This volume contains the Greek language selections about Greek mathematics ranging from the sixth to the fourth century BC. Featured in volume 1 are Pythagorean arithmetic and geometry, Thales’ theorems of geometry, Aristotle’s iconic principle of the lever, Zeno of Elea’s theories of motion. Also included are Democritus’ expressions for the volume of cones and pyramids, Hippocrates of Chios’ research on the quadrature of the circle, Theaetetus’ descriptions of solids, and Eudoxus of Cnidos’ theories of proportions and spheres. The volume concludes with Euclid’s elements of geometry.