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A SYSTEM OF

12

PRACTICAL ARITHMETIC,

ADAPTED TO THE USE OF SCHOOLS;

CONTAINING

THE FUNDAMENTAL RULES,

AND THEIR APPLICATION TO

MERCANTILE, COTTON SPINNING, MANUFACTURING,
AND MECHANICAL CALCULATIONS.

ALSO COMPREHENDING

NUMEROUS RULES AND EXAMPLES

IN THE VARIOUS DEPARTMENTS OF

COTTON SPINNING AND MECHANICS;

USEFUL TO

COTTON SPINNERS, MILLWRIGHTS, ENGINEERS,
AND ARTISANS IN GENERAL.

CONTAINING CONSIDERABLY MORE INFORMATION UPON THOSE
SUBJECTS THAN HAS EVER BEFORE BEEN PUBLISHED
IN ANY TREATISE ON ARITHMETIC.

BY SAMUEL YOUNG.

DERBY:

Printed for the Author by

HENRY MOZLEY AND SONS;

AND SOLD IN LONDON BY COWIE AND CO. POULTRY;
AND IN MANCHESTER BY W. AND W. CLARKE.

Price Four Shillings and Sixpence.

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PREFACE.

THE improvements in Cotton-spinning, Manufacture and Mechanics, have long required a change of Questions in Arithmetic, so as to connect the latter with a general information of the principles of the former; divested of technical terms and abstract matter, which often more obstruct than forward the acquirements of the Student.

A youth leaving school, and entering upon either a Cottonspinning, Manufacturing or Mechanical situation, although a fair Arithmetician, often finds himself at a loss how to apply the Rules he has learned to the performance of Questions intimately connected with his employment; and few persons in either situation have the leisure, or the means of obtaining a Mathematical course of education, sufficient to enable them to study the more elaborate treatises on Mechanics.

The present Work has been compiled with a view to forward a general and practical information upon such subjects as are daily called for.

The elementary parts, Proportion, Fractions, Vulgar and Decimal, Partnership, Position, Progressions, Square and Cube Roots, are applied to Cotton-spinning, Manufacturing and Mechanical purposes.

The Rule for Proportion is that of Cause and Effect, and by it many apparently tedious Questions become easy; no distinction is made from Direct, Inverse, or Compound Proportion, the Rule of Cause and Effect rendering that distinction merely nominal, and Inverse Proportion is where four terms are given or implied to find a fifth.

In all cases the Rules are formed with as much brevity as is consistent with the nature of the Work: and it is presumed that the numerous Examples under each are so arranged as to convey systematic and very considerable practical informa

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