From Thales to Euclid

alphabet Apollonius Archimedes Archytas Arist Aristotle arithmetic astronomy attributed base Book centre circle circumference commensurable conics construction cube curve definition Democritus diameter discovered discovery divided Elements equal equations Euclid Eudemus Eudoxus fact figure follows fractions geometry given straight line gives gnomon Greek Hippocrates Hippocrates's Iamblichus incommensurable indivisible lines inscribed irrational isosceles latter lemma length lune magnitudes mathematician mathematics mean proportionals measure Menaechmus method method of exhaustion motion multiples namely Nicom Nicomachus odd numbers Pappus parallel parallelogram passage plane Plato Plutarch polygon porism problem Proclus Proclus on Eucl proof propositions proved pyramid Pythagoras Pythagoreans pythmen quadratrix quadrature radius ratio rectangle rectilineal right angles right-angled triangle says semicircle side similar segments Simplicius solid solution sphere square number square root suppose Thales Theaetetus Theon of Smyrna things tion treatise trisection units Zeno καὶ