Download or read book Geometrical Researches on the Theory of Parallels Tr Fr the Original by G B Halsted written by Nikolaĭ Ivanovich Lobachevskiĭ and published by . This book was released on 1914 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrical Researches on the Theory of Parallels written by and published by . This book was released on 1914 with total page 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 CreateSpace. This book was released on 2014-09-12 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the TRANSLATOR'S PREFACE. 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 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 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 Playf air's form of it, has been considered as needing demonstration; and that Lobachevski 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 Geometrical Researches on the Theory of Parallels written by Nicholas Lobachevsky and published by . This book was released on 2018-11-19 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the TRANSLATOR'S PREFACE. 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 Geometrical Researches on the Theory of Parallels written by and published by . This book was released on 1892 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrical Researches on the Theory of Parallels Translated by George Bruce Halsted written by Nikolaĭ Īvanovīch Lobachevskiĭ and published by . This book was released on 1914 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrical Researches on the Theory of Parallels written by Nikolaĭ Ivanovich Lobachevskiĭ and published by . This book was released on 1891 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrical Researches on the Theory of Parallels Translated from the Original by George Bruce Halsted written by Nikolaĭ Ivanovich Lobachevskiĭ and published by . This book was released on 1891 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrical Researches on the Theory of Parallels written by George B. Halsted and published by Hansebooks. This book was released on 2020-02-05 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrical researches on the theory of parallels is an unchanged, high-quality reprint of the original edition of 1891. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres. As a publisher we focus on the preservation of historical literature. Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.
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.
Download or read book The Theory of Parallels written by Nicholas Lobachevski and published by Watchmaker Pub. This book was released on 2010-04 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Geometrical Research on the Theory of Parallels written by Nikolaj Ivanovics Lobacsevszkij and published by Council of the Assoc. for the. This book was released on 1892 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Monthly Bulletin written by St. Louis Public Library and published by . This book was released on 1921 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Geometrical Researches on the Theory of Parallels written by Nikolai͏̈ Ivanovitch Lobatchevski and published by . This book was released on 1955 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Monthly Bulletin New Series written by St. Louis Public Library and published by . This book was released on 1920 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:
