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APPLIED TO THE

MENSURATION

OP

LINES, SURFACES, SOLIDS,

HEIGHTS AND DISTANCES.

BY B. FRANKLIN CALLENDER,
Late Master of the Mathematical Department, Wells School, Boston.

"In His hand,
He took the golden compasses,
Prepared to circumscribe this universe
And all created things :
One foot he centred, and the other turn'd
Round through the vast profundity obscure;
And said, "Thus far extend, thus far thy bounds,
This be thy just circumference, O! World.'"-MILTON.

NEW YORK:

CHARLES S. FRANCIS-252 Broadway.

1836.

13457 1176,52.19

& istoire

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Entered according to Act of Congress, in the year 1836, by

B. FRANKLIN CALLENDER, In the Clerk's office of the District Court of Massachusetts.

PREF A CE.

A few years ago, the author of the following work instructed a class of young men in Geometry and Mensuration. At that time, no suitable text book could be found of a sufficiently practical character to meet the wants of either the instructer or pupils in this branch of mathematics; and the only alternative was to use the best which could be procured, and supply the deficiency by preparing a written manuscript. That manuscript forms the foundation of the present treatise. Contributions have, from time to time, been made to the work, till the last year, during which it has received the almost exclusive attention of its author. At the urgent solicitation of several gentlemen who have examined the work, it is now presented to the public, with the belief that it will supply a want which has long been experienced ; the want of a work containing a familiar illustration of the principles of Geometry, with a practical application of them to the Mensuration of lines, surfaces, and solids ; and the general adaptation of the whole to the common purposes and business of life. Such has been the esign of the author in the following work. How far that object has been accomplished, those for whom it has been prepared must decide. Simplicity in arrangement, per

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