Diocles was a Greek mathematician and geometer, who probably flourished sometime around the end of the second century and the beginning of the first century BC. He was probably the first to prove the focal property of a parabola.
His name is associated with the geometric curve called the Cissoid of Diocles. It was used by Diocles for doubling the cube.
The curve was alluded to by Proclus in his commentary on Euclid and attributed to Diolcles by Geminus as early as the beginning of the first century.
Fragments of a work by Diocles titled On burning mirrors were preserved by Eutocius in his commentary of Archimedes' On the Sphere and the Cylinder.
One of the fragments contains a solution, using conic sections to solve the problem of dividing a sphere by a plane, so that the resulting two volumes are a given ratio.
This was equivalent to solving a certain cubic equation. Another fragment uses the cissoid to find two mean porportionals.
ANCIENT GREECE INDEX
ANCIENT CIVILIZATIONS INDEX
ALPHABETICAL INDEX OF ALL FILES
CRYSTALINKS HOME PAGE
PSYCHIC READING WITH ELLIE
2012 THE ALCHEMY OF TIME