Elements Of Projective Geometry (1893) - Couverture rigide

Cremona, Luigi

Couverture rigide

ISBN 10 : 1164354655 ISBN 13 : 9781164354659

Editeur : Kessinger Publishing, 2010

Synopsis

Elements of Projective Geometry is a comprehensive textbook on the subject of projective geometry, written by the Italian mathematician Luigi Cremona and first published in 1893. Projective geometry is a branch of mathematics that deals with the properties of geometric figures and spaces that are invariant under projection, a process that maps points and lines in one space onto points and lines in another space. The book is divided into three parts, each of which covers a different aspect of projective geometry. The first part introduces the basic concepts and definitions of projective geometry, including projective transformations, the cross-ratio, and the duality principle. The second part focuses on the geometry of conics, including the classification of conics and the properties of tangents, poles, and polar lines. The third part covers the geometry of curves and surfaces, including the theory of ruled surfaces and the classification of cubic surfaces.Throughout the book, Cremona presents a rigorous and systematic approach to projective geometry, with numerous examples and exercises to help readers develop their understanding of the subject. The book also includes a detailed bibliography of works on projective geometry, making it a valuable resource for students and researchers in the field. Despite its age, Elements of Projective Geometry remains a classic text in the field and continues to be widely used and studied today.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. 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 their original work.

A propos du livre

Présentation de l'éditeur

A mplissima et pulcherrima scientia figurarum. At quam eat inepte sorfcita nomen Geometrise! NICOD. FBISCHLINUS, Dialog. I. Perspective methodus, qua nee inter inventas nee inter inventu poasibiles ulla eompendiosior esse videtur .. .B. PASCAL, Lit. ad A cad. Paris., 1654. Da veniam scriptis, quorum non gloria nobis Causa, sed utilitas officiumque fuit. OVID, ex Pont., iii. 9. 55. 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, noras 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 (385 B.C.), to APOLLONIUS of Perga (247 B. c.), to PAPPUS of Alexandria (4th century after Christ); to DESAKGUES of Lyons (1593-1663); to PASCAL (1623-1662); to DE LA HIKE (1640-1718); to NEWTON (1642-1727); to MACLAUEIN (1698-1746); to J. H. LAMBEET (1728-1777), Sec. 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 CAENOT, BEIANOHON, PONCELET, MOBIUS, STEIHEE, CHASLES, STAUDT, c.; 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. I prefer With the consent of the A uthor, only such part of the preface to the original Italian edition (1872) is here reproduced as may be of interest to theE nglish reader.
(Typographical errors above are due to OCR software and don't occur in the book.)

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Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

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Présentation de l'éditeur

Originally published in 1893. This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies. All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume.

Détails de l'édition

• Éditeur: Kessinger Publishing
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 1164354655
• ISBN 13: 9781164354659
• Reliure: Relié
• Nombre de pages: 336
• Coordonnées du fabricant: non disponible
• Personne responsable: KreGa Onlinehandel GmbH; 4950000000000; info@krega-onlinehandel.de; ; Birkenweg 31; Brakel; 33034; Allemagne