“List of triangle topics”的意思、由来-开放百科全书

词条

List of triangle topics

释义

Geometry
Trigonometry Applied mathematics Resources
Algebra
Number theory
Triangular arrays of numbers Integers in triangle geometry
Geography
Anatomy
Artifacts
Symbols

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

Triangle
Acute and obtuse triangles
Altern base
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)
Brianchon point
Brocard circle
Brocard points
Brocard triangle
Carnot's theorem
Centroid
Ceva's theorem
Cevian
Circumconic and inconic
Circumscribed circle
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
Fermat point
Fermat's right triangle theorem
Fuhrmann circle
GEOS circle
Gergonne point
Golden triangle (mathematics)
Gossard perspector

Hadley's theorem
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
Medial triangle
Median (geometry)
Menelaus' theorem
Miquel's theorem
Mittenpunkt
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
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 group
Triangle inequality
Triangular coordinates
Triangular bipyramid
Triangular prism
Triangular pyramid
Triangular tiling
Triangulation
Trilinear coordinates
Trilinear polarity
Trisected perimeter point
Viviani's theorem
Wernau points
Yff center of congruence

Trigonometry

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

De Finetti diagram
Triangle mesh
Nonobtuse mesh

Resources

Encyclopedia of Triangle Centers

Algebra

Triangular matrix
(2,3,7) triangle group

Number theory

Triangular arrays of numbers

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

Heronian triangle
Integer triangle
Pythagorean triple
Eisenstein triple

Geography

Bermuda Triangle
Historic Triangle
Parliamentary Triangle, Canberra
Research Triangle
Sunni Triangle
Triangular trade

Anatomy

Submandibular triangle
Triangle choke
Arm triangle choke
Submental triangle
Carotid triangle

Artifacts

Black triangle
Triangle (musical instrument)
Triangular prism (optics)
Triquetra

Symbols

Eye of Providence
Valknut

5 : Triangles|Triangle geometry|Mathematics-related lists|Wikipedia outlines|Lists of topics

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