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THE

YOUTH'S ASSISTANT

IN

THEORETICK AND PRACTICAL

ARITHMETICK.

DESIGNED FOR THE

Use of Schools in the United States.

BY ZADOCK THOMPSON, A.M.

Author of the Gazetteer of the State of Vermont.

SECOND EDITION,

WITH CORRECTIONS AND ADDITIONS.

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WOODSTOCK, VT.
PRINTED AND SOLD BY DAVID WATSON.-SOLD ALSO BY N. HAŠKÉLL, WOOD-
STOCK; E. P. WALTON AND GOSS & READ, MONTPELIER; WHITE & READ,
NEWBURY; E. & T. MILLS AND A. & D. DAY, BURLINGTON ; MOSES
AYRES, MILTON; H. JANES, ST. ALBANS ; J. HAGER, MIDDLE-
BURY ; WM. FAY, RUTLAND; C. GOODRICH, CASTLETON ;
HOLBROOK & FESSENDEN, BRATTLEBORO'; J. I. CUTLER
& co. BELLOWS-FALLS; S. IDE AND P. MERRI-
FIELD, WINDSOR, &c. &c,

1826.

L. S.

DISTRICT OF VERMONT, ss.
B В
E IT REMEMBERED, that on the eighth day of September,

in the fifty first year of the Independence of the United States of America, ZADOCK TAOMPSON, of the said District, hath deposited in this office the title of a Book, the right whereof he

claims as Author, in the words following, to wit : “The Youth's Assistant in Theoretick and Practical Arithmetick. Designed for the use of Schools in the United States. By Zadock Thompson, A.M. Author of the Gazetteer of the State of Vermont. Second edition, with corrections and additions."

In conformity to the act of the Congress of the United States, entitled, "an act for the encouragement of learning, by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned."

JESSE GOVE,

*Clerk of the District of Vermont. A true copy of record, examined and sealed by me,

I. GOVE, Cik.

1-21-31 e? 6926

TO THE SECOND EDITION.

I'n presenting a new edition of the Youth's Assistant, the Author begs leave to tender his grateful acknowledgment for the liberal patronage his work has already received from an enlightened publick. By his own observation and experience in teaching, he had become convinced that the Arithmeticks hitherto published, to say nothing of the want of order in the arrangement of the rules, were, in general, either very deficient in demonstration, or too full and expensive for the use of common schools. He, therefore, commenced this work with the view of uniting the simplicity of the one with the demonstration of the other, hoping at the same time, by an orderly distribution of the rules into classes, according to their similitude and dependence, and by a rejection of every thing which is not of real use to the scholar, to afford him more valuable matter than is to be found in any one of our common school Arithmeticks, and at less expense. How far he has succeeded, is not for him to say. But from the rapid sale of the preceding edition, he flatters himself that bis attempt was not regarded as altogether fruitless. In the present edition, very considerable additions and improvements have been made. Besides the correction of many typographical errors, the number of practical examples has been much increased, several new notes have been added, the part on Mental Arithmetick has been enlarged, and a short but comprehensive system of Book-keeping by Single Entry has been introduced. New rules have also been substituted, in a few cases, in place of those given in the former edition, where it was thought the student would be benefited by the change, particularly in Duodecimals and Compound Proportion. As it was the Author's design to combine the excellencies of the Arithmeticks now in use, in a lucid and perspicuous manner, he has not aimed at originality, but has selected freely from the works which came to his hand, such materials as he deemed suited to his purpose.

Grateful to those instructers, whose suggestions have led to many of the improvements in the present edition, the Author now submits it to their inspection, hoping it may be found still worthy of that approbation which they have so freely expressed, and that it may, in some measure, subserve the advancement of youth in the important science of numbers.

Burlington, Oct. 12, 1826.

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