Artículos relacionados a Elements of Geometry, Vol. 1 (Classic Reprint)
Sinopsis
Master the essentials of geometry with a clear, rigorous guide to space, shapes, and proofs.
This edition of Elements of Geometry, Volume 1 presents the core ideas behind geometric reasoning in a practical, student-friendly way. It builds from foundational concepts to theorems and constructions, offering a steady progression that supports independent learning and classroom use.
This book emphasizes how geometric truths are proven, how figures are formed, and how to apply rules of measurement and proportion. It blends formal definitions with concrete diagrams, helping readers see how ideas connect from simple lines to complex shapes, and from basic axioms to powerful results.- Learn the four fundamental concepts of geometry and the key axioms that underlie all reasoning.
- Explore figures formed by straight lines, circles, and polygons, with accessible explanations of proofs and theorems.
- Practice with a rich set of problems on construction, computation, and demonstration to build skill and confidence.
- See how ratios, proportions, and similarity drive many classic results, including the Pythagorean ideas and circle theorems.
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
Excerpt from Elements of Geometry, Vol. 1
The present volume consists of the first five books of the authors' Elements of Geometry, or that portion which relates to Plane 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 com pass 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.
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.
Reseña del editor
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.)
About the Publisher
Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Elements of Geometry, Vol. 1 (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
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Paperback. Condición: 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. Nº de ref. del artículo: 9781440053344_0
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Elements of Geometry, Vol 1 Classic Reprint
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440053344
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Elements of Geometry, Vol 1 Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440053344
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Elements of Geometry: Part One-Plane Geometry (Classic Reprint)
Impresión bajo demandaLibrería: Revaluation Books, Exeter, Reino Unido
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Paperback. Condición: Brand New. 268 pages. 9.00x6.00x0.61 inches. This item is printed on demand. Nº de ref. del artículo: zk1440053340
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