Editing Euclidean geometry (section)

===Archimedes and Apollonius===
[[File:Archimedes sphere and cylinder.svg|thumb|right|A sphere has 2/3 the volume and surface area of its circumscribing cylinder. A sphere and cylinder were placed on the tomb of Archimedes at his request.]]
[[Archimedes]] ({{circa|287 BCE|212 BCE}}), a colorful figure about whom many historical anecdotes are recorded, is remembered along with Euclid as one of the greatest of ancient mathematicians. Although the foundations of his work were put in place by Euclid, his work, unlike Euclid's, is believed to have been entirely original.<ref>Eves, p.&nbsp;27.</ref> He proved equations for the volumes and areas of various figures in two and three dimensions, and enunciated the [[Archimedean property]] of finite numbers.

[[Apollonius of Perga]] ({{circa|240 BCE|190 BCE}}) is mainly known for his investigation of conic sections.

[[File:Frans Hals - Portret van René Descartes.jpg|thumb|left|René Descartes. Portrait after [[Frans Hals]], 1648.]]