Synopsis
This book delves into the fascinating world of geometry, exploring its origins, key concepts, and foundational principles. The author traces the development of geometry back to its roots in ancient Greece, highlighting the groundbreaking work of Euclid and other prominent mathematicians. This journey through time reveals the elegance and precision of Greek geometric demonstrations, which have served as models for centuries. The book then examines the evolution of geometric thought, detailing how mathematicians from various eras have refined and expanded upon the foundational principles laid down by Euclid. Readers will encounter key figures like Commandino, Vieta, Viviani, and Simpson, whose contributions have shaped the discipline. The author further explores the thematic depth of geometry by contrasting different approaches, comparing the deductive methods of Clairaut and Legendre, and drawing attention to the importance of geometric reasoning as a complement to more analytical approaches to mathematics. The book underscores the enduring relevance of geometry, showcasing its influence on education and its role in fostering rigorous thinking.
Présentation de l'éditeur
There are two methods of investigating the principles of Geometry. The only method known to the ancients was independent of the aid of A lgebra. This method has been so completely developed byE uclid, as to leave little room for improvement It is true, modern writers have arrived at many of his conclusions by more simple and concise methods; but, in so doing, they have, in most instances, sacrificed the rigor of logical demonstration, which so justly constitutes the great merit of his writings. While but little room is left for improving on the model of Euclid, the modern geometer, by bringing to his aid the principles of A lgebra, has greatly enriched the geometry of the ancients, by the discovery of many beautiful relations of magnitudes, which probably would never have been brought to light by the old method. In this work, which is after the model of Euclid, we have not strictly copied any one author, but have endeavored to select from all the sources within our reach, such parts as we deemed best adapted to our wants. In the solid geometry, or geometry of three dimensions, we have made free use of Peter Barlow sarrangement, as given in theE ncyclop edia Metrop ditcma; which, indeed, is but a slight modification of Legendre smethod. We have found, from experience in teaching, that, as a general thing, beginners in the study of geometry consider it as a dry, uninteresting science.
(Typographical errors above are due to OCR software and don't occur in the book.)
About the Publisher
Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
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