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W. H. C. BARTLETT, LL. D.,

PROFESSOR OF NATURAL AND EXPERIMENTAL PHILOSOPHY IN THE UNITED
STATES MILITARY ACADEMY AT WEST POINT

AND

AUTHOR OF ELEMENTS OF SYNTHETICAL MECHANICS, ACOUSTICS,
OPTICS, AND SPHERICAL ASTRONOMY.

EIGHTH EDITION, REVISED, CORRECTED, AND ENLARGED,

NEW YORK:

A. S. BARNES & CO., 111 & 113 WILLIAM STREET,
(CORNER OF JOHN STREET.)

SOLD BY BOOKSELLERS, GENERALLY, THROUGHOUT THE UNITED STATES,

Entered according to Act of Congress, in the year One Thousand

Eight Hundred and Fifty-eight,

By W. H. C. BARTLETT,

In the Clerk's Office of the District Court of the United States for the Southern District of New-York.

a. w. WOOD, Printer, John-street, cor. Dutch.

TO

COLONEL SYLVANUS THAYER,

OF THE CORPS OF ENGINEERS, AND LATE SUPERINTENDENT OF THE

UNITED STATES MILITARY ACADEMY,

This Work

IS MOST RESPECTFULLY AND AFFECTIONATELY DEDICATED,

IN GRATITUDE FOR THE PRIVILEGES

ITS AUTHOR WAS ENJOYED UNDER A SYSTEM OF INSTRUCTION

AND GOVERNMENT WHICH GAVE VITALITY TO

THE ACADEMY,

AND OF WHICH HE IS THE FATHER,

*

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