Hummm...wonder just how much was known back then of geometry? Hummm...interesting.
Appollonius Conic Sections late 3rd or early 2nd century BC. An amazing work! Decartes thought he must have had algebra and was keeping it secret. All I know is it gave me a headache. He describes the ellipse, hyperbola, and parabola without the use of numbers, but entirely in terms of geometric ratios. UNbefreeking LEEVable!
Ptolemy's Almagest Mid 2nd century. Impressive development of the trigonometry necessary to go from the angular measurements of the location of planets to an account of their motion.
They knew right much geometry.