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.
Contents |
Geometry
- Triangle
- Altitude (triangle)
- Angle bisector theorem
- Apollonius' theorem
- 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)
- Contact triangle
- Conway triangle notation
- CPCTC
- Delaunay triangulation
- de Longchamps point
- Desargues' theorem
- Encyclopedia of Triangle Centers
- Equal incircles theorem
- Equilateral triangle
- Euler's line
- Euler's theorem in geometry
- Exterior angle theorem
- Fermat point
- Fuhrmann circle
- GEOS circle
- Gergonne point
- Golden triangle (mathematics)
- Heron's formula
- Hyperbolic triangle (non-Euclidean geometry)
- Hypotenuse
- Incircle and excircles of a triangle
- Inertia tensor of triangle
- Isosceles triangle
- Isodynamic point
- Isogonal conjugate
- Isosceles triangle theorem
- Isotomic conjugate
- Isotomic lines
- Japanese theorem for concyclic polygons
- Johnson circles
- Kepler triangle
- Kobon triangle problem
- Leg (geometry)
- Lester's theorem
- Mandart inellipse
- Medial triangle
- Median (geometry)
- Menelaus' theorem
- Mittenpunkt
- Morley's trisector theorem
- Nagel point
- Napoleon's theorem
- Nine-point circle
- Nine-point hyperbola
- One-seventh area triangle
- Orthocenter
- Orthocentric system
- Pedal triangle
- Pompeiu's theorem
- Pons asinorum
- Pythagorean theorem
- Regiomontanus
- Regiomontanus' angle maximization problem
- Right triangle
- Routh's theorem
- Scalene triangle
- Schwarz triangle
- Schiffler's theorem
- Sierpinski triangle (fractal geometry)
- Similarity (geometry)
- Simson line
- Special right triangles
- Spieker circle
- Spiral of Theodorus
- Splitter (geometry)
- Steiner inellipse
- Steiner–Lehmus theorem
- Stewart's theorem
- Symmedian
- Tarry point
- Ternary plot
- Thales' theorem
- Thomson cubic
- Triangle center
- Triangle group
- Triangulation
- Triangular coordinates
- Trilinear coordinates
- Trisected perimeter point
- Viviani's theorem
- Wernau points
Inequalities
- Triangle inequality
- Barrow's inequality
- Erdős–Mordell inequality
- Euler's theorem in geometry
- Ono's inequality
- Pedoe's inequality
- Hadwiger–Finsler inequality
- Weitzenböck's inequality
Trigonometry
- Law of cosines
- Law of sines
- Law of tangents
- Mollweide's formula
- Rational trigonometry
- Solution of triangles
- Spherical trigonometry
- Trigonometric function
- Trigonometry
Applied mathematics
Resources
Algebra
Number theory
Triangular arrays of numbers
- Boustrophedon transform
- Eulerian number
- Lozanić's triangle
- Narayana number
- Pascal's triangle
- Rencontres numbers
- Stirling numbers of the first kind
- Stirling numbers of the second kind
Integers in geometry
Geography
- Bermuda Triangle
- Sunni triangle
- Historic Triangle
- Parliamentary Triangle, Canberra
- Research Triangle
Anatomy
Artifacts
This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see full disclaimer)
