Synopsis
This book is a comprehensive and rigorous introduction to the fundamental principles and theorems of Euclidean geometry. Through its concise language and accessible presentation, the book guides readers through the development of mathematical concepts from the basic definitions of points, lines, and angles, to advanced topics such as circle theorems and mensuration. The author's clear explanations, coupled with numerous illustrations and well-organized proofs, make this book an invaluable resource for students, educators, and anyone interested in deepening their understanding of geometry. Its enduring significance lies in providing a solid foundation for further exploration in mathematics and its applications.
Présentation de l'éditeur
In this text-book, compiled at the request of the publisliers, a rigid adherence to Kobert Simsou swell-known editions of Euclid s Elements has not been observed ;but no change has been made on Euclid ssequence of propositions, and comparatively little on his modes of proof. Here and there useful corollaries and converses have been inserted, and a few of Simsou sadditions have been omitted. Intimation of such insertions and omissions has been given, when it was deemed necessary, in the proper place. Several changes, mostly, now- ever, of arrangement, have been made on the definitions. By a slight alteration of the lettering or the construction oi the figure, an attempt has been made throughout, and particularly in the Second Book, to draw the attention of the reader to the analogy which exists between certain paiis oi propositions. By Euclid this analogy is well-nigh ignored. In the naming of both congruent and similar figures, care has been taken to write the letters which denote correspondiag points in a corresponding order. This is a matter of minor importance, but it does not deserve to be neglected, as is too often the case. The deductions or exercises appended to the various propositions (riders, as they are sometimes termed) have been intentionally made easy and, in the First Book, numerous. It is hoped that beginners, who have little confidence in their own reasoning power, will thereby be encouraged to do more than merely learn the text of Euclid.
(Typographical errors above are due to OCR software and don't occur in the book.)
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