A Course of Pure Geometry: Properties of the Conic Sections
by E.H. Askwith
Publisher: Cambridge University Press 1917
Number of pages: 314
The book does not assume any previous knowledge of the Conic Sections, which are here treated ab initio, on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections which can only be established with great labour from their focus and directrix property are proved quite simply when the curves are derived directly from the circle.
Home page url
Download or read it online for free here:
by Silvio Levy - CRC Press
Contents: Coordinate Systems in the Plane; Plane Symmetries or Isometries; Lines; Polygons; Circles; Conics; Special Plane Curves; Coordinate Systems in Space; Space Symmetries or Isometries; Directions, Planes and Lines; Polyhedra; Spheres; etc.
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.
by Igor Pak - UCLA
This book is aimed to be an introduction to some of our favorite parts of the subject, covering some familiar and popular topics as well as some old, forgotten, sometimes obscure, and at times very recent and exciting results.
by A.H. McDougall - Copp, Clark
Contents: Theorems of Menelaus and Ceva; The Nine-Point Circle; Simpson's Line; Areas op Rectangles; Radical Axis; Medial Section; Miscellaneous Theorems; Similar and Similarly Situated Polygons; Harmonic Ranges and Pencils; etc.