![]() ![]() Historical and bibliographical notes that contain references to original articles and sources for the materials are provided. There are as many as nine subsections within each chapter, and nearly all sections have their own exercises, culminating in review exercises and the more challenging supplementary exercises at the chapters’ ends. The book has ten chapters: 1) Geometric Constructions, using a method of analysis (assuming the problem is solved, drawing a figure approximately satisfying the conditions of the problem, analyzing the parts of the figure until you discover a relation that may be used for the construction of the required figure), construction of the figure and proof it is the required one and discussion of the problem as to the conditions of its possibility, number of solutions, etc 2) Similitude and Homothecy 3) Properties of the Triangle 4) The Quadrilateral 5) The Simson Line 6) Transversals 7) Harmonic Division 8) Circles 9) Inversions 10) Recent Geometry of the Triangle (e.g., Lemoine geometry Apollonian, Brocard and Tucker Circles, etc.). ![]() In College Geometry, Nathan Atshiller-Court focuses his study of the Euclidean geometry of the triangle and the circle using synthetic methods, making room for notions from projective geometry like harmonic division and poles and polars.
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