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All Geometry

Proved results about shape, space and curvature, from classical Euclidean theorems to modern differential and algebraic geometry. Belongs here: geometric theorems, classical or modern, such as the Pythagorean theorem or the Gauss-Bonnet theorem. Does not belong here: open geometric conjectures, still unproved, filed as conjectures instead.

Facts

Comparison

Era Of Emergence

300 BCE 1

All Geometry

106 entries

Branch

Topic Area

Proved

Proved By

Named After

Statement Form

Helly's Theorem

Heron's Formula

Hinge Theorem

Hjelmslev's Theorem

Hodge Index Theorem

Hopf-Rinow Theorem

Inscribed Angle Theorem

Intercept Theorem

Intersecting Chords Theorem

Intersecting Secants Theorem

Isoperimetric Inequality

Japanese Theorem for Cyclic Polygons

Japanese Theorem for Cyclic Quadrilaterals

Kawasaki's Theorem

Kepler Conjecture

Lester's Theorem

Menelaus's Theorem

Miquel's Theorem

Mohr-Mascheroni Theorem

Monge's Theorem

Morley's Trisector Theorem

Napoleon's Theorem

Nash Embedding Theorem

Newton's Theorem (Quadrilateral)

Nine-Point Circle Theorem

Pappus's Theorem

Pascal's Theorem

Pasch's Theorem

Petersen-Morley Theorem

Pick's Theorem

Pitot Theorem

Pompeiu's Theorem

Poncelet's Closure Theorem

Poncelet-Steiner Theorem

Ptolemy's Theorem

Pythagorean Theorem

Radon's Theorem

Rauch Comparison Theorem

Riemann-Hurwitz Formula

Riemann-Roch Theorem

Routh's Theorem

Saccheri-Legendre Theorem

Simson Line Theorem

Six Circles Theorem

Spiral of Theodorus

Steiner-Lehmus Theorem

Stewart's Theorem

Sylvester-Gallai Theorem

Tangent-Secant Theorem

Thales' Theorem