About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 83. Chapters: Euclidean geometry, Angle, Sphere, Diameter, 3-sphere, Great circle, Perimeter, Confocal, Bisection, Mirror image, Cuboid, Shape, Face, Multilateration, Parallel postulate, Tarski's axioms, Conway polyhedron notation, Triangulation, Line, Apollonian circles, Radical axis, Central angle, Trilateration, Angular diameter, Cylinder, Skew lines, Point, Transversal line, Hypotenuse, Kepler triangle, Golden rectangle, Line segment, Median, Pons asinorum, Power center, Clock angle problem, Reflection symmetry, Angle bisector theorem, Plane-sphere intersection, Golden angle, Crossed ladders problem, Annulus, Space diagonal, Weitzenb ck's inequality, Antiparallel, Perpendicular distance, Centre, Vertical angles, Medial triangle, Inscribed figure, Locus, Birkhoff's axioms, Cross section, Midpoint, Cathetus, Complementary angles, Inscribed sphere, Bankoff circle, Concyclic points, Concurrent lines, Supplementary angles, Semicircle, AA postulate, Pompeiu's theorem, Circumscribed sphere, Bonnesen's inequality, Hinge theorem, Hyperbolic sector, Tarry point, Face diagonal, Bicentric polygon, Bicone, Vertical translation, Spherical shell. Excerpt: Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated by earlier mathematicians, Euclid was the first to show how these propositions could fit into a comprehensive deductive and logical system. The Elements begins with plane geometry, still taught in secondary school as the first axiomatic system and the first examples of formal proof. It goes on to the solid geometry of three dimensions. Much...
