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CCNTAINING TABLES AND FORMULE FOR USE IN SUPERFICIAL AND SOLID
MENSURATION: STRENGTH AND WEIGHT OF MATERIALS; MECHANICS ;
MACHINERY; HYDRAULICS, HYDRODYNAMICS; MARINE ENGINES,

CHEMISTRY, AND MISCELLANEOUS RECIPES.

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CONTAINING FORMULÆ FOR THE VARIOUS METHODS OF RUNNING AND CHANGING

LINES, LOCATING SIDE TRACKS AND SWITCHES, &C., &C.

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NATURAL SINES AND TANGENTS TO EVERY DEGREE

AND MINUTE OF THE QUADRANT,

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EDITED BY CHARI. ES W HACK LEY,

Professor of Mathematics in Columbia College, N. Y.

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W.

NEW YORK:
A. TOWNSEND AND COMPANY.

1 8 5 9.

42
In934859
HARVARD COLLECTION
MAY 3 1892
LIBRARY
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Entered according to the Act of Congress, in the year 1855, by

STRINGER & TOWNSEND,

In the Clerk's Office of the District Court of the United States for the Southern

District of New York.

R. CRAIGHEAD,
Stereotyper and Electrotyper,

63 Vesey Street, N. Y.

PREFACE.

No more useful little works have ever been presented to the public than the various pocket companions of a character analogous to that here offered. These have been a good deal, though not yet too much, multiplied of late; and where the formulas, rules, and tables which they contain have been skilfully framed under the guidance of scientific men, they have afforded to the Practical Engineer, Architect, and Mechanic, the most welcome aid in the constructions and computations which make part of their daily occupation, and which, without the ever-at-hand suggestions and directions of these unpretending little servants, might consume hours and days in the turning over of large volumes, or in painful investigations based on general principles of science where the indi vidual happened to be competent to conduct them.

The wants to be supplied in such a work are discovered by experience and observation in the different callings for which they are more especially intended. That these wants have not all been met in the works of a similar kind which have already appeared will be made evident by a simple inspection of the amount and variety of new matter contained in the present volume.

It is not every one, however practically expert he may be in his own pursuit, that is capable of arranging and digesting in the best manner the knowledge necessary for his own use which he may have been years in acquiring, so as to reu available for the use

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