A History of the Teaching of Elementary Geometry

algebra applications Archimedes arithmetic astronomy began Boethius books of Euclid Cantor Chapter circle colleges conic sections course edition Egyptians eighteenth century elementary geometry Elements employed Euclid Euclidean Eudoxus France geome géométrie geometry was taught Gerbert Germany Geschichte given Greeks Günther Gymnasia Gymnasium heights and distances Heron of Alexandria high school Ibid influence institutions isosceles isosceles trapezoid Italy L'enseignement later Latin learning Legendre Leonardo of Pisa logical geometry lycées Math mathématiques mensuration ment mentioned method middle parallel parallel axiom plane and solid plane figures plane geometry Plato practical geometry problems Proclus Professor proof propositions pupils Pythagoreans reductio ad absurdum referred secondary schools sequence sixteenth century solid geometry straight line study of Euclid study of geometry subject-matter of geometry surveying teachers teaching of geometry teaching of mathematics text-books texts Thales theorems tion to-day treatment triangle trigonometry universities