The Teaching of Geometry

algebra altitude ancient angles are equal applications Archimedes Aristotle axioms basal base beginning better bisect Book called century A.D. CHAPTER circle circumference congruent considered construction corollary cube curve cylinder define definition distance drawing easily edge educational elementary geometry equilateral etry Euclid Euclid's Elements example exercises fact figure geom given line Greek Heron of Alexandria hexagon illustration incommensurable inscribed interest intersect isosceles locus logic mathematician mathematics means measure method modern octahedron parallel parallelepiped parallelogram perpendicular plane geometry Plato polyhedrons postulate practical prism problem Proclus proof proportion proposition proved pupil pyramid Pythagoras Pythagorean Theorem question radius ratio reason regular polygons relating right angles right triangle segment sides solid geometry sphere square statement straight line surface syllabus tangent teacher teaching textbook Thales thing tion to-day trigonometry usually vertex vertices volume words writers