Mathematics in Aristotle

Antiphon Archimedes argument Aristarchus of Samos Aristotle Aristotle says Aristotle's assume assumption astronomy attributes axioms body caelo centre circumference clear continuous cylinder definition Democritus described diagonal diameter distance divided divisible earth equal Eucl Euclid Eudemus Eudoxus exists extremities fact figure finite force fulcrum genus geometry given gnomons Greek Mathematics Hence hypothesis Iamblichus indivisible lines infinite number isosceles length less lesser lever lunes magnitude mathematician matter means Metaph method of exhaustion moon motion movent nature Oxford translator parallel particular passage perpendicular Phys physics plane Plato polygon position principles Proclus proof proportion proposition proved Pythagoreans radius ratio rectilinear reductio ad absurdum respectively rest right angles semicircle sense sensible separate side similarly Simplicius solid speed sphere square straight line suppose Themistius theorem things Timaeus traverse triangle weight whole words ἐν καὶ τὰ τῆς τὸ