TRANSLATED INTO ENGLISH, FROM THE EDITION OF PEYRARD.

TO WHICH ARE ADDED,

| ALGEBRAIC DEMONSTRATIONS TO THE SECOND

AND FIFTH BOOKS;

ALSO,

DEDUCTIONS IN THE FIRST SIX, ELEVENTH, AND

TWELFTH BOOKS.

WITH

NOTES, CRITICAL AND EXPLANATORY.

BY GEORGE PHILLIPS,

QUEEN'S COLLEGE, CAMBRIDGB.

PART I. CONTAINING BOOK I-VI.

LONDON:
PRINTED FOR BALDWIN, CRADOCK, AND JOY,

1826.

185. g.6.

TO

OLINTHUS GREGORY, Esq. LL.D.

HONORARY MEMBER OF THE ACADEMY OF

SCIENCES OF DIJON,

OF THE LITERARY AND PHILOSOPHICAL SOCIETY

OF NEW YORK,

AND OF THE HISTORICAL SOCIETY OF THE

SAME PLACE ;

ONE OF THE COUNCIL OF THE ASTRONOMICAL SOCIETY,

OF LONDON, &c. &c.;
AND PROFESSOR OF MATHEMATICS IN THE ROYAL

MILITARY ACADEMY, WOOLWICH;

AS A PLEDGE OF ESTEEM FOR PAST KINDNESS

THIS EDITION OF

EUCLID'S ELEMENTS

IS DEDICATED BY:
HIS MOST OBLIGED
AND OBEDIENT SERVANT,

THE EDITOR.