History of Mathematics

Sat, 22 Jul 2023 15:25:10 +0900

The Three Classic Problems of Ancient Greek Mathematics

Given a circle, construct a square with the same area (Squaring the circle)
Given an arbitrary angle, trisect it (Angle trisection)
Given a cube, construct a cube with twice the volume (Doubling the cube)

Archimedean Spiral

On a plane, let a ray OB rotate around a fixed point O at a uniform speed. Assuming the initial position is OA, when point P starts from O simultaneously as the ray begins moving from OA, and moves along OB at a constant speed, the curve drawn by point P is an Archimedean spiral.

Pappus’s Theorem

Cycloid
Conchoid of Nicomedes
Cissoid of Diocles
Fermat’s tangent method
Descartes’ normal method

Timeline

Year	Event
c. 3400 BC	Sumerians perform calculations using clay tokens
c. 3000 BC	Hieroglyphic mathematics appears in Egypt
c. 2800 BC	Weights and measures based on the decimal system are used in the Indus Valley Civilization
c. 2700 BC	Egyptians use ropes and Pythagorean triples to verify angles
c. 2500 BC	The abacus, a calculating tool, is discovered
c. 2500 BC

Reference