Geometric Transformations: Volume 4, Circular Transformations

I. M. Yaglom authored many books which have since become academic standards of reference. These include Complex Numbers in Geometry, Geometric Transformations, A Simple Non-Euclidean Geometry and its Physical Basis, and Probability and Information. He was Professor of Mathematics at Yaroslavl State University from 1974–83 and a technical consultant at the Academy of Pedagogical Sciences from 1984–88. Abe Shenitzer has translated many mathematics classics (from German, Polish and Russian into English). He retired in 1989 from York University, where he had been Professor of Mathematics since 1969.

1. Reflection in a circle (inversion); Notes to Section 1; 2. Application of inversions to the solution of construction; Problems: constructions with compass alone; Problems involving the construction of circles; Notes to Section 2; 3. Pencils of circles. The radical axis of two circles; Notes to Section 3; 4. Inversion (concluding section); Notes to Section 4; 5. Axial circular transformations; A. Dilatation; B. Axial inversion; Notes to Section 5; Supplement I; Non-euclidean geometry of Lobachevskii-Bolyai, or hyperbolic geometry; Notes to Supplement I; Solutions; Section 1; Section 2; Section 3; Circular transformations; Section 4; Section 5; Supplement II; Notes to Supplement II.