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

George Bruce Halsted

ISBN 10: 1330202724 / ISBN 13: 9781330202722

Published by Forgotten Books, 2015

About this Item

Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Seller Inventory # 25834217/2

Bibliographic Details

• Title: Metrical Geometry : An Elementary Treatise on Mensuration (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2015
• Language: English
• ISBN 10: 1330202724
• ISBN 13: 9781330202722
• Binding: Soft cover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

About this title

Synopsis

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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