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CLASSICAL AND SCHOOL BOOKS,

PRINTED AND PUBLISHED BY

W. E. DEAN, 2 ANN-STREET.

Most of which 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 Acadamies; to 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. 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 Acadamies. 18mo.

HUTTON'S MATHEMATICS; for the use of Acadamies, as well as private tuition: with many Corrections and Improvements, by Olinthus Gregory, LL. D. Also Additions by Robert Adrain, LL. D. 2 vols. 8vo.

BONNYCASTLE'S ALGEBRA: with Notes and Observations, designed for the use of Schools. To which is added, an Appendix on the Application of Algebra to Geometry. By James Ryan. 12mo.

PLAYFAIR'S EUCLID: a New Edition, Revised and Remodelled; for the use of Schools and Colleges in the United States. By James Ryan.

12mo.

ADAM'S LATIN GRAMMAR; with numerous expansions and Additions, designed to make the work more elementary and complete, and to facilitate the acquisition of a thorough knowledge of the Latin language. By James D. Johnson, A. M. MAIR'S INTRODUCTION to Latin Syntax: from the Edinburgh Stereotype Edition; revised and corrected by A. R. Carson, Rector of the High School of Edinburgh. To which is added, Copious Exercises upon the Declinable Parts of Speech, and an Exemplification of the several Moods and Tenses. By David Patterson, A. M. 12mo.

VIRGIL: with English Notes. By John D. Ogilby. 12mo. CESAR'S COMMENTARIES: illustrated with English Notes, and an Index of Proper Names. By David Patterson, A. M. 12mo.

LATIN READER; Parts I. & II. by Frederick Jacobs and Frederick William Doring; with Notes and Illustrations, partly translated from the German and partly drawn from other sources. By John D. Ogilby. 12mo.

1

RECUEIL CHOISI de Traits Historiques et de Contes Moraux 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.

HISTORY OF CHARLES XII. in French, by Voltaire. 18mo. LEVIZAC'S FRENCH GRAMMAR: revised and corrected by Mr. Stephen Pasquier, M. A. With the Voltarian Orthography, according to the Dictionary of the French Academy. 12mo. JACOB'S GREEK READER; Corrected and Improved, with numerous Notes, Additions, and Alterations, not in any former edition; also a copious Lexicon. By Patrick S. Casserly, T. C. D. 8vo. VALPY'S HOMER; for the use of Schools. With English Notes. By John D. Ogilby. 8vo.

VALPY'S GREEK GRAMMAR; greatly enlarged and improved, by Charles Anthon, LL. D. 12mo.

COLLECTANEA GRÆCA MINORA; with extensive English Notes and a Lexicon. 8vo.

LEMPRIERE'S CLASSICAL DICTIONARY; containing the principal Names and Terms relating to the Geography, Topography, History, Literature, and Mythology of the Ancients. Revised, corrected, and arranged in a new form, by Lorenzo L. da Ponte and John D. Ogilby. 8vo.

ADAM'S ROMAN ANTIQUITIES: a new Edition, from a late English Copy, illustrated with upwards of 100 Engravings on steel and wood, with notes and improvements, by L. L. da Ponte, Editor of the Seventh, Eighth, Ninth, and Tenth American Editions of Lempriere's Classical Dictionary.

:

BLACKSTONE'S COMMENTARIES on the Laws of England 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 Pharmacopoeias. 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 Appendix, by James Copland, M. D. 8vo.

ESOP'S FABLES: with instructive Applications, by Samuel 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. 12mo.

Dean's Stereotype Edition.

O AN

INTRODUCTION TO ALGEBRA,

WITH

NOTES AND OBSERVATIONS;

DESIGNED FOR THE USE OF

SCHOOLS AND PLACES OF PUBLIC EDUCATION.

TO WHICH IS ADDED

AN APPENDIX,

ON THE

APPLICATION OF ALGEBRA TO GEOMETRY.

BY JOHN BONNYCASTLE,

Professor of Mathematics in the Royal Military Academy, Woolwich.

Ingenuas didicisse fideliter artes
Emollit mores, nec sinit esse feros.-Ovid.

EIGHTH NEW YORK, FROM THE LAST LONDON EDITION.

REVISED, CORRECTED, AND ENLARGED,

WITH A VARIETY OF EXAMPLES, AND MANY OTHER USEFUL ADDITIONS,
BY JAMES RYAN,

Author of "An Elementary Treatise on Algebra, Theoretical and Practical," &c.

MD

NEW YORK :

W. E. DEAN, PRINTER AND PUBLISHER, 2 ANN-STREET.
COLLINS, KEESE, & co., 230 PEARL-STREET.

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