The Pythagorean Theorem: Crown Jewel of Mathematics
by John C. Sparks
Publisher: AuthorHouse 2008
Number of pages: 190
The author chronologically traces the Pythagorean Theorem from a conjectured beginning, through 4000 years of Pythagorean proofs, from all major proof categories, 20 proofs in total. The text presents several mathematical results closely allied to the Pythagorean Theorem along with some major Pythagorean "spin-offs" such as trigonometry. The books contains some classic puzzles, amusements, and applications. An epilogue summarizes the importance of the Pythagorean theorem and suggests paths for further exploration.
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by Nathaniel Miller
Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system.
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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.
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