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Download or read book The Real Projective Plane written by H.S.M. Coxeter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Along with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem (§1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation (§3.34). This makes the logi cal development self-contained: the footnotes involving the References (pp. 214-216) are for comparison with earlier treatments, and to give credit where it is due, not to fill gaps in the argument. H.S.M.C. November 1992 v Preface to the Second Edition Why should one study the real plane? To this question, put by those who advocate the complex plane, or geometry over a general field, I would reply that the real plane is an easy first step. Most of the prop erties are closely analogous, and the real field has the advantage of intuitive accessibility. Moreover, real geometry is exactly what is needed for the projective approach to non· Euclidean geometry. Instead of introducing the affine and Euclidean metrics as in Chapters 8 and 9, we could just as well take the locus of 'points at infinity' to be a conic, or replace the absolute involution by an absolute polarity.

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Download or read book A Master of Science History written by Jed Z. Buchwald and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: New essays in science history ranging across the entire field and related in most instance to the works of Charles Gillispie, one of the field's founders.

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Download or read book An Outline History of the English Language written by Frederick T Wood and published by . This book was released on 2000-02-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an outline and an introduction to the history of the English language. It seeks to treat all the important aspects of the subject vocabulary, grammar, syntax, pronunciation, sound-change, etymology, etc., in a simple.

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