Euclid's Elements of Geometry
by J.L. Heiberg, R. Fitzpatrick
Number of pages: 545
Euclid's Elements is by far the most famous mathematical work of classical antiquity, and also has the distinction of being the world's oldest continuously used mathematical textbook. The main subjects of the work are geometry, proportion, and number theory.
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by Felix Klein - Ginn and Co.
Professor Pelix Klein presented in this book a discussion of the three famous geometric problems of antiquity -- the duplication of the cube, the trisection of an angle, and the quadrature of the circle, as viewed in the light of modern research.
by Henry B. Fine, Henry D. Thompson - The MacMillan Company
Contents: Coordinates; The Straight Line; The Circle; The Parabola; The Ellipse; The Hyperbola; Transformation Of Coordinates; The General Equation Of The Second Degree; Sections Of A Cone; Systems Of Conics; Tangents And Polars Of The Conic; etc.
by Nathaniel Miller
Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system.
by Serge Tabachnikov
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections from the boundary. Billiards is not a single mathematical theory, it is rather a mathematician’s playground where various methods are tested.