02250nam a22002777a 4500 20220623130340.0 220623b |||||||| |||| 00| 0 eng d 9789393330161 ;Donated from NMBH 513.5 COX Coxeter, H. S. M. Geometry Revisited / H S M Coxeter; Washington, D.C. : Mathematical Association of America, ©1967 xiv, 193p : ; 23 cm. Donated New mathematical library, 19. Points and lines connected with a triangle : The extended law of sines ; Ceva’s theorem ; Points of interest ; The incircle and excircles ; The Steiner-Lehmus theorem ; The orthic triangle ; The medial triangle and Euler line ; The nine-point circle ; Pedal triangles -- Some properties of circles : The power of a point with respect to circles ; The radical axis of two circles ; Coaxal circles ; More on the altitudes and orthocenter of a triangle ; Simson lines ; Ptolemy’s theorem and its extension ; More on Simson lines ; The butterfly ; Morley’s theorem -- Collinearity and concurrence : Quadrangles; Varignon’s theorem ; Cyclic quadrangles; Brahmagupta’s formula ; Napoleon triangles ; Menelaus’s theorem ; Pappus’s theorem ; Perspective triangles; Desargues’s theorem ; Hexagons ; Pascal’s theorem ; Brianchon’s theorem -- Transformations : Translation ; Rotation ; Half-turn ; Reflection ; Fagnano’s problem ; The three jug problem ; Dilatation ; Spiral similarity ; A genealogy of transformations -- An introduction to inversive geometry : Separation ; Cross ratio ; Inversion ; The inversive plane ; Orthogonality ; Feuerbach’s theorem ; Coaxal circles ; Inversive distance ; Hyperbolic functions -- An introduction to projective geometry : Reciprocation ; The polar circle of a triangle ; Conics ; Focus and directrix ; The projective plane ; Central conics ; Stereographic and gnomonic projection. A fascinating collection of geometric proofs and propertie Mathematics Arithmetic Geometry, Modern. Géométrie moderne. Coxeter, H. S. M. Greitzer S L MDL 59428 59428 0 0 ddc 0 0 MDL MDL 2022-06-23 Donated from NBHM 0 513.5 COX M383 2022-06-23 00:00:00 2022-06-23 MDL