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The subjects are handled in a simple and concise manner.

While the Questions are few, they exhibit a considerable variety. While they are, generally, easy, some of them afford scope for the exercise of the Scholar's Judgment.

It is a good quality of the Book, that it has so much to do with Federal Money.

The plan of showing the reasons of the operations in the extraction of the Square and Cube Roots is good.

DANIEL HARDY, Jun. Preceptor of Chesterfield Acadeny.

Extract of a letter from the Rev. LABAN AINSWORTH, of Jaffrey, to the publisher of the 4th Edition, dated Aug. 3, 1807.

“ THE Superiority of the Scholar's Arithmetic to any book of the kind in my knowledge, clearly appears from its good effect in the Schools I annually visit. Previous to its introduction, Arithmetic was learned and performed mechanically ; since, scholars are able to give a rational account of the seve ral operations in Arithmetic, which is the best proof of their having learned to good purpose."

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PREFACE (TO THE 2 EDITION] DEDICATORY

TO
SCHOOL MASTERS.
GENTLEMEN,

AFTER expressing my sincere thanks for your kind and
very ready acceptance of the first Edition of the SCHOLAR'S
ARITHMETIC, permit me now to offer for your further con-
sideration and favor, the SECOND EDITION, which, with its
CORRECTIONS and ADDITIONS, it is hoped, will be found still

The testimony of many respectable Teachers has inspired a confidence to believe, that this work, where it has been introduced into Schools, has proved a kind assistant towards à more speedy and thorough improvement of Scholars in Numbers, and at the same time, has, relieved masters of a heavy burden of writing out Rules and Questions, under which they have so long laboured, to the manifest neglect of other parts of their Schools.

To answer the several intentions of this work, it will be necessary that it should be put into the hands of every Arith. metician ; the blank after each example is designed for the operation by the Scholar, which being first wrought upon a slate, or waste paper, he may afterwards transcribe into his book.

The SUPPLEMENT to each Rule in this work is a novelty. I have often seen books with questions and answers, but in my humble opinion, it is no evidence that the Scholar comprehends the principles of that science which is his study, because that he may be able to repeat, verbatim from his book, the answer to a question on which his attention has been exercised, two or three hours, to commit to memory. Study is of but little advantage to the human mind without reflection. To force the Scholar into reflections of his own, is the object of those Questions unanswered, at the beginning of each Supplement." The Exercises are designed, tests of his judgment. The Supplements may be omitted the first time going through the book, if thought proper, and taken up afterwards as a review.

Through the whole it has been my greatest care to make myself intelligible to the Scholar ; such rules and remarks as have been compiled from other authors are included in quotations ; the Examples, many of them, are extracted. This I have not hesitated to do, when I found them suited to my purpose.

Demonstrations of the reason and nature of the operations in the extraction of the Square and Cube Roots have never been attempted, in any work of the kind before, to my knowledge. It is hoped these will be found satisfactory.

I have only to add, that any intimation of amendments or defects by the candid and experienced of your order, will be thankfully received by Gentlemen, Your most humble, and

most obedient servant,

DANIEL ADAMS. Leorrinster, Mass. Oct. 1, 1802.

SEVENTH EDITION.

The Seventh edition is printed, page for page, from the Sixth.

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+{added to 4 is equal to 6.

EXPLANATION OF THE CHARACTERS MADE USE OF IN THE

WORK.
The sign of equality; as 100 cfs=1 Doll. signifies that 100 cents are
equal to 1 dollar.

Saint GEORG E's Cross, the fign of addition; as 2+4-6, that is 2
- The sign of subtraction ; as 6–2=4 ; that is, 2 taken from 6 leaves 4.

Saint Andrew's Cross, the sign of multiplication ; as 4x6=24 ;
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that is, 4 times 6 is equal to 24.

Reversed Parenthesis, the fign of divifion; as 3)6(2, that is, 6
or )

divided by 3 is equal to 2, or 63=2.

The sign of proportion; as, 2 : 4 ::8: 16, that is, as 2 is to
{ 4 so is 8 to 16.

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