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Metrical Geometry: An Elementary Treatise on Mensuration (Classic Reprint) - Softcover

 
9781330202722: Metrical Geometry: An Elementary Treatise on Mensuration (Classic Reprint)

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Excerpt from Metrical Geometry: An Elementary Treatise on Mensuration

Mensuration is that branch of mathematics Which has for its object the measurement Of geometrical magnitudes. It has been called, that branch Of applied geometry which gives rules for finding the length Of lines, the area Of sur~ faces, and the volume Of solids, from certain data Of lines and angles.

A Magnitude is anything Which can be conceived of as added to itself, or of Which we can form multiples.

The measurement Of a magnitude consists in finding how many times it contains another magnitude Of the same kind, taken as a unit of measure. Measurement, then, is the pro cess of ascertaining the ratio which one magnitude bears to some other chosen as the standard; and the measure of a magnitude is this ratio expressed in numbers. Hence, We must refer to some concrete standard, some actual Object, to give our measures their absolute meaning.

The concrete standard is arbitrary in point of theory, and its selection a question Of practical convenience.

A discrete aggregate, such as a pile of cannon-balls, or a number, has a natural unit, one of them.

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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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George Bruce Halsted
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ISBN 10: 1330202724 ISBN 13: 9781330202722
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Paperback. Condition: New. Print on Demand. This book systematically introduces readers to the field of mensuration, providing accessible methods for calculating the dimensions of lines, angles, and plane and solid figures. It is an ideal starting point for individuals just beginning their study as well as those who need a refresher to shore up their foundations. The author presents concepts using clear language and provides numerous diagrams and illustrative problems to aid understanding. Key topics covered include calculating line segments, measuring angles, and measuring the areas of rectangular, triangular, and circular figures, as well as the volumes of prisms, cylinders, and spheres. This book offers a structured and thorough introduction to mensuration, making it a valuable resource for students, engineers, and anyone else who needs to perform these calculations. 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. Seller Inventory # 9781330202722_0

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