Elements of Projective Geometry (Classic Reprint) - Softcover

Inhaltsangabe

A mplissima et pulcherrima scientia figurarum. At quam est inepte sortita nomen Geometrise !N icod. Frischlinus, Dialog. I. Perspective methodus, qu nee inter inventas nee inter inventu possibiles ulla compendiosior 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 toE uclid (285 B.C.), to Apollonius of Perga (247 B.C.), toP appus of Alexandria (4th century after Christ); toD esargues of Lyons (1593-1662); toP ascal (1623-1662); toD ela Hire (1640-1718); toN ewton (1642-1727); toM aclaurin (1698-1746); to J. H. Lambert (1728-1777), 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. I prefer With the consent of the A uthor, only such part of the preface to the original Italian edition (t 872) is here reproduced as may be of interest to theE nglish reader.
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