About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 89. Chapters: Euclidean space, Rotation, Congruence, Plane, Similarity, Hyperplane, Radio navigation, Euclid's Elements, Gyrovector space, Root system, Euclidean subspace, Multilateration, Triangulation, Homothetic center, Crystal system, Orientation, Triangle group, Intercept theorem, One-dimensional symmetry group, Rodrigues' rotation formula, Book of Lemmas, Trilateration, Isosceles triangle theorem, Curve of constant width, Screw axis, Method of exhaustion, Parallelogram law, Sangaku, Euclid's Optics, Line-plane intersection, Vertex, Alignments of random points, Casey's theorem, Cauchy's theorem, Rotation of axes, Abouabdillah's theorem, Measurement of a Circle, Equal incircles theorem, Expansion, Jung's theorem, On Spirals, Flat, On the Sphere and Cylinder, Orthographic projection, Square lattice, Disk, Orthant, Point on plane closest to origin, Varignon's theorem, Steiner-Lehmus theorem, Star domain, Apollonius' theorem, Half-space, Triangle postulate, Intersection of a polyhedron with a line, Simple polytope, Integer lattice, Simplicial polytope, Milman's reverse Brunn-Minkowski inequality, De Gua's theorem, Busemann's theorem, Cevian, Hadwiger-Finsler inequality, Hiroshi Haruki, Equiangular lines, Distance from a point to a line, British flag theorem, Dissection problem, Pendent, Plane symmetry, Peak, Saccheri-Legendre theorem, Beckman-Quarles theorem, Vertex angle, Gyration, Coincident, Ortsbogen theorem, Anthropomorphic polygon, Schiffler's theorem, Maximum-margin hyperplane. 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 h...
