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FEDERAL CALCULATOR,

OR

SCHOLAR'S ASSISTANT:

Containing the most concise and accurate rules for performing the operations in common Arithmetic; together with numerous examples under each of the rules, varied so as to make them conformable to almost every kind of business,

FOR THE

USE OF SCHOOLS AND COUNTING HOUSES.

BY THOMAS T. SMILEY,

TEACHER.

Author of an Easy Introduction to the Study of Geography
Sacred Geography, for the use of Schools.

Also, of

Philadelphia:

PUBLISHED AND FOR SALE BY J. GRIGG, No. 9, NORTH 4th St.
AND FOR SALE BY BOOKSELLERS AND COUNTRY
MERCHANTS GENERALLY IN THE SOUTHERN
AND WESTERN STATES.

1830.

Eastern District of Pennsylvania, to wit:

***** L. S.

BE IT REMEMBERED, That on the fifteenth day of January, in the forty-ninth year of the Independence of the United States of America, A. D. 1825, JOHN GRIGG, of the said district, hath deposited in this office, the title of a book, the right whereof he claims as proprietor, in the words following, to wit:

"The New Federal Calculator, or Scholar's Assistant: Containing the most concise and accurate rules for performing the operations in common Arithmetic; together with numerous examples under each of the rules, varied so as to make them conformable to almost every kind of business. For the use of Schools and Counting Houses. BY THOMAS T. SMILEY, Teacher. Author of an Easy Entroduction to the Study of Geography. Also, of Sacred Geography for the use of Schools.".

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." And also to the Act, entitled, "An Act supplementary to an Act, 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,' and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints."

D. CALDWELL, Clerk of the

Stereotyped by J. Howe.

Eastern District of Pennsylvania.

RECOMMENDATIONS.

QA102 5484

AMONG the numerous recommendations received to this work,

are the following:

Philad. March 8th, 1825.

Mr. John Grigg,
SIR,
I have examined, with as much care as my time would admit,
"The New Federal Calculator," by Thomas T. Smiley. It ap-
pears to me, to be a treatise on Arithmetic of considerable merit.
There are parts in Mr. Smiley's work which are very valuable:
the rules given by him in Barter, Loss and Gain, and Exchange,
are a great desideratum in a new system or treatise on Arithmetic,
and render his book superior to any on the subject now in use;
and when it is considered that the calculations in the work are
ade in Federal money, the only currency now known in the

States, and that appropriate questions follow the different
rules, by which the learner can be exercised as to his understand-
ing of each part as he progresses; I hesitate not to say, that in
my opinion, it is eminently calculated to promote instruction in the
science on which it treats. Mr. Smiley deserves the thanks of
the Public, and the encouragement of Teachers, for his attempt to
simplify and improve the method of teaching Arithmetic.
I am yours, respectfully,
WM. P. SMITH,
Preceptor of Mathematics and Natural
Philosophy.-No. 152, South Tenth

Street.

SIR,

I have carefully examined "The New Federal Calculator, or Scholar's Assistant," by Thomas T. Smiley, on which you politely requested my opinion; and freely acknowledge, that I think it better calculated for the use of United States' Schools and Counting-Houses than any book on the subject that I have seen. The author's arrangement of the four primary rules is, in my opinion, a judicious and laudable innovation, claiming the merit of improvement; as it brings together the rules nearest related in their nature and uses. His questions upon the rules throughout, appear to me, to be admirably calculated to elicit the exertions of the learner. But, above all, the preference he has given to the currency of his

M320742

own country, in its numerous examples, has stamped a value upon this little work, which, I believe, has not fallen to the lot of any other book of the kind, as yet offered to the American public. I am, sir, yours, respectfully, JOHN MACKAY.

Charleston, (S. C.) March 29th, 1825.

From the United States Gazette.

Among the numerous publications of the present day, devoted to the improvement of youth, we have noticed a new edition of Smiley's Arithmetic, just published by J. Grigg.

The general arrangement of this book is an improvement upon the Arithmetics in present use, being more systematic, and according to the affinities of different rules. The chief advantage of the present over the first edition, is a correction of several typographical errors, a circumstance which will render it peculiarly acceptable to teachers. In referring to the merits of this little work, it is proper to mention, that a greater portion of its pages are devoted to Federal calculation, than is generally allowed in primary works in this branch of study. The heavy tax of time and patience which our youth are now compelled to pay to the errors of their ancestors, by performing the various operations of pounds, shillings and pence, should be remitted, and we are glad to notice that the Federal computation is becoming the prominent practice of school arithmetic.

In recommending Mr. Smiley's book to the notice of parents and teachers, we believe that we invite their attention to a work that will really prove an "assistant" to them, and a “guide” to their interesting charge.

The Editors of the New York Telegraph, speaking of Smiley's Arithmetic, observe that they have, within a few days, attentively examined the above Arithmetic, and say, "We do not hesitate to pronounce it an improvement upon every work of the kind previously before the public; and, as such, recommend its adoption in all our SCHOOLS and ACADEMIES."

PREFACE.

CONSIDERING the number of works on Arithmetic which have been already published, it may be thought presumptuous in the Author to have added to the number. But in the present improved state of the art of imparting instruction to youth, and consequent attention to the books made use of for that purpose, it will scarcely be argued that it is impracticable to furnish schools with books on any of the usual branches of school education, better calculated for the purpose than those previously in use. Under this impression, the Author has presented "The New Federal Calculator" to the Public. Whether it is better calculated to facilitate the progress of the learner, in the branch of study of which it treats, than those which have preceded it, remains to be submitted to the test of experience. In forming the rules, particular care has been taken to render them as clear and explicit as possible, and to arrange them in such a manner, that they may be readily committed to memory. The acquisition of a thorough knowledge of the Rules, preparatory to working the Examples which follow each of them, is particularly recommended, as the progress of the learner cannot fail to be very much facilitated thereby.

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