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 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 John Casey, Euclid - Longmans, Green, and Co.
This edition of the Elements of Euclid is intended to supply a want much felt by teachers at the present day - the production of a work which, while giving the original in all its integrity, would also contain the modern conceptions and developments.
by E.H. Askwith - Cambridge University Press
The book does not assume any previous knowledge of the Conic Sections, which are here treated on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections are proved quite simply.
by Paul Yiu - Florida Atlantic University
We outline some interesting results with illustrations made by dynamic software. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves.