MATHEMATICIAN

Life
Aristaeus was a native of Croton, a Greek colony in southern Italy. He succeeded Eudoxus of Cnidus as the head of his school in Cyrene, and worked closely with Euclid and Apollonius on a treatise entitled "Analysis of Locus", a method of geometry for advanced students, now lost.


Work
His main writings are:

"Geometric loci"

"Elements of conic sections": 5 books.

"On regular solids ": Unlike Apollonius of Perga, Aristaeus considered the three conics as sections of acute-angled, right-angled and obtuse-angled cones perpendicular to the generatrix. Lost.

"On the five regular solids": Proved that the pentagon of a dodecahedron is inscribed in the same circle as the triangle of an icosahedron inscribed in the same sphere. Lost.

"Solid loci": 5 books. This treatise is considered more important than Euclid's work of the same name.

"On geometrical loci with respect to three and four lines".