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Most of the Classical and Mathematical works have undergone a perfect

revision, and have been Stereotyped to ensure correctness.

RYAN'S ALGEBRA, Theoretical and Practical : adapted

to the instruction of youth in Schools and Academies; 10 which is added an Appendix, containing an Algebraic method of demonstrating the propositions in the fifth book of Euclid's elements, according to the text and

arrangement in Simson's edition. 12mo. Corrected and improved. BONNYCASTLE'S ALGEBRA: with Notes and Observa.

tions, designed for the use of Schools. To which is added, an Appendix on the Application of Algebra to Geometry. By James Ryan.

12mo. KEY TO BONNYCASTLE'S ALGEBRA: containing

correct Solutions of all the Questions. By James Ryan. 18mo. RYAN'S ASTRONOMY on an improved plan, in three

Books; systematically arranged and scientifically illustrated with several cuts and engravings, and adapted to the instruction of youth, in Schools

and Academies. 18mo. HUTTON'S MATHEMATICS ; for the use of Academies,

as well as private tuition; with many Corrections and Improvements,
by “linthus Gregory, LL. D. Also Additions by Robert Adrain,

LL. ). 2 vols. 8vo.
PLAYFAIR'S EUCLID: a New Edition, Revised and Re-

modelled; for the use of Schools and Colleges in the United States. By

James Ryan.
RECUEIL CHOISI de Traits Historiques et de Contes Mo.

raux : with the signification of Words in English at the bottom of
each page: for the use of Young Persons of both Sexes. By N.

Wanostrocht. 12mo.
LEVIZAC'S FRENCH GRAMMAR: revised and cor.

rected by Mr. Stephen Pasquier, M. A. With the Voltarian Ortho.

graphy, according to the Dictionary of the French Academy. 12mo. JACOBS' GREEK READER; with Improvements, Addi

tional Notes, and Corrections; also a copious Lexicon. By David

Patterson, A. M. 8vo.
COLLECTANEA GRÆCA MINORA ; with extensive

Eoglish Notes and a Lexicon. 8vo.
VALPY'S HOMER; for the use of Schools. With English

Notes. By John D. Ogilby. 8vo.
VALPY'S GREEK GRAMMAR; greatly enlarged and im-

proved, by Charles Anthon, L.L. D. 12mo.
LEMPRIERE'S CLASSICAL DICTIONARY ; contain-
ing the principal Names and Terms relating to the Geography, Topa-

A

graphy, History, Literature, and Mythology of the Ancients. Re-
vised, corrected, and arranged in a new form, by Lorenzo L. da Ponte

and John D. Ogilby. 8vo.
ADAM'S ROMAN ANTIQUITIES : or an Account of the

Manners and Customs of the Romans. Designed chiefly to illustrate
the Latin Classics, hy explaining Words and Phrases from the Rites
and Customs to which they refer. Hlustrated and enlarged by Lo-
renzo L. da Ponte, Professor of Italian Literature in the University

of the City of New-York.
LATIN READER; Parts I. & II. by Frederick Jacobs and

Frederick William Döring; with Notes and Illustrations, partly trans-
lated from the German and partly drawn from other sources. By

John D. Ogilby. 12mo.
ADAM’S LATIN GRAMMAR ; containing the ancient and

modern Pronunciation of the Latin Language; together with Obser-
vations on the Declinable Parts ot Speech, Rules for the Government
of the Subjunctive Mood, and various other Improvements and Cor-

rections. By David Patterson, A. M. 12mo.
MAIR’S INTRODUCTION to Latin Syntax : from the Edin-

burgh Stereotype Edition; revised and corrected by A. R. Carson
Rector of the High School of Edinburgh. To which is added, Co-
pious Exercises upon the Declinable Parts of Speech, and an Exem-
plification of the several Moods and Tenses. By David Patterson,

A. M. 12mo.
VIRGIL: with English Notes. By John D. Ogilby. 12mo,
CÆSAR’S COMMENTARIES : illustrated with English

Notes, and an Index of Proper Names. By David Patterson, A. M.

12mo
BLACKSTONE'S COMMENTARIES on the Laws of Eng-

land: with Notes by Christian, Chitty, Lee, Hovenden, and Ryland.
Also a Life of the Author: and References to American Cases. By a

Member of the New York bar. 2 vols. 8vo.
MURRAY'S MATERIA MEDICA AND PHARMACY,

including Translations of the Edinburgh, London, and Dublin Pharma-

copæias. With Notes and Additions, by John B. Beck, M. D. 8vo.
PARIS' PHARMACOLOGIA : with Notes and Additions,

by John B. Beck, M. D. 8vo.
RICHERAND'S PHYSIOLOGY: translated from the

French, by G. J. M. de Lys, M. D. With Notes and a copious Appea-

dix, hy James Copland, M. D. 8vo.
ÆSOP'S FABLES : with instructive Applications, by Sam.

Croxall, D. D. Embellished with a print before each Fable. 18mo.
GOLDSMITH'S NATURAL HISTORY ; abridged for the

use of Schools: with 16 elegant copper-plates. By John D. Godman,
M. D. 12mon

Preparing for Pressa- A new Edition of HUTTON'S MATHEMATICS,

complete in one large 8vo. volume ; entirely remodelled by Professor Ramsay,
of Trinity College, Cambridge. The above Edition will contain a full and
complete Treatise on Arithmetic, Algebra, Geometry, Conic Sections, Plane
Trigonometry, Mensuration, Surveying, Analytical Plane and Spherical
Trigonometry, Analytical Geometry, the Differential and Integral Calculus..
Also, a new Treatise on Mechanics, compiled chiefly from the works of La
place, Lagrange, Poisson, Pontecoulant, Boucharlat, Somerville, Gregory
Young, &c. By James Ryan, A. M.

OF

G E O M E TRY:

CONTAINING

THE FIRST SIX BOOKS OF EUCLID,

WITH 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. & Edin.

PROFESSOR OF NATURAL PHILOSOPHY, FORMERLY OF MATHEMATICS, IN THX

UNIVERSITY OF EDINBURGH.

A NEW EDITION, ENTIRELY REMODELLED,

BY JAMES RYAN,
AUTHOR OF AN ELEMENTARY TREATISE ON ALGEBRA, THEORETICAL AND PRACTICAL ; THE
DIFFERENTIAL AND INTEGRAL CALCULUS; THE NEW AMERICAN

GRAMMAR OF ASTRONOMY, &c.

NEW-YORK:
W. E. DEAN, PRINTER AND PUBLISHER, 32 ANN-STREET.
N. & J. WHITE; COLLINS & HANNAY; J. B. COLLINS ;
JAMES RYAN; ROE LOCKWOOD; AND

LEAVITT, LORD, & co.

1835.

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