Isometrica: A Geometrical Introduction to Planar Crystallographic Groups
by George Baloglou
Number of pages: 473
Donald Crowe's 'repeated patterns', may certainly be viewed as one of the very first mathematical creations of humankind. They are recognized today as the poor relatives of the planar crystallographic groups. This book's goal is therefore the gradual unveiling of the structural and the mathematical that hides behind the visual and the artistic. A determined reader can read the entire book relying only on some high school mathematics.
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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 George Whitehead Hearn - Project Gutenberg
Researches on curves of the second order are given in this book, also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis.
by Ruslan Sharipov - arXiv
This is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for deeper learning. It can also be used in mathematics coteries and self-education groups.
by Wong Yan Loi - National University of Singapore
Contents: Pythagoras' theorem; Pythagorean triples; commensurable and incommensurable quantities; Eudoxus' theory of proportion; method of exhaustion; continued fractions; the surface area of a sphere; the method; regular polyhedra; symmetries; etc.