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Classical Geometry: Euclidean, Transformational, Inversive, And Projective
I. E. Leonard, J. E. Lewis, A. C. F. Liu
Synopsis "Classical Geometry: Euclidean, Transformational, Inversive, And Projective"
This Book Focuses On Geometry, Which Is The Mathematics Of The Space Around Us And Is Important For Understanding The World As Well As Aids Students In Learning The Art Of Logical Reasoning, Modeling, And Proof. Classical Geometry: Euclidean, Transformational, Inversive, And Projective Features A Very Reader - Friendly Approach And Presents Numerous Fully Worked Examples Throughout With Exercises And Problems At The End Of Each Section. The Book Is Divided Into Three Parts: Euclidean Geometry, Which Contains Coverage Of Congruency, Concurrency, Similarity, The Theorems Of Ceva And Menalaus, Area, And Miscellaneous Topics; Transformational Geometry, Which Contains Coverage Of Euclidean Transformations, The Algebra Of Isometries; The Product Of Direct Isometries; Symmetry, Homotheties, And Tessellations And Other Topics; And Inversive And Projective Geometry, Which Contains Coverage Of Inversion In The Euclidean Plane, Effect Of Inversion On Euclidean Properties, The Inversive Plane, Harmonic Conjugates And The Circle Of Apollonius, Orthogonal Circles, Compass - Only Constructions, Cross Ratios, The Projective Plane And Reciprocation, Conjugate Points And Lines, And Conic Sections. The Book Is Self - Contained And Contains Topical Coverage That Is Appropriate For Geometry Courses Taught Throughout The World
