THE

ELEMENTS

OF

EUCLID;

VIZ.

THE FIRST SIX BOOKS,

TOGETHER WITH THE

ELEVENTH AND TWELFTH.

THE ERRORS BY WHICH THEON, OR OTHERS, HAVE LONG AGO

VITIATED THESE BOOKS, ARE CORRECTED,

AND SOME OF

EUCLID'S DEMONSTRATIONS ARE RESTORED.

ALSO THE BOOK OF

EUCLID'S DATA,

IN LIKE MANNER CORRECTED.

BY ROBERT SIMSON, M.D.

EMERITUS PROFESSOR OF MATHEMATICS IN THE UNIVERSITY

OF GLASGOW.

TO WHICH ARE ADDED,

THE ELEMENTS OF PLANE, AND SPHERICAL TRIGONO-
METRY; AND A TREATISE ON THE CONSTRUCTION

OF THE TRIGONOMETRICAL CANON.

ALSO

A CONCISE ACCOUNT OF LOGARITHMS,

BY THE REV. A. ROBERTSON, D.D. F.R.S.

SAVILIAN PROFESSOR OF ASTRONOMY IN THE UNIVERSITY OF OXFORD.

THE TWENTY-SECOND EDITION,

CAREFULLY REVISED AND CORRECTED.

LONDON:

J. COLLINGWOOD; C. AND J. RIVINGTON; J. NUNN; LONGMAN, REES, ORME,
BROWN, AND GREEN; T. CADELL; J. RICHARDSON; J. M. RICHARDSON; Ε.
WILLIAMS; HAMILTON, ADAMS, AND CO.; G. B. WHITTAKER; SHERWOOD,
GILBERT, AND PIPER; R. HUNTER; T. BAKER; AND DEIGHTON AND SONS,
CAMBRIDGE.

1827.

:

G. WOODFALL, ANGEL COURT, SKINNER STREET, LONDON.