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Geometry is probably the eldest branch of mathematics. It developed, as people decided to give up their tribal life and settle down. This created the need to measure land to claim its ownership. The word geometry (Greek: “geos” – the Earth and “metrain” – to measure) actually means the measurement of the earth.

The practical need of measuring land and protecting the property transformed, as Greek scholars and philosophers abstracted some terms and started to study their interrelationships: point, straight line, surface and space.

For a long time, geometry and arithmetics remained two separate mathematical disciplines. This changed, as analytic geometry evolved in the 16th and 17th century as the first link between both. However, not before the 20th century, it was possible to derive both disciplines from common fundaments – the axiomatic set theory.

| | | | Contributors: bookofproofs

1.Euclidean Geometry

2.Analytic Geometry

3.Projective Geometry

4.Hyperbolic Geometry

5.Elliptic Geometry

6.Differential Geometry

7.Algebraic Geometry

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