List of triangle topics: Difference between revisions
Appearance
Content deleted Content added
→Geography: Added Rhubarb Triangle in West Yorkshire Tags: Mobile edit Mobile web edit |
|||
(12 intermediate revisions by 10 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 |
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 18: | Line 15: | ||
*[[Barrow's inequality]] |
*[[Barrow's inequality]] |
||
*[[Barycentric coordinates (mathematics)]] |
*[[Barycentric coordinates (mathematics)]] |
||
*[[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| ]] |
||
Line 24: | Line 22: | ||
*[[Carnot's theorem (inradius, circumradius)]] [[Talk:Carnot's theorem (inradius, circumradius)| ]] |
*[[Carnot's theorem (inradius, circumradius)]] [[Talk:Carnot's theorem (inradius, circumradius)| ]] |
||
*[[Carnot's theorem (perpendiculars)]] [[Talk:Carnot's theorem (perpendiculars)| ]] |
*[[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 55: | Line 54: | ||
*[[Fuhrmann circle]] [[Talk:Fuhrmann circle| ]] |
*[[Fuhrmann circle]] [[Talk:Fuhrmann circle| ]] |
||
*[[Fuhrmann triangle]] [[Talk:Fuhrmann triangle| ]] |
*[[Fuhrmann triangle]] [[Talk:Fuhrmann triangle| ]] |
||
⚫ | |||
*[[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]] |
||
| |
|||
⚫ | |||
*[[Hadwiger–Finsler inequality]] [[Talk:Hadwiger–Finsler inequality| ]] |
*[[Hadwiger–Finsler inequality]] [[Talk:Hadwiger–Finsler inequality| ]] |
||
*[[Heilbronn triangle problem]] |
*[[Heilbronn triangle problem]] |
||
Line 96: | 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 111: | 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 152: | 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| ]] |
||
Line 163: | 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 190: | Line 188: | ||
*[[Trigonometry]] [[Talk:Trigonometry| ]] |
*[[Trigonometry]] [[Talk:Trigonometry| ]] |
||
*[[Uses of trigonometry]] |
*[[Uses of trigonometry]] |
||
| |
|||
=== Applied mathematics === |
=== Applied mathematics === |
||
Line 196: | Line 194: | ||
* [[Triangle mesh]] |
* [[Triangle mesh]] |
||
* [[Nonobtuse mesh]] |
* [[Nonobtuse mesh]] |
||
| |
|||
=== Resources === |
=== Resources === |
||
Line 202: | Line 200: | ||
* ''[[Pythagorean Triangles]]'' |
* ''[[Pythagorean Triangles]]'' |
||
* ''[[The Secrets of Triangles]]'' |
* ''[[The Secrets of Triangles]]'' |
||
|} |
|||
==Algebra== |
==Algebra== |
||
Line 246: | Line 243: | ||
*[[Sunni Triangle]] |
*[[Sunni Triangle]] |
||
*[[Triangular trade]] |
*[[Triangular trade]] |
||
*[[Rhubarb Triangle]] |
|||
==Anatomy== |
==Anatomy== |
||
Line 254: | Line 252: | ||
*[[Submental triangle]] |
*[[Submental triangle]] |
||
*[[Carotid triangle]] |
*[[Carotid triangle]] |
||
*[[Clavipectoral triangle]] |
|||
*[[Inguinal triangle]] |
|||
*[[Codman triangle]] |
|||
==Artifacts== |
==Artifacts== |
||
Line 265: | Line 266: | ||
*[[Eye of Providence]] |
*[[Eye of Providence]] |
||
*[[Valknut]] |
*[[Valknut]] |
||
*[[Shield of the Trinity]] |
|||
{{DEFAULTSORT:Triangle Topics}} |
|||
⚫ | |||
[[Category: |
[[Category:Triangles| Topics]] |
||
[[Category: |
[[Category:Triangle geometry| Topics]] |
||
[[Category: |
[[Category:Outlines of mathematics and logic]] |
||
[[Category: |
[[Category:Outlines]] |
||
[[Category:Lists of |
[[Category:Lists of topics]] |
||
⚫ |
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]- Triangle
- Acute and obtuse triangles
- Altitude (triangle)
- Area bisector of a triangle
- Angle bisector of a triangle
- Angle bisector theorem
- Apollonius point
- Apollonius' theorem
- Automedian triangle
- Barrow's inequality
- Barycentric coordinates (mathematics)
- Bernoulli's quadrisection problem
- Brocard circle
- Brocard points
- Brocard triangle
- Carnot's theorem (conics)
- Carnot's theorem (inradius, circumradius)
- Carnot's theorem (perpendiculars)
- Catalogue of Triangle Cubics
- Centroid
- Ceva's theorem
- Cevian
- Circumconic and inconic
- Circumscribed circle
- Clawson point
- Cleaver (geometry)
- Congruence (geometry)
- Congruent isoscelizers point
- Contact triangle
- Conway triangle notation
- CPCTC
- Delaunay triangulation
- de Longchamps point
- Desargues' theorem
- Droz-Farny line theorem
- Encyclopedia of Triangle Centers
- Equal incircles theorem
- Equal parallelians point
- Equidissection
- Equilateral triangle
- Euler's line
- Euler's theorem in geometry
- Erdős–Mordell inequality
- Exeter point
- Exterior angle theorem
- Fagnano's problem
- Fermat point
- Fermat's right triangle theorem
- Fuhrmann circle
- Fuhrmann triangle
- Geometric mean theorem
- GEOS circle
- Gergonne point
- Golden triangle (mathematics)
- Gossard perspector
- Hadwiger–Finsler inequality
- Heilbronn triangle problem
- Heptagonal triangle
- Heronian triangle
- Heron's formula
- Hofstadter points
- Hyperbolic triangle (non-Euclidean geometry)
- Hypotenuse
- Incircle and excircles of a triangle
- Inellipse
- Integer triangle
- Isodynamic point
- Isogonal conjugate
- Isoperimetric point
- Isosceles triangle
- Isosceles triangle theorem
- Isotomic conjugate
- Isotomic lines
- Jacobi point
- Japanese theorem for concyclic polygons
- Johnson circles
- Kepler triangle
- Kobon triangle problem
- Kosnita's theorem
- Leg (geometry)
- Lemoine's problem
- Lester's theorem
- List of triangle inequalities
- Mandart inellipse
- Maxwell's theorem (geometry)
- Medial triangle
- Median (geometry)
- Menelaus' theorem
- Miquel's theorem
- Mittenpunkt
- Modern triangle geometry
- Monsky's theorem
- Morley centers
- Morley triangle
- Morley's trisector theorem
- Musselman's theorem
- Nagel point
- Napoleon points
- Napoleon's theorem
- Nine-point circle
- Nine-point hyperbola
- One-seventh area triangle
- Orthocenter
- Orthocentric system
- Orthocentroidal circle
- Orthopole
- Pappus' area theorem
- Parry point
- Pedal triangle
- Perimeter bisector of a triangle
- Perpendicular bisectors of triangle sides
- Polar circle (geometry)
- Pompeiu's theorem
- Pons asinorum
- Pythagorean theorem
- Reuleaux triangle
- Regiomontanus
- Regiomontanus' angle maximization problem
- Reuschle's theorem
- Right triangle
- Routh's theorem
- Scalene triangle
- Schwarz triangle
- Schiffler's theorem
- Sierpinski triangle (fractal geometry)
- Similarity (geometry)
- Similarity system of triangles
- Simson line
- Special right triangles
- Spieker center
- Spieker circle
- Spiral of Theodorus
- Splitter (geometry)
- Steiner circumellipse
- Steiner inellipse
- Steiner–Lehmus theorem
- Stewart's theorem
- Steiner point
- Symmedian
- Tangential triangle
- Tarry point
- Ternary plot
- Thales' theorem
- Thomson cubic
- Triangle center
- Triangle conic
- Triangle group
- Triangle inequality
- Triangular bipyramid
- Triangular prism
- Triangular pyramid
- Triangular tiling
- Triangulation
- Trilinear coordinates
- Trilinear polarity
- Trisected perimeter point
- Viviani's theorem
- Yff center of congruence
Trigonometry
[edit]- Differentiation of trigonometric functions
- Exact trigonometric constants
- History of trigonometry
- Inverse trigonometric functions
- Law of cosines
- Law of cotangents
- Law of sines
- Law of tangents
- List of integrals of inverse trigonometric functions
- List of integrals of trigonometric functions
- List of trigonometric identities
- Mollweide's formula
- Outline of trigonometry
- Rational trigonometry
- Sine
- Solution of triangles
- Spherical trigonometry
- Trigonometric functions
- Trigonometric substitution
- Trigonometric tables
- Trigonometry
- Uses of trigonometry
Applied mathematics
[edit]Resources
[edit]Algebra
[edit]Number theory
[edit]Triangular arrays of numbers
[edit]- Bell numbers
- Boustrophedon transform
- Eulerian number
- Floyd's triangle
- Lozanić's triangle
- Narayana number
- Pascal's triangle
- Rencontres numbers
- Romberg's method
- Stirling numbers of the first kind
- Stirling numbers of the second kind
- Triangular number
- Triangular pyramidal number
The (incomplete) Bell polynomials from a triangular array of polynomials (see also Polynomial sequence).
Integers in triangle geometry
[edit]Geography
[edit]- Bermuda Triangle
- Historic Triangle
- Lithium Triangle
- Parliamentary Triangle, Canberra
- Research Triangle
- Sunni Triangle
- Triangular trade
- Rhubarb Triangle
Anatomy
[edit]- Submandibular triangle
- Triangle choke
- Arm triangle choke
- Submental triangle
- Carotid triangle
- Clavipectoral triangle
- Inguinal triangle
- Codman triangle