000 02250nam a22002777a 4500
005 20220623130340.0
008 220623b |||||||| |||| 00| 0 eng d
020 _a9789393330161
028 _a;Donated from NMBH
082 _a513.5 COX
100 _aCoxeter, H. S. M.
245 _aGeometry Revisited
_c/ H S M Coxeter;
260 _aWashington, D.C.
_b : Mathematical Association of America,
_c©1967
300 _axiv, 193p :
_c; 23 cm.
365 _bDonated
490 _aNew mathematical library, 19.
505 _aPoints 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.
520 _aA fascinating collection of geometric proofs and propertie
650 _aMathematics
650 _aArithmetic
650 _aGeometry, Modern.
650 _aGéométrie moderne.
700 _aCoxeter, H. S. M.
700 _aGreitzer S L
942 _cMDL
999 _c59428
_d59428