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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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.
Excerpt from Metrical Geometry: An Elementary Treatise on Mensuration
This book is primarily the outcome of work on the subject while teaching it to large classes.
The competent critic may recognize signs of a Berlin residence; but a considerable part, it is believed, is entirely new.
Special mention must be made of the book's indebtedness to Dr. J. W. Davis, a classmate with me at Columbia School of Mines; also to Prof. G. A. Wentworth, who has kindly looked over the proofs. But if the book be found especially accurate, this is due to the pains taking care of my friend H. B. Fine, Fellow of Princeton.
Any corrections or suggestions relating to the work will be thank fully received.
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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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781330202722_0
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