Euclidis.

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 OF LONDON.

BY THE

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., HON. 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.

ΤΟ

THE COUNCIL

OF

THE UNIVERSITY OF LONDON,

THIS WORK

IS RESPECTFULLY INSCRIBED

BY

THEIR OBEDIENT SERVANT,

THE AUTHOR.

Appendix I. Essay on the Geometrical Analysis .

Appendix II. On the Theory of Parallel Lines

297

316