The Theory Of Parallels
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Geometrical Researches On The Theory Of Parallels
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Author : Nicholas Lobachevsky
language : en
Publisher: Cosimo, Inc.
Release Date : 2007-05-01
Geometrical Researches On The Theory Of Parallels written by Nicholas Lobachevsky and has been published by Cosimo, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-01 with Literary Collections categories.
"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)."
The Theory Of Parallels
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Author : Nicholas Lobachevski
language : en
Publisher: Watchmaker Pub
Release Date : 2010-04
The Theory Of Parallels written by Nicholas Lobachevski and has been published by Watchmaker Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04 with Mathematics categories.
"What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevski to Euclid." Lobachevski was the first to publish non-Euclidean geometry. An unabridged printing, to include all figures, from the translation by Halsted.
Geometrical Researches On The Theory Of Parallels
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Author : Nicholas Lobachevski
language : en
Publisher: Literary Licensing, LLC
Release Date : 2014-08-07
Geometrical Researches On The Theory Of Parallels written by Nicholas Lobachevski and has been published by Literary Licensing, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-07 with categories.
This Is A New Release Of The Original 1914 Edition.
Theory Of Parallels
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Author : Nikolaj Ivanovič Lobačevskij
language : en
Publisher: Independently Published
Release Date : 2019-05-22
Theory Of Parallels written by Nikolaj Ivanovič Lobačevskij and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-22 with categories.
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.
Geometrical Researches On The Theory Of Parallels
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Author : Nicholas Lobachevski
language : en
Publisher: Forgotten Books
Release Date : 2015-06-26
Geometrical Researches On The Theory Of Parallels written by Nicholas Lobachevski and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-26 with Mathematics categories.
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.
Geometrical Researches On The Theory Of Parallels
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Author : Nikolaĭ Ivanovich Lobachevskiĭ
language : fr
Publisher:
Release Date : 1891
Geometrical Researches On The Theory Of Parallels written by Nikolaĭ Ivanovich Lobachevskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with Geometry, Non-Euclidean categories.
A New Theory Of Parallels
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Author : Charles Lutwidge Dodgson
language : en
Publisher:
Release Date : 1890
A New Theory Of Parallels written by Charles Lutwidge Dodgson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1890 with Mathematics categories.
A New Theory Of Parallels
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Author : Lewis Carroll
language : en
Publisher:
Release Date : 1895
A New Theory Of Parallels written by Lewis Carroll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Mathematics categories.
Curiosa Mathematica Part 1
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Author : Charles Lutwidge Dodgson
language : en
Publisher:
Release Date : 2008-06
Curiosa Mathematica Part 1 written by Charles Lutwidge Dodgson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06 with categories.
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.
Geometrical Researches On The Theory Of Parallels Classic Reprint
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Author : Nicholaus Lobatschewsky
language : en
Publisher: Forgotten Books
Release Date : 2017-10-22
Geometrical Researches On The Theory Of Parallels Classic Reprint written by Nicholaus Lobatschewsky and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-22 with Mathematics categories.
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.