THE

FIRST SIX BOOKS

OF

THE ELEMENTS OF EUCLID,

WITH

A COMMENTARY AND GEOMETRICAL EXERCISES.

TO WHICH ARE ANNEXED

A TREATISE ON SOLID GEOMETRY,

AND A SHORT ESSAY

ON

THE ANCIENT GEOMETRICAL ANALYSIS.

FOR THE USE OF STUDENTS IN AND PREPARING FOR THE UNIVERSITY

Rev. DIONYSIUS LARDNER, LL.D., F.R.S. L. & E. PROFESSOR OF NATURAL PHILOSOPHY AND ASTRONOMY IN THE UNIVERSITY

OF LONDON, M.R.I.A., H F.C.P.S., F. ASTR. SOC. LON. ETC.

LONDON:

PRINTED FOR JOHN TAYLOR,

30, UPPER GOWER STREET,
Bookseller and Publisher to the University :

AND SOLD BY
JAMES DUNCAN, PATERNOSTER ROW; J. A. HESSEY, FLEET STREET ;

HATCHARD AND SON, PICCADILLY ;
DEIGHTONS, CAMBRIDGE; AND PARKER, OXFORD.

MDCCCXXVIII.

و كه ر ام تو باشی و در را باز .

TO

THE COUNCIL

OF

THE UNIVERSITY OF LONDON,

THIS WORK

IS RESPECTFULLY INSCRIBED

BY

THEIR OBEDIENT SERVANT,

THE AUTHOR.

297

Appendix I. Essay on the Geometrical Analysis .

Appendix II. On the Theory of Parallel Lines

316