Geometry Triangles and circles Concept
Triangle
Summary
A triangle is a polygon with three vertices and three sides. Its three vertices are points that do not lie on one line, and its sides are the segments that join them in pairs.
Where this leads
46 pages build on this one.
- Similar triangles
- Isosceles triangle theorem
- Angle sum of a triangle
- Law of cosines
- Area of a triangle
- Menelaus's theorem
- Angle bisector theorem
- Heron's formula
- Nine-point circle
- Ceva's theorem
- Exterior angle theorem
- Angle-angle similarity
- Law of sines
- Orthocentre
- Circumcentre
- Incentre
- Pythagorean theorem
- Congruent triangles
- Altitude of a triangle
- Median of a triangle
- Saccheri–Legendre theorem
- Erdős–Mordell inequality
- Orthocentric system
- Congruence criteria for triangles
- Polygon triangulation
- Triangulation of a point set
- Hyperbolic law of cosines
- Triangle center
- Euclid's Elements
- Feuerbach's theorem
- Napoleon's theorem
- Birkhoff's axioms
- Marden's theorem
- Hyperbolic triangle
- Simson line
- Stewart's theorem
- Miquel's theorem
- Pasch's axiom
- CAT(k) space
- Ordered geometry
- Euler's theorem in geometry
- Routh's theorem
- Heilbronn triangle problem
- Fermat point
- Hilbert's axioms
- Morley's trisector theorem
Further reading
- Web https://en.wikipedia.org/wiki/Triangle, lead section
About this page
| Tag | 0CTNFGYMM2 |
|---|---|
| URI | m2://0CTNFGYMM2 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 51M04 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Used by
- Similar triangles
- Isosceles triangle theorem
- Angle sum of a triangle
- Law of cosines
- Area of a triangle
- Menelaus's theorem
- Angle bisector theorem
- Heron's formula
- Nine-point circle
- Ceva's theorem
- Exterior angle theorem
- Law of sines
- Orthocentre
- Circumcentre
- Incentre
- Pythagorean theorem
- Congruent triangles
- Altitude of a triangle
- Median of a triangle
- Saccheri–Legendre theorem
- Erdős–Mordell inequality
- Congruence criteria for triangles
- Polygon triangulation
- Triangulation of a point set
- Triangle center
- Feuerbach's theorem
- Napoleon's theorem
- Birkhoff's axioms
- Marden's theorem
- Hyperbolic triangle
- Simson line
- Stewart's theorem
- Miquel's theorem
- Pasch's axiom
- CAT(k) space
- Euler's theorem in geometry
- Routh's theorem
- Heilbronn triangle problem
- Fermat point
- Morley's trisector theorem