Other editions of book First steps in geometry

Excerpt from First Steps in GeometryOne of the dimensions is called the length, another the breadth, and the third the thickness. The distance from top to bottom is also called the height, or the depth.Every body has three dimensions. If the dimensions differ in magnitude, the longest one is usually called the length.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.

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This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1901 Excerpt: ...a circumference are said to touch each other at the point of contact. Evidently all points of a tangent, except the point of contact, lie outside the circumference. THEOREMS 1. A tangent is perpendicular to the radius drawn to the point of contact. 2. The perpendicular to a radius at its extremity is a tangent to the circle. 3. The perpendicular to a tangent at the point of contact passes through the centre of the circle. EXERCISES 1. State the hypothesis and the conclusion in each of the Theorems 1, 2, and 3. 2. Describe a circle, and then draw through a point on the circumference a tangent to the circle. 3. If tangents are drawn through the ends of a diameter of a circle, what is their position with respect to each other? 70. Two Tangents. The figure PAOB (Fig. 118) formed by two tangents PA, PB, drawn from an exterior point P to the circle whose centre is O, and the radii OA, OB, drawn to the points of contact, is a bi-symmetric figure with respect to the straight line PO, which joins P to the centre. Hence, PA = PB, and PO bisects the angle APB. THEOREMS 1. Two tangents drawn from an exterior point to a circle are equal. 2. Two tangents from an exterior point make equal angles with the straight line which joins th« exterior point to the centre of the circle. EXERCISES 1. What are the values of the angles PA O and PBO (Fig. 118)? 2. What is the sum of the angles APO anil AOP1 3. If APB = 00, what kind of a figure is APBO1 4. Describe a circle, and then draw tangents to the circle through a point P outside the circumference (Fig. 119). Upon PO as diameter, describe a circle cutting the given circle at the points A and B. Draw the straight lines PA and PB. 5. Draw two tangents to a circle making an angle of 00. 71. Railroad Curves. In laying out a rai...

Lang:- eng, Pages 164. Reprinted in 2015 with the help of original edition published long back[1901]. This book is in black & white, Hardcover, sewing binding for longer life with Matt laminated multi-Colour Dust Cover, Printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, there may be some pages which are blur or missing or black spots. If it is multi volume set, then it is only single volume. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. (Customisation is possible). Hope you will like it and give your comments and suggestions. Original Title: First steps in geometry 1901 [Hardcover], Original Author: G. A. Wentworth G. A. Hill

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

{Size: 13.34 x 21.59 cms} Lang: - English, Pages 164. Reprinted in 2015 with the help of original edition published long back [1901]. This book is Printed in black & white, sewing binding for longer life with Matt laminated multi-Colour Soft Cover {HARDCOVER EDITION IS ALSO AVAILABLE}, Printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, we processed each page manually and make them readable but in some cases some pages which are blur or missing or black spots. If it is multi volume set, then it is only single volume, if you wish to order a specific or all the volumes you may contact us. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. (Any type of Customisation is possible). Hope you will like it and give your comments and suggestions.

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.