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TO THE KING,

THIS EDITION

OY

THE PRINCIPAL BOOKS

OF THE

ELEMENTS OF EUCLID,

AND OF THE

BOOK OF HIS DATA,

IS MOST HUMBLY DEDICATED

BY

HIS MAJESTY'S

MOST DUTIFUL,

AND MOST DEVOTED

ŞUBJECT AND SERVANT

ROBERT SIMSON,

1

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 UNIVBRSITY

OF GLASGOW.

TO THIS EDITION ARE ALSO ANNEXED,

ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY.

PHILADELPHIA:

PUBLISHED BY MATHEW CAREY,
AND SOLD BY J. CONRAD & co. 3. F. BRADFORD, BIRCH & SMALL,

AND SAMUEL ETHERIDGE.
PRINTED BY T. & G. PALMER, 116, HIGH-STRLET.

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