THE

ELEMENTS OF EUCLID:

CONTAINING

THE FIRST SIX BOOKS AND THE FIRST TWENTY-

ONE PROPOSITIONS OF THE ELEVENTH BOOK,

(WITH THE PLANES SHADED),

FROM THE TEXT OF DR. SIMSON.

Cambridge:

T. STEVENSON;
LONDON: D. BOGUE, FLEET STREET.

MDCCCXLV.

CAMBRIDGE:

PRINTED BY METCALFE AND PALMER, TRINITY-STREET.

2

ADVERTISEMENT.

THE principal alteration which has been made in this edition of the Elements of Euclid after the text of Dr. Simson, is the division of the demonstrations by the manner of printing, so as to make the succession of their steps more easily apprehended. It is hoped that hereby much of the advantage will be secured which has been found to result from the use of a Symbolical Notation in this subject, without the compression of reasoning and departure from Geometrical strictness which in some editions on that principle have been considered objectionable.

CAMBRIDGE, January 1845.