Download or read book Geometrical Researches on the Theory of Parallels written by Nikolaĭ Ivanovich Lobachevskiĭ and published by . This book was released on 1914 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclid s Parallel Postulate written by John William Withers and published by . This book was released on 1905 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Theory of Parallel Lines written by Ashmolean Society (OXFORD). and published by . This book was released on 1842 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrical Researches on the Theory of Parallels written by Nicholas Lobachevsky and published by Cosimo, Inc.. This book was released on 2007-05-01 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Lobachevsky believed that another form of geometry existed, a non-Euclidean geometry, and this 1840 treatise is his argument on its behalf. Line by line in this classic work he carefully presents a new and revolutionary theory of parallels, one that allows for all of Euclids axioms, except for the last. This 1891 translation includes a bibliography and translator George B. Halsteds essay on elliptic geometry. Russian mathematician NICHOLAS LOBACHEVSKY (17921856) is best remembered as the founder (along with Janos Bolyai) of non-Euclidean geometry. He is also the author of New Foundations of Geometry (18351838) and Pangeometry (1855)."
Download or read book A New Theory of Parallels written by Charles Lutwidge Dodgson and published by . This book was released on 1890 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A new theory of parallels written by Lewis Carroll and published by . This book was released on 1890 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Curiosa Mathematica A new theory of parallels written by Lewis Carroll and published by . This book was released on 1890 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theories of Parallelism written by William Barrett Frankland and published by CUP Archive. This book was released on 1910 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrical Researches on the Theory of Parallels written by Nicholas Lobachevski and published by Literary Licensing, LLC. This book was released on 2014-08-07 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Is A New Release Of The Original 1914 Edition.
Download or read book Euclid s Parallel Postulate written by John William Withers and published by . This book was released on 1905 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Curiosa Mathematica Part 1 written by Charles Lutwidge Dodgson and published by . This book was released on 2008-06 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Download or read book Geometrical Researches on the Theory of Parallels written by Nicholas Lobachevski and published by Forgotten Books. This book was released on 2015-06-26 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Geometrical Researches on the Theory of Parallels Lobachevski was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal can not fail to give you the most vivid pleasure." Clifford says, "It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely." *** "What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevski to Euclid." Says Sylvester, "In Quaternions the example has been given of Algebra released from the yoke of the commutative principle of multiplication - an emancipation somewhat akin to Lobachevski's of Geometry from Euclid's noted empirical axiom." Cayley says, "It is well known that Euclid's twelfth axiom, even in Playfair's form of it, has been considered as needing demonstration; and that Lobachevski constructed a perfectly consistent theory, wherein this axiom was assumed not to hold good, or say a system of non-Euclidean plane geometry. There is a like system of non-Euclidean solid geometry." About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book The Celebrated Theory of Parallels written by Matthew Ryan and published by . This book was released on 1866 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods for Euclidean Geometry written by Owen Byer and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.
Download or read book Theory of Parallels written by Nikolaj Ivanovič Lobačevskij and published by Independently Published. This book was released on 2019-05-22 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: LOBACHEVSKY was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal cannot fail to give you the most vivid pleasure." Clifford says, "It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely." * * * "What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevsky to Euclid." Says Sylvester, "In Quaternions the example has been given of Algebra released from the yoke of the commutative principle of multiplication - an emancipation somewhat akin to Lobachevsky's of Geometry from Euclid's noted empirical axiom." Cayley says, "It is well known that Euclid's twelfth axiom, even in Playfair's form of it, has been considered as needing demonstration; and that Lobachevsky constructed a perfectly consistent theory, where- in this axiom was assumed not to hold good, or say a system of non- Euclidean plane geometry. There is a like system of non-Euclidean solid geometry." GEORGE BRUCE HALSTED. 2407 San Marcos Street, Austin, Texas. * * * *From the TRANSLATOR'S INTRODUCTION. "Prove all things, hold fast that which is good," does not mean demonstrate everything. From nothing assumed, nothing can be proved. "Geometry without axioms," was a book which went through several editions, and still has historical value. But now a volume with such a title would, without opening it, be set down as simply the work of a paradoxer. The set of axioms far the most influential in the intellectual history of the world was put together in Egypt; but really it owed nothing to the Egyptian race, drew nothing from the boasted lore of Egypt's priests. The Papyrus of the Rhind, belonging to the British Museum, but given to the world by the erudition of a German Egyptologist, Eisenlohr, and a German historian of mathematics, Cantor, gives us more knowledge of the state of mathematics in ancient Egypt than all else previously accessible to the modern world. Its whole testimony con- firms with overwhelming force the position that Geometry as a science, strict and self-conscious deductive reasoning, was created by the subtle intellect of the same race whose bloom in art still overawes us in the Venus of Milo, the Apollo Belvidere, the Laocoon. In a geometry occur the most noted set of axioms, the geometry of Euclid, a pure Greek, professor at the University of Alexandria. Not only at its very birth did this typical product of the Greek genius assume sway as ruler in the pure sciences, not only does its first efflorescence carry us through the splendid days of Theon and Hypatia, but unlike the latter, fanatics cannot murder it; that dismal flood, the dark ages, cannot drown it. Like the phoenix of its native Egypt, it rises with the new birth of culture. An Anglo-Saxon, Adelard of Bath, finds it clothed in Arabic vestments in the land of the Alhambra. Then clothed in Latin, it and the new-born printing press confer honor on each other. Finally back again in its original Greek, it is published first in queenly Basel, then in stately Oxford. The latest edition in Greek is from Leipsic's learned presses.
Download or read book Euclid s Parallel Postulate written by John Withers and published by Createspace Independent Publishing Platform. This book was released on 2017-01-25 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the PREFACE. The parallel postulate is the only distinctive characteristic of Euclid. To pronounce upon its validity and general philosophical significance without endeavoring to know what Non-Euclideans have done would be an inexcusable blunder. For this reason I have given in the following pages what might otherwise seem to be an undue prominence to the historical aspect of my general problem. In the last chapter, the positions taken are only briefly defended, because they seem to flow directly and naturally from results previously won. I have included in the bibliography such works as are mentioned in the body of the thesis, and have not aimed at making a complete list. More complete biographies of Hyperspace and non-Euclidean Geometry are those of Halsted and Bonola, which I have mentioned in my list. My obligations not elsewhere explicitly acknowledged are chiefly to Professor Geo. T. Ladd, at whose suggestion this study was undertaken, and under whose sympathetic direction it has attained its present form. I am also indebted to Dr. E. B. Wilson for light upon certain mathematical aspects of the problem. New Haven, Connecticut, April, 1904.
Download or read book Geometrical Researches on the Theory of Parallels Classic Reprint written by Nicholaus Lobatschewsky and published by Forgotten Books. This book was released on 2017-10-22 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Geometrical Researches on the Theory of Parallels In a geometry occur the most noted set of axioms, the geometry of Euclid, a pure Greek, professor at the University of Alexandria. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
