Introduzione Ad Una Teoria Geometrica Delle Curve Piane Classic Reprint

Author : London Mathematical Society
Publisher : Forgotten Books
ISBN 13 : 9780265533697
Total Pages : 546 pages
Book Rating : 4.5/5 (336 download)

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Download or read book Proceedings of the London Mathematical Society, 1904, Vol. 1 (Classic Reprint) written by London Mathematical Society and published by Forgotten Books. This book was released on 2017-10-20 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Proceedings of the London Mathematical Society, 1904, Vol. 1 But the work in which Cremona displayed most brilliantly his great intellectual powers and his artistic temperament, and his wide and profound knowledge of geometry, is the Introduzione ad una teoria geometrica delle curve piane, published in 1862 (mem. Acc. Bologna, xn. Afterwards translated into German by Curtze and into Czech by Weyr. In 1852 had appeared the first edition of the celebrated book by Salmon setting forth the theory of plane curves, treated by methods very various in character, but in the main analytical and connected with the theory of invariants of algebraic forms. The object which Cremona proposed to himself in his treatise, on the other hand, was to prove all the known results (in particular the very important ones which had merely been enunciated by Steiner) and new ones in addition, making use of pure geometry only. It may perhaps be said that the title of pure geometry in this connexion is not an absolutely correct one; for the geometrical method followed by him, though it proceeds synthetically in every case, nevertheless postulates certain fundamental algebraic theorems, whereas the name of pure geometry is usually given only to a geometric structure which is entirely independent of algebra (staudt, Kotter, De Paolis, The book in question, the slight defects in which were to some extent amended in a paper subsequently published (annali di Matem., VI. Enriched the theory of polar curves with new properties, and from it was derived the greater part of what was then known of the projective geometry of plane curves, and in particular of those of the third degree. It was a work of fundamental importance which admirably furthered the end which its author had at heart - that, namely, of spreading in Italy the love for speculations of rational 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.