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E L E M E N T S

OF

EU CL I D,

V I Z.

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 Deinonstrations are Restored.

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ROBERT SIMSON, M. D.
Emeritus Professor of Mathematics in the University of Glasgow.

TO THIS EDITION ARE ALSO ANNEXED,
ELEMENTS OF PLANE and SPHERICALTRIGONOMETRY.

GLASGOW :

PRINTED AND SOLD BY ANDREW FOULIS, PRINTER TO THE UNIVERSITY;
SULD ALSO BY NOGENT CROSS, NEAR THE COLLEGE ; JAMES
LUNCAN, DUNLOP AND WILSON, AND BY J. AND

W. SHAWS, BOOKSELLERS.

M.DCC.LXXXI.

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