The

ELEMENTS

Geft of

OF

и

of Prose visheror in the unity

EOMETRY.
of Canvasthin

CONTAINING THF

To Properes College May 1554

PRINCIPAL PROPOSITIONS

IN THE

FIRST SIX, AND THE ELEVENTH AND
TWELFTH BOOKS

EUCL I D.

WITH NOTES CRITICAL AND EXPLANATORY.

By JOHN BONNY CASTLE,

OF THE ROYAL MILITARY ACADEMY, WOOLWICH.

THE THIRD EDITION.

LONDON:

PRINTED FOR J. JOHNSON, NO.72, ST. PAUL'S
CHURCH-YARD,

BY BYE AND LAW, ST. JOHN's-SQUARE, CLERKENWELL,

Of all the works of antiquity which have been tranfmitted to the prefent times, none are more univerfally and defervedly esteemed than the Elements of Geometry which go' under the name of EUCLID. In many other branches of fcience the moderns have far furpaffed their mafters; but, after a lapfe of more than two thousand years, this performance still maintains its original preeminence, and has even acquired additional celebrity from the fruitlefs attempts which have been made to establish a different fyftem.

It is, however, generally allowed, that the Elements, as they now ftand, are attended with many difficulties, which greatly retard the progrefs of learners, on their first entrance upon this ftudy, and prevent them from applying to other branches of knowledge, which, in the prefent advanced state of the fciences, are equally useful and im portant. Among other obftacles of this kind

bought from K.G. Booth BRIAN 75

2

1831e.461