A

NEW AND CONCISE SYSTEM OF

RITHMETICK,

CONTAINING

VULGAR, DECIMAL, AND LOGARITHMICAL

ARITHMETICK;

CALCULATED

FOR THE USE OF THE INHABITANTS OF THE UNITED STATES;

WHEREIN IS SHOWN

A UNIVERSAL MODE OF CANCELLING,

And proofs in each rule, with demonstrations and examples, not to be
found in any other treatise now extant;

MENSURATION OF SUPERFICIES AND SOLIDS;

MEASUREMENT OF ARTIFICER'S WORK, BOARD AND TIMBER, BY CALCULATION;
THE PLAIN SCALE AND SLIDING RULE; MEASUREMENT OF
INACCESSIBLE DISTANCES, HEIGHTS, &C.

ALL CANCELLED AND ABRIDGED:

With other rules, too tedious to mention, and improvements on each.

BY BERIAH STEVENS.

SARATOGA SPRINGS, N. Y.

PRINTED FOR THE AUTHOR, BY G. M. DAVISON.

1822.*

Um

Heat of Sai

2-13-42 44476

DISTRICT OF

VERMONT,

L. S.

*

}

To wit:

BE IT REMEMBERED, That on the tenth day of June, in the forty-sixth year of the Independence of the United States of America, Beriah Stevens, 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:

"A new and concise system of Arithmetick, containing vulgar, decimal, and logarithmical arithmetick, calculated for the use of the inhabitants of the United States; wherein is shown a universal mode of cancelling, and proofs in each rule, with demonstrations and examples, not to be found in any other treatise now extant; mensuration of superficies and solids; measurement of artificer's work, board and timber, by calculation; the plain scale and sliding rule; measurement of inaccessible distances, heights, &c. All cancelled and abridged-with other rules, too tedious to mention, and improvements on each. By Beriah Stevens." 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

J. GOVE, Clerk.

INTRODUCTION.

The design of the author, in publishing the work contained in the succeeding pages, was to shorten arithmetical calculations, and render them more concise, easy, and plain. For this purpose I have devoted the principal part of my time, for a considerable number of years, to the most diligent study; and I flatter myself that I have partially accomplished my object. It is now my intention to continue the work I have begun to a considerable length: one volume of which is now exhibited to the publick. I shall not undertake to make many apologies for this new publication; the work will speak for itself. If it possesses any merit, the candid instructor, and the intelligent man of business, will readily discern it. There will undoubtedly be errors discovered in this publication; and as they are indispensable in a work of this kind, I persuade myself that an impartial publick will readily forgive them.

I cannot pretend to be more perfect than many other mathematical characters, whose works are now extant; and my questions are stated much in the same way as they are by other authors. Wherever I have made an alteration, my rules are clearly explained, and my system of cancelling is fully elucidated. Questions can be performed according to my rules, or agreeably to the old method. I have only to request of those who peruse my system of arithmetick, that they will not pass sentence before trial; but first examine, then decide.