Synopsis
The present volume consists of the first five books of the authors Elements of Geometry, or that portion which relates toP lane Geometry. While the book speaks for itself, we would call attention to some of its most important features. The Introduction presents in the shortest possible compass the general outlines of the science to be studied, and leads at once to the actual study itself. The definitions are distributed through the book as they are needed, instead of being grouped in long lists many pages in advance of the propositions to which they apply. An alphabetical index is added for easy reference. The constructions are also distributed, so that the student is taught how to make a figure at the same time that he is required to use it in demonstration. Extensive use has been made of natural and symmetrical methods of demonstration. Such methods are used for deducing the formula for the sum of the angles of a triangle, for the sum of the exterior and interior angles of a polygon, for parallel lines, for the theorems on regular polygons, and for similar figures. The theory of limits is treated with rigor, and not passed over as self-evident. Attention is also called to the theorems of proportion and the use of corollaries as exercises to supply the need of inventional geometry.
(Typographical errors above are due to OCR software and don't occur in the book.)
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Elements of Geometry, Vol. 1 (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book is the first part of the author's extensive exploration of the geometry of space, focusing on the plane. The author presents geometry as a science and a rigorous mathematical discipline, not simply a collection of isolated theorems. Geometry is the study of space, and this book lays out foundational concepts, axioms, and general theorems for the field. The author begins by defining concepts such as points, lines, surfaces, and solids that form the basis of this branch of mathematics. From these, the author dives into the study of figures created by straight lines, defining angles, perpendicular lines, circles, and more, as well as exploring relationships between different figures. The author presents the material in a logical progression, introducing postulates and theorems that build upon the concepts and constructions previously covered. Questions are provided throughout to guide readers through the learning process and encourage independent exploration. Constructions are introduced in parallel with the theoretical material, allowing readers to apply their knowledge in practice. This book is an excellent resource for students learning plane geometry or mathematicians looking to brush up on the fundamentals of the subject. It is also a valuable resource for educators looking to present geometry as a connected and logical discipline. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781440053344_0
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Elements of Geometry, Vol 1 Classic Reprint
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781440053344
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Elements of Geometry, Vol 1 Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781440053344
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Elements of Geometry: Part One-Plane Geometry (Classic Reprint)
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Paperback. Etat : Brand New. 268 pages. 9.00x6.00x0.61 inches. This item is printed on demand. N° de réf. du vendeur zk1440053340
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