PRINCIPLES, THEOREMS, RULES, AND TABLES,
IN VARIOUS DEPARTMENTS

OF

PURE AND MIXED MATHEMATICS,

WITH THEIR APPLICATION;

ESPECIALLY

TO THE PURSUITS OF SURVEYORS, ARCHITECTS, MECHANICS,
AND CIVIL ENGINEERS.

WITH NUMEROUS ENGRAVINGS.

BY

OLINTHUS GREGORY, LL.D., F.R.A.S.,

Corresponding Associate of the Academy of Dijon ; Honorary Member of the Literary and Philosophical Society of
New York; of the New York Historical Society; of the Literary and Philosophical, and the Antiquarian
Societies of Newcastle-upon-Tyne; of the Cambridge Philosophical Society; of the Institution
of Civil Engineers, &c. &c., and Professor of Mathematics in the Royal Military Academy.

FIRST AMERICAN FROM THE SECOND LONDON EDITION,
CORRECTED AND IMPROVED.

Only let men awake, and fix their eyes, one while on the nature of things, another while
on the application of them to the use and service of mankind."-Lord Bacon.

PHILADELPHIA:

E. L. CAREY AND A. HART, CHESNUT ST.

AND SOLD BY ALL THE PRINCIPAL BOOKSELLERS IN THE UNITED STATES.