The Foundations of Geometry
by David Hilbert
Publisher: Project Gutenberg 1902
Number of pages: 101
Axioms were uncovered in Euclid's geometry. These discoveries were organized into a more rigorous axiomatic system by David Hilbert in his Grundlagen der Geometrie (1899; The Foundations of Geometry). In this and related systems, however, logical connectives and their properties are taken for granted and remain implicit.
Home page url
Download or read it online for free here:
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.
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 W. H. Besant - George Bell and Sons
In the present Treatise the Conic Sections are defined with reference to a focus and directrix, and I have endeavoured to place before the student the most important properties of those curves, deduced, as closely as possible, from the definition.
by George Baloglou
Planar crystallographic groups are one of the very first mathematical creations of humankind. This book's goal is the gradual unveiling of the structural and the mathematical that hides behind the visual and the artistic.