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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

Alexandrov's Theorem on Polyhedra

Angle Bisector Theorem

Angle Trisection

Anne's Theorem

Apollonius's Theorem

Art Gallery Problem

Barbier's Theorem

Beckman-Quarles Theorem

Beck's Theorem (Geometry)

Bezout's Theorem

Blaschke-Santalo Inequality

Bonnet-Myers Theorem

Brahmagupta Theorem

Bretschneider's Formula

Brianchon's Theorem

British Flag Theorem

Butterfly Theorem

Caratheodory's Theorem (Convex Geometry)

Carathéodory's Theorem (Convex Hull)

Carnot's Theorem

Cartan-Hadamard Theorem

Casey's Theorem

Cauchy's Rigidity Theorem (Convex Polyhedra)

Cayley-Bacharach Theorem

Ceva's Theorem

Chow's Theorem

Clifford's Circle Theorems

Commandino's Theorem

Constructibility of the Regular Heptadecagon

Conway Circle Theorem

Crossbar Theorem

Crystallographic Restriction Theorem

De Gua's Theorem

Desargues' Theorem

Descartes Circle Theorem

Double Bubble Theorem

Equal Incircles Theorem

Erdos-Anning Theorem

Erdos-Mordell Inequality

Euler's Polyhedron Formula

Euler's Quadrilateral Theorem

Euler's Rotation Theorem

Exterior Angle Theorem

Feuerbach's Theorem

Finsler-Hadwiger Theorem

Five Circles Theorem

Garfield's Proof of the Pythagorean Theorem

Gauss-Bonnet Theorem

Gauss's Theorema Egregium

Geometric Mean Theorem