Chasles and the Projective Geometry

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Publisher : Springer Nature
ISBN 13 : 3031542665
Total Pages : 576 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Chasles and the Projective Geometry by : Paolo Bussotti

Download or read book Chasles and the Projective Geometry written by Paolo Bussotti and published by Springer Nature. This book was released on with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Worlds Out of Nothing

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Publisher : Springer Science & Business Media
ISBN 13 : 0857290606
Total Pages : 390 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Worlds Out of Nothing by : Jeremy Gray

Download or read book Worlds Out of Nothing written by Jeremy Gray and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.

Elements of Projective Geometry

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Author :
Publisher : Forgotten Books
ISBN 13 : 9781440089213
Total Pages : 416 pages
Book Rating : 4.0/5 (892 download)

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Book Synopsis Elements of Projective Geometry by : Luigi Cremona

Download or read book Elements of Projective Geometry written by Luigi Cremona and published by Forgotten Books. This book was released on 2015-06-25 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Projective Geometry: Translated by Charles Leudesdorf This book is not intended for those whose high mission it is to advance the progress of science; they would find in it nothing new, neither as regards principles, nor as regards methods. The propositions are all old; in fact, not a few of them owe their origin to mathematicians of the most remote antiquity. They may be traced back to Euclid (285 B.C.), to Apollonius of Perga (347 B.C.), to Pappus of Alexandria (4th century after Christ); to Desargues of Lyons (1593 - 1662); to Pascal (1633 - 1662); to De la Hire (1640 - 1718); to Newton (1642 - 1727); to Maclaurin (1698 - 1746); to J. H. Lambert (1738 - 1777), &c. The theories and methods which make of these propositions a homogeneous and harmonious whole it is usual to call modern, because they have been discovered or perfected by mathematicians of an age nearer to ours, such as Carnot, Brianchon, Poncelet, Mobius, Steiner, Chasles, Staudt, etc.; whose works were published in the earlier half of the present century. Various names have been given to this subject of which we are about to develop the fundamental principles. 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.

Projective Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387406237
Total Pages : 180 pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis Projective Geometry by : H.S.M. Coxeter

Download or read book Projective Geometry written by H.S.M. Coxeter and published by Springer Science & Business Media. This book was released on 2003-10-09 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, respectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.

The Methods of Plane Projective Geometry Based on the Use of General Homogeneous Coordinates

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Author :
Publisher : CUP Archive
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Methods of Plane Projective Geometry Based on the Use of General Homogeneous Coordinates by : Edwin Arthur Maxwell

Download or read book The Methods of Plane Projective Geometry Based on the Use of General Homogeneous Coordinates written by Edwin Arthur Maxwell and published by CUP Archive. This book was released on 1963 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Projective Geometry

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Elements of Projective Geometry by : Luigi Cremona

Download or read book Elements of Projective Geometry written by Luigi Cremona and published by . This book was released on 1885 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Projective Geometry

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Author :
Publisher : Forgotten Books
ISBN 13 : 9781528253093
Total Pages : 370 pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis Elements of Projective Geometry by : Luigi Cremona

Download or read book Elements of Projective Geometry written by Luigi Cremona and published by Forgotten Books. This book was released on 2017-09-13 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Projective Geometry: Translated by Charles Leudesdorf Chapter VIII. Harmonic forms. Fundamental theorem (arts. 46, 49) Harmonic forms are projective (47, 48, 50, 51) Elementary properties (52 - 57) Constructions (5 8 - 60) 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.

Elements of Projective Geometry

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Author :
Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Elements of Projective Geometry by : Luigi Cremona

Download or read book Elements of Projective Geometry written by Luigi Cremona and published by . This book was released on 1960 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Here to Infinity

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Author :
Publisher : Springer
ISBN 13 : 9783031725845
Total Pages : 0 pages
Book Rating : 4.7/5 (258 download)

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Book Synopsis From Here to Infinity by : Andrea Del Centina

Download or read book From Here to Infinity written by Andrea Del Centina and published by Springer. This book was released on 2024-12-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph traces the development of projective geometry from its Greek origins to the early 20th century. It covers Renaissance perspective studies and insights from the late sixteenth to seventeenth centuries, examining the contributions of Desargues and Pascal. Most of the book is devoted to the evolution of the subject in the 19th century, from Carnot to von Staudt. In particular, the book offers an unusually thorough appreciation of Brianchon's work, a detailed study of Poncelet's innovations, and a remarkable account of the contributions of Möbius and Plücker. It also addresses the difficult question of the historical relationship between synthetic and analytic points of view in geometry, analyzing the work of prominent synthetic geometers Steiner, Chasles, and von Staudt in detail. The book concludes around 1930, after the synthetic point of view was axiomatized and the analytic point of view became intertwined with algebraic geometry. Balancing historical analysis with technical precision and providing deep insights into the evolution of the mathematics, this richly illustrated book serves as a central reference on the history of projective geometry.

Quaternions and Projective Geometry

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Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Quaternions and Projective Geometry by : Charles Jasper Joly

Download or read book Quaternions and Projective Geometry written by Charles Jasper Joly and published by . This book was released on 1903 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Projective Geometry

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486141705
Total Pages : 578 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Projective Geometry by : C. R. Wylie

Download or read book Introduction to Projective Geometry written by C. R. Wylie and published by Courier Corporation. This book was released on 2011-09-12 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.

An Introduction to Projective Geometry and Its Applications

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Publisher :
ISBN 13 :
Total Pages : 281 pages
Book Rating : 4.L/5 ( download)

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Book Synopsis An Introduction to Projective Geometry and Its Applications by : Arnold Emch

Download or read book An Introduction to Projective Geometry and Its Applications written by Arnold Emch and published by . This book was released on 1905 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Projective Geometry. Translated by Charles Leudesdorf - Scholar's Choice Edition

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Author :
Publisher :
ISBN 13 : 9781296399436
Total Pages : 336 pages
Book Rating : 4.3/5 (994 download)

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Book Synopsis Elements of Projective Geometry. Translated by Charles Leudesdorf - Scholar's Choice Edition by : Luigi Cremona

Download or read book Elements of Projective Geometry. Translated by Charles Leudesdorf - Scholar's Choice Edition written by Luigi Cremona and published by . This book was released on 2015-02-19 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Elements of Projective Geometry, by Luigi Cremona, Tr. by Charles Leudesdorf

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Publisher :
ISBN 13 : 9781418166878
Total Pages : pages
Book Rating : 4.1/5 (668 download)

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Book Synopsis Elements of Projective Geometry, by Luigi Cremona, Tr. by Charles Leudesdorf by : Luigi Cremona

Download or read book Elements of Projective Geometry, by Luigi Cremona, Tr. by Charles Leudesdorf written by Luigi Cremona and published by . This book was released on 2004-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Projective Geometry

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Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Projective Geometry by : Oswald Veblen

Download or read book Projective Geometry written by Oswald Veblen and published by . This book was released on 1910 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Projective Geometry

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Publisher : Moulton Press
ISBN 13 : 1406719048
Total Pages : 308 pages
Book Rating : 4.4/5 (67 download)

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Book Synopsis An Introduction to Projective Geometry by : O'Hara C.W.

Download or read book An Introduction to Projective Geometry written by O'Hara C.W. and published by Moulton Press. This book was released on 2007-03 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: PREFACE. THE Author of this very practical treatise on Scotch Loch - Fishing desires clearly that it may be of use to all who had it. He does not pretend to have written anything new, but to have attempted to put what he has to say in as readable a form as possible. Everything in the way of the history and habits of fish has been studiously avoided, and technicalities have been used as sparingly as possible. The writing of this book has afforded him pleasure in his leisure moments, and that pleasure would be much increased if he knew that the perusal of it would create any bond of sympathy between himself and the angling community in general. This section is interleaved with blank shects for the readers notes. The Author need hardly say that any suggestions addressed to the case of the publishers, will meet with consideration in a future edition. We do not pretend to write or enlarge upon a new subject. Much has been said and written-and well said and written too on the art of fishing but loch-fishing has been rather looked upon as a second-rate performance, and to dispel this idea is one of the objects for which this present treatise has been written. Far be it from us to say anything against fishing, lawfully practised in any form but many pent up in our large towns will bear us out when me say that, on the whole, a days loch-fishing is the most convenient. One great matter is, that the loch-fisher is depend- ent on nothing but enough wind to curl the water, -and on a large loch it is very seldom that a dead calm prevails all day, -and can make his arrangements for a day, weeks beforehand whereas the stream- fisher is dependent for a good take on the state of the water and however pleasant and easy it may be for one living near the banks of a good trout stream or river, it is quite another matter to arrange for a days river-fishing, if one is looking forward to a holiday at a date some weeks ahead. Providence may favour the expectant angler with a good day, and the water in order but experience has taught most of us that the good days are in the minority, and that, as is the case with our rapid running streams, -such as many of our northern streams are, -the water is either too large or too small, unless, as previously remarked, you live near at hand, and can catch it at its best. A common belief in regard to loch-fishing is, that the tyro and the experienced angler have nearly the same chance in fishing, -the one from the stern and the other from the bow of the same boat. Of all the absurd beliefs as to loch-fishing, this is one of the most absurd. Try it. Give the tyro either end of the boat he likes give him a cast of ally flies he may fancy, or even a cast similar to those which a crack may be using and if he catches one for every three the other has, he may consider himself very lucky. Of course there are lochs where the fish are not abundant, and a beginner may come across as many as an older fisher but we speak of lochs where there are fish to be caught, and where each has a fair chance. Again, it is said that the boatman has as much to do with catching trout in a loch as the angler. Well, we dont deny that. In an untried loch it is necessary to have the guidance of a good boatman but the same argument holds good as to stream-fishing...

Quaternions and Projective Geometry

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Author :
Publisher : Andesite Press
ISBN 13 : 9781296552633
Total Pages : 114 pages
Book Rating : 4.5/5 (526 download)

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Book Synopsis Quaternions and Projective Geometry by : Charles Jasper Joly

Download or read book Quaternions and Projective Geometry written by Charles Jasper Joly and published by Andesite Press. This book was released on 2015-08-08 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.