Topics in Geometry
by John O'Connor
Publisher: University of St Andrews 2003
Contents: Foundations; The linear groups; Examples of linear groups; Isometries of Rn; Isometries of the line; Isometries of the plane; Isometries in 3 dimensions; Symmetry groups in the plane; Frieze groups; Platonic solids; Finite symmetry groups of R3; Full finite symmetry groups in R3; Affine geometry; Affine theorems; Similarity geometry; Projective spaces; etc.
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In this book, after the statement of the axioms, the ideas considered are those concerning the association of Projective and Descriptive Geometry by means of ideal points, point to point correspondence, congruence, distance, and metrical geometry.
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