Hadwiger–Finsler inequality]] [[Talk:Hadwiger–Finsler inequality| ]]
*[[Heilbronn triangle problem]]
*[[Heilbronn triangle problem]]
Line 65: Line 68:
*[[Hypotenuse]] [[Talk:Hypotenuse| ]]
*[[Hypotenuse]] [[Talk:Hypotenuse| ]]
*[[Incircle and excircles of a triangle]] [[Talk:Incircle and excircles of a triangle| ]]
*[[Incircle and excircles of a triangle]] [[Talk:Incircle and excircles of a triangle| ]]
*[[Inertia tensor of triangle]] [[Talk:Inertia tensor of triangle| ]]
*[[Inellipse]] [[Talk:Inellipse| ]]
*[[Integer triangle]] [[Talk:Integer triangle| ]]
*[[Integer triangle]] [[Talk:Integer triangle| ]]
*[[Isodynamic point]] [[Talk:Isodynamic point| ]]
*[[Isodynamic point]] [[Talk:Isodynamic point| ]]
Line 85: Line 88:
*[[List of triangle inequalities]] [[Talk:List of triangle inequalities| ]]
*[[List of triangle inequalities]] [[Talk:List of triangle inequalities| ]]
*[[Mandart inellipse]] [[Talk:Mandart inellipse| ]]
*[[Mandart inellipse]] [[Talk:Mandart inellipse| ]]
*[[Maxwell's theorem (geometry)]] [[Talk:Maxwell's theorem (geometry)| ]]
*[[Medial triangle]] [[Talk:Medial triangle| ]]
*[[Medial triangle]] [[Talk:Medial triangle| ]]
*[[Median (geometry)]] [[Talk:Median (geometry)| ]]
*[[Median (geometry)]] [[Talk:Median (geometry)| ]]
Line 90: Line 94:
*[[Miquel's theorem]] [[Talk:Miquel's theorem| ]]
*[[Miquel's theorem]] [[Talk:Miquel's theorem| ]]
*[[Mittenpunkt]] [[Talk:Mittenpunkt| ]]
*[[Mittenpunkt]] [[Talk:Mittenpunkt| ]]
*[[Modern triangle geometry]]
*[[Monsky's theorem]] [[Talk:Monsky's theorem| ]]
*[[Monsky's theorem]] [[Talk:Monsky's theorem| ]]
*[[Morley centers]] [[Talk:Morley centers| ]]
*[[Morley centers]] [[Talk:Morley centers| ]]
Line 105: Line 110:
*[[Orthocentroidal circle]] [[Talk:Orthocentroidal circle| ]]
*[[Orthocentroidal circle]] [[Talk:Orthocentroidal circle| ]]
*[[Orthopole]] [[Talk:Orthopole| ]]
*[[Orthopole]] [[Talk:Orthopole| ]]
|
*[[Pappus' area theorem]] [[Talk:Pappus' area theorem| ]]
*[[Pappus' area theorem]] [[Talk:Pappus' area theorem| ]]
*[[Parry point (triangle)|Parry point]] [[Talk:Parry point (triangle)| ]]
*[[Parry point (triangle)|Parry point]] [[Talk:Parry point (triangle)| ]]
Line 115: Line 119:
*[[Pons asinorum]] [[Talk:Pons asinorum| ]]
*[[Pons asinorum]] [[Talk:Pons asinorum| ]]
*[[Pythagorean theorem]] [[Talk:Pythagorean theorem| ]]
*[[Pythagorean theorem]] [[Talk:Pythagorean theorem| ]]
** [[Inverse Pythagorean theorem]] [[Talk:Inverse Pythagorean theorem| ]]
*[[Reuleaux triangle]] [[Talk:Reuleaux triangle| ]]
*[[Reuleaux triangle]] [[Talk:Reuleaux triangle| ]]
*[[Regiomontanus]] [[Talk:Regiomontanus| ]]
*[[Regiomontanus]] [[Talk:Regiomontanus| ]]
*[[Regiomontanus' angle maximization problem]] [[Talk:Regiomontanus' angle maximization problem| ]]
*[[Regiomontanus' angle maximization problem]] [[Talk:Regiomontanus' angle maximization problem| ]]
*[[Reuschle's theorem]] [[Talk:Reuschle's theorem| ]]
*[[Right triangle]] [[Talk:Right triangle| ]]
*[[Right triangle]] [[Talk:Right triangle| ]]
*[[Routh's theorem]] [[Talk:Routh's theorem| ]]
*[[Routh's theorem]] [[Talk:Routh's theorem| ]]
Line 125: Line 131:
*[[Sierpinski triangle]] (fractal geometry) [[Talk:Sierpinski triangle| ]]
*[[Sierpinski triangle]] (fractal geometry) [[Talk:Sierpinski triangle| ]]
*[[Similarity (geometry)]] [[Talk:Similarity (geometry)| ]]
*[[Similarity (geometry)]] [[Talk:Similarity (geometry)| ]]
*[[Similarity system of triangles]] [[Talk:Similarity system of triangles| ]]
*[[Simson line]] [[Talk:Simson line| ]]
*[[Simson line]] [[Talk:Simson line| ]]
*[[Special right triangles]] [[Talk:Special right triangles| ]]
*[[Special right triangles]] [[Talk:Special right triangles| ]]
Line 143: Line 150:
*[[Thomson cubic]] [[Talk:Thomas cubic| ]]
*[[Thomson cubic]] [[Talk:Thomas cubic| ]]
*[[Triangle center]] [[Talk:Triangle center| ]]
*[[Triangle center]] [[Talk:Triangle center| ]]
*[[Triangle conic]]
*[[Triangle group]] [[Talk:Triangle group| ]]
*[[Triangle group]] [[Talk:Triangle group| ]]
*[[Triangle inequality]] [[Talk: Triangle inequality| ]]
*[[Triangle inequality]] [[Talk: Triangle inequality| ]]
*[[Triangular coordinates]]
*[[Triangular bipyramid]]
*[[Triangular bipyramid]]
*[[Triangular prism]]
*[[Triangular prism]]
Line 155: Line 162:
*[[Trisected perimeter point]] [[Talk:Trisected perimeter point| ]]
*[[Trisected perimeter point]] [[Talk:Trisected perimeter point| ]]
*[[Viviani's theorem]] [[Talk:Viviani's theorem| ]]
*[[Viviani's theorem]] [[Talk:Viviani's theorem| ]]
*[[Wernau points]] [[Talk:Wernau points| ]]
*[[Yff center of congruence]] [[Talk:Yff center of congruence| ]]
*[[Yff center of congruence]] [[Talk:Yff center of congruence| ]]
{{Divcolend}}
|- valign=top

|
===Trigonometry===
===Trigonometry===
*[[Differentiation of trigonometric functions]]
*[[Differentiation of trigonometric functions]]
Line 182: Line 188:
*[[Trigonometry]] [[Talk:Trigonometry| ]]
*[[Trigonometry]] [[Talk:Trigonometry| ]]
*[[Uses of trigonometry]]
*[[Uses of trigonometry]]
|


=== Applied mathematics ===
=== Applied mathematics ===
Line 189: Line 194:
* [[Triangle mesh]]
* [[Triangle mesh]]
* [[Nonobtuse mesh]]
* [[Nonobtuse mesh]]

|
=== Resources ===
=== Resources ===


* [[Encyclopedia of Triangle Centers]]
* ''[[Encyclopedia of Triangle Centers]]''
⚫
* ''[[Pythagorean Triangles]]''
|}
* ''[[The Secrets of Triangles]]''


==Algebra==
==Algebra==
Line 232: Line 238:
*[[Bermuda Triangle]]
*[[Bermuda Triangle]]
*[[Historic Triangle]]
*[[Historic Triangle]]
*[[Lithium Triangle]]
*[[Parliamentary Triangle, Canberra]]
*[[Parliamentary Triangle, Canberra]]
*[[Research Triangle]]
*[[Research Triangle]]
*[[Sunni Triangle]]
*[[Sunni Triangle]]
*[[Triangular trade]]
*[[Triangular trade]]
*[[Rhubarb Triangle]]


==Anatomy==
==Anatomy==
Line 244: Line 252:
*[[Submental triangle]]
*[[Submental triangle]]
*[[Carotid triangle]]
*[[Carotid triangle]]
*[[Clavipectoral triangle]]
*[[Inguinal triangle]]
*[[Codman triangle]]


==Artifacts==
==Artifacts==
Line 255: Line 266:
*[[Eye of Providence]]
*[[Eye of Providence]]
*[[Valknut]]
*[[Valknut]]
*[[Shield of the Trinity]]


{{DEFAULTSORT:Triangle Topics}}
⚫
[[Category:Triangles]]
[[Category:Triangle geometry]]
[[Category:Triangles| Topics]]
[[Category:Mathematics-related lists|Triangle topics]]
[[Category:Triangle geometry| Topics]]
[[Category:Wikipedia outlines|Triangle]]
[[Category:Outlines of mathematics and logic]]
[[Category:Outlines]]
[[Category:Lists of topics]]
[[Category:Lists of shapes]]

Latest revision as of 19:22, 6 July 2024

This list of triangle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as Pascal's triangle or triangular matrices, or concretely in physical space. It does not include metaphors like love triangle in which the word has no reference to the geometric shape.

Geometry

[edit]

Trigonometry

[edit]

Applied mathematics

[edit]

Resources

[edit]

Algebra

[edit]

Number theory

[edit]

Triangular arrays of numbers

[edit]
Main article: Triangular array

The (incomplete) Bell polynomials from a triangular array of polynomials (see also Polynomial sequence).

Integers in triangle geometry

[edit]

Geography

[edit]

Anatomy

[edit]

Artifacts

[edit]

Symbols

[edit]
Retrieved from "https://en.wikipedia.org/enwiki/w/index.php?title=List_of_triangle_topics&oldid=1233000852"