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phy, History, Literature, and Mythology of the Ancients. Revised,
John D. Ogilby. 8vo.
Frederick William Doring; with Notes and Illustrations, partly trans-
D. Ogilby. 12mo.
modern Pronunciation of the Latin Language ; together with Obser-
tions. By David Patterson, A. M. 12mo.
burgh Stereotype Edition ; revised and corrected by A. R. Carson,
A. M. 12mo.
Notes, and an Index of Proper Names. By David Patterson, Ă. M.
land : with Notes by Christian, Chitty, Lee, Hovenden, and Ryland.
a Member of the New-York bar. 2 vols. 8vo.
including Translations of the Edinburgh, London, and Dublin Phar-
macopeias. With Notes and Additions, by John B. Beck, M. D. 8vo.
John B. Beck, M. D. 8vo.
by G. J. M. de Lys, M. D. With Notes and a copious Appendix, by
James Copland, M. D. 8vo.
Croxall, D. D. Embellished with a print before each Fable. 18mo.
use of Schools : with 16 elegant copper-plates. By John D. Godman,
In Press.—ADAM’S ROMAN ANTIQUITIES: a new Edition, from
a late English Copy, illustrated with upwards of 100 Engravings on
TICS, complete in one large 8vo. volume; entirely remodelled by Pro-
G E O M E T RY:
THE FIRST SIX BOOKS OF EUCLID,
QUADRATURE OF THE CIRCLE, AND THE
GEOMETRY OF SOLIDS:
TO WHICH ARE ADDED,
ELEMENTS OF PLANE AND SPHERICAL
JOHN PLAYFAIR, F.R.S. Lond. & Edin.
UNIVERSITY OF EDINBURGH.
A NEW EDITION, ENTIRELY REMODELLEN,
BY JAMES RYAN,
GRAMMAR OF ASTRONOMY, &c.
W. E. DEAN, PRINTER AND PUBLISHER, No. 2 ANN-STREET,
B. & s. COLLINS, AND N. & J. WHITE.
Entered according to the Act of Congress, in the year One Thousand
Eight Hundred and Thirty-five, by W. E. DEAN, in the Clerk's Office of the Southern District of New-York.
In offering to the American Public a new edition of Professor PLAYFAIR's Elements of Geometry, it may not be improper to enumerate a few of the considerable alterations, and, it is hoped, the important improvements, made in a work which has acquired great and just celebrity, not only in Europe, but also in the United States, since its republication in this country.
The alterations made are chiefly in the First and Third Books; the arrangement of those Books is similar to that of LEGENDRE, in his Elements of Geometry and Trigonometry.
As the properties of the sections of straight lines are easily derived from Algebra, the demonstrations of the principal propositions in the Second Book are expressed Algebraically, by way of Scholium, to each proposition.
Several Theorems, Lemmas, Corollaries, and Scholiums, are interspersed throughout the whole work, not contained in any previous edition.
A few useful Problems, especially in Surveying, are also added to the Sixth Book; so that this edition of PLAYFAIR'S Geometry, it is presumed, will be found better adapted for the instruction of youth in the Elements of Geometry, according to the present, state of Science, than any that has as yet been published.
New-York, January 1st, 1835.