Excerpt from Practical Geometry for the Architect, Engineer, Surveyor and Mechanic Fur the Far Aah, 1882 The fifth chapter is devoted to a large and important class of curves known as spirals. Some few of these can be drawn by continuous motion, ' but in all cases methods of finding points, ' and of drawing the curve through those points either by hand or by the compasses are carefully laid down; so that they can be as accurately drawn as is necessary in practice by aid of a drawing board, T square, set squares, and a scale of parts. On account of the frequent use of spirals in decorations, the author has been at considerable pains to make the delineation of them in great variety as easy as possible to those who have but small knowledge of mathematical science. 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.

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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 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. 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.

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.

Excerpt from Practical Geometry: For Builders and Architects The Science of Geometry, as its name suggests, is of great antiquity. The name, Geometry, is derived from two Greek roots, Ge the Earth, and Metron a measure, and it is clear that In the earliest period Of which we have any record Of the use of Geometry, it was used for Earth measurement, or Land-surveying, as we should now term it According to Greek historians Geometry originated in Egypt as early as 600 b.c., and was used for the measurement of land, or for readjusting the boundaries of the various provinces which had been inundated by the overflow of the Nile. Thales, who lived in Egypt from 639 b.c. To 548 b.c., taught his fellow-countrymen how to calculate the height of an Obelisk by measuring the length of its shadow. Pythagoras, Archimedes, and Euclid, carried on the study of certain branches of the Science, and much Of our more practical work in Geometry to-day is based upon the principles which they established in a somewhat abstract manner. 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.