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QUID MUNUS REIPUBLICÆ MAJUS MELIUSVE AFFERRE POSSUMUS, QUAM si yr-

VENTOTEM DOCEMUS, ET BENE ERUDIMUS?
E VARIIS SUMENDUM EST OPTIMUM.... CICERO,

THIRD EDITION.
KIVISED, CORRECTED AND IMPROVED, AND MORE PARTICULARLY ADAPTID

TO THE FEDERAL CURRENCY,
BY NATHANIEL LORD, A. m.

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Boston.

PUBLISHED BY THOMAS & ANDREWS,
· Proprietors of the Copy-Right. Sold at their Bookstore, No. 45, Newbury-
Street, and by the Booksellers throughout the United States.

APRIL, 1808.
............................
5. T. BUCKINGHAM; PRINTER.

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DISTRICT OF MASSACHUSETTS, TO 119 : BE it remembered, that on the thirty first day of March, in the thirty second year of the Independence of the United States of America, THOMAS & ANDREWS, of the said district, have depofited in this office the Title of a Book, the Right whereof they claim as Proprietors, in the Words following, to wit:

“ A New and Complete System of Arithmetick, composed for the use of the citizens of the United States. By Nicolas Pike, A. M. A. A.S. Quid munus reipublicæ majus meliufve afferre poffumus, quam fi juventutem docemus, et bene erudimus. -E variis fumendum eft optimum.--Cicero. Third Edition. Revised, Corrected, and Improv. ed, and more particularly adapted to the Federal Currency. By Nathaniel LORD,

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In conformity to the Act of the Congress of the United States, intitled, “ 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 there in mentioned ;” and also to an AA intitled, “ An Act supplementary to An Act, intitled, 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.”

WM. SMITH SHAW, Clerinof the Diftrict of Massachusetts.

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Bofion, 1986. FROM the known character of the Gentlemen who have recommended Mr. Pike's System of Arithmetick, there can be no room to doubt, that it is a valuable performance ; and. will be, if published, a very useful one. I there. fore with him success in its publication,

JAMES BOWDOIN.

curvarar

TO THE FIRST EDITION.

IT may, perhaps, by some, be thought ncedless, when Authors are so mulMul, to attemp! publishing any thing further on Arithmetick, as it may be izzixd there can be nothing more than the repetition of a suljed already extouted. It is however the opinion of not a few, who are conspicuous for ibir knowledge in the Mathemcticks, that the books, now in use among us, are guerally d-ficient in the illustration and application of the rules ; of the truth of which, the general complaint among Schoolmasters is a strong confirmation. ked sol only so, but as the United States are now an independent nation, it was

d that a System mighi be calculated more suitable to our meridian, than Bu beretofore published,

Although I had sufficient reason io distrust my abilities for so arduous a task, Ki is knowing any one who would take aspon bimself ihe trouble, and apprebending I could not render the publice inore essential service, ihan by an 'attapi lo remove the difficulties complained of, with diffidence I devoted myself to the work.

I have availed myself of the best Authors which could be obtained, but have full add none particularly, *xcept Bonnycastle's Method of Demonstration.

Albough I have arranged the work in such order as anpeared to me the most regular and natural, the student is not obliged to pay a siria adherence to it ; but may pass from one Rule to another, as his inclination or opporlunity for study, may require.

The Federal Coin, being purely decimal, most naturally falls in afier Decimal Fradions,

I have given several methods of extracting ihe Cube Root, and am indebted to a learned friend, who declines having his name mode publick, for the inFestigalion of two very concise Algebreick Theorems for the exiration of all Roots, and of a particular Theòrem for the Sursolid.

Among the Miscellaneous Questions, I have given some of a; bilosophical ature, as well with a view to inspire the pupil with a relish for philosophical sudes, as to the usefulness of them in the common businesses of life. .'

The short introdužiou to Nigebra, which is subjoined, was absiracled princiBally from Bonnycastle, and that of Conick Setiions, from Emerson's Works.

Being sensible the following Treatise will stand or fall, according to its real merit or demerit, I submit it to the judgment of the candid. .

With pleasure I embrace this opportunity, to express my gratitude to those learned Gentlemen, who have honoured this Treatise with their approbation, as well as to such Gentlemen, as have encouraged it by their subscriptions ; and so request the reader to excuse any errours he may meri with ; for although great pains have been taken in correčling, yet it is difficult to prevent errours from creeping into the press, and some may have escaped my otun olscrvation ; in either case, a hint from the candid will much cblige their

Most obedient,
And bumble. Servant,

THE AUTHOR,

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