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OF

GEOMETRY:

CONTAINING

THE FIEST SIX BOOKS OF EUCLID,

TTH A

SUPPLEMENT :

ON THE

QUADRATURE OF THE CIRCLE AND THE

GEOMETRY OF SOLIDS;

TO WHICH ARE ADDED

ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY

BY

JOHN PLAYFAIR, F.R.S. LOND. SEDN.
PROFESSOR OF NATURAL PHILOSOPHY, POZMĚRLY OF MATKÉMATICA,

IN THE UNIVERSITI QF EDIN IYRGY.

FROM THE LAST LONDON EDITION, ENLARGED,

NEW-YORK:

PUBLISHED BY JAMES EASTBURN AND CO.
AT THE LITERARY ROOMS, BROADWAY.

G. Long, Printer.

1819.

WM

PUBLIC LIBRARY 282704

ASTOR, LENOX AND
IL FOUNDAI ONS.

1 903

PREFACE.

: It is a remarkable fact in the history of science, that

the oldest book of Elementary Geometry is still con

sidered as the best, and that the writings of EUCLID, į at the distance of two thousand years, continue to

form the most approved introduction to the mathematical sciences. This remarkable distinction the Greek Geometer owes not only to the elegance and correctness of his demonstrations, but to an arrangement most happily contrived for the purpose of instruction, -advantages which, when they reach a certain eminence, secure the works of an author against the injuries of time, more effectually than even originality of invention. The elements of EUCLID, however, in passing through the hands of the ancient editors, during the decline of science, had suffered some diminution of their excellence, and much skill and learning have been employed by the modern mathematicians to deliver them from blemishes, which certainly did not enter into their original composition. Of these

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