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.

TO

THE COUNCIL

OF

THE UNIVERSITY OF LONDON,

THIS WORK

IS RESPECTFULLY INSCRIBED

BY

THEIR OBEDIENT SERVANT,

THE AUTHOR.

CONTENTS.

.....

PREFACE......................

Euclid's Elements, Book I. ......

– Book II.

- Book III.

– Book IV. ..

Book V. ......

Book VI. ........

Elements of Solid Geometry, Book I.......

- Book II. ......

- Book III ..........

– Book IV.

Appendix I. Essay on the Geometrical Analysis ..........

Appendix II. On the Theory of Parallel Lines ..........

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