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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. 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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9781330202722

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