First Principles of Symmetrical Beauty
by David Ramsay Hay
Publisher: W. Blackwood and sons 1846
Number of pages: 305
From the table of contents: Nature of the science of aesthetics explained; Plane figures the bases of all forms; The isosceles triangle; Universal application of the composite ellipse in the arts of ornamental design; and more.
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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.
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.
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 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.