Geometry - All Geometry | Mathematics Atlas

Facts

Comparison

Era Of Emergence

300 BCE 1

All Geometry

106 entries

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Topic Area

Proved

Proved By

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Statement Form

Sources

1. Wikipedia: Geometry

Wikimedia FoundationHistory section

Quote, History section

Around 300 BC, geometry was revolutionized by Euclid, whose Elements, widely considered the most successful and influential textbook of all time, introduced mathematical rigor through the axiomatic method.

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)

Caratheodory'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

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