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RECOMMENDATIONS.

New-Salem, Sept. 14th, 1801. HAVING attentively examined "The Scholar's Arithmetic," I cheerfully give it as my opinion, that it is well calculated for the instruction of youth; and that it will abridge much of the time now necessary to be spent in the communication and attainment of such Arithmetical knowledge, as is proper for the discharge of business. WARREN PIERCE, Preceptor of New-Salem Academy.

Sir,

Groton Academy, Sept. 2, 1801.

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I HAVE perused with attention "The Scholar's Arithmetic,' which you transmitted to me some time since. It is in my opinion, better calculated to lead students in our schools and Academies into a complete knowledge of all that is useful in that branch of With literature, than any other work of the kind, I have seen. great sincerity I wish you success in your exertions for the promotion of useful learning; and I am confident, that to be ally approved, your work needs only to be generally known.

gener

WILLIAM M. RICHARDSON,
Preceptor of the Academy.

EXTRACT

Of a letter from the Hon. JOHN WHEELOCK, LL. D. Presi dent of Dartmouth College, to the AUTHOR.

"THE Scholar's Arithmetic is an improvement on former Its distinctive order and suppleproductions of the same nature. ment will help the Learner in his progress; the part on Federal Money makes it more useful; and I have no doubt but the whole will be a new fund of profit in our country."

September 7th, 1807. THE Scholar's Arithmetic contains most of the important Rules of the Art, and something, also, of the curious and entertaining kind.

The subjects are handled in a simple and concise manner,

While the Questions are few, they exhibit a considerable va riety. 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.

In a number of respects the Book is found to be useful.

DANIEL HARDY, Jun. Preceptor of Chesterfield Academy.

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 ef fect 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 several operations in Arithmetic, which is the best proof of their having learned to good purpose."

George Nounse

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PREFACE (to the 2d. Edition.J DEDICATORY

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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 consideration and favor, the SECOND EDITION, which with its CORRECTIONS and ADDITIONS, it is hoped, will be found still more deserving of your approbation.

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 a 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 Arithmetitian; 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.

THRO' 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 de fects by the candid and experienced of your order, will be thank fully received by

GENTLEMEN,

Your most humble, and

most obedient servant,

DANIEL ADAMS.

Leominster, (Mass.) Oct. 1, 1802.

FOURTH EDITION.

THE Fourth Edition is printed page for page from the third with this exception-the rule for Compound Interest is crowded into its proper place.

The following ERRORS in the 3d Edition were not discovered until the 4th Edition was nearly out of the Press.

Page 43. Quest. 6. The answer instead of £54 16 ought to be £54 16 1.

Page 66. In the solution of the 3d Quest. each of the seven whole years was called 365 days and 6 hours. As two of the years were leap years, the exact answer is 4079320 minutes.

Page 79. Example 1. The second remainder, instead of 224 [in this edition] ought to be 214, and the last remainder 92.

Page 91. Example 4. For Answer, Dolls. 363,94", read Answer, Dolls. 263, 944
Page 127. Quest. 24. The Answer, instead of 119 ought to be 144 1-2.

Page 206, The Answer to the 1st Quest. about the Wheel and Axle, instead of 40, ought to be 48.

In the example respecting the Screw, for 72+3,14195218,194+ read 72× 3,14159—226,194+; and then read

Circumf.

in.

lb.

lb.

2 2 6,194 : 1 : : 2240 : 9,9 0 3. Moreover, the reader is desired to bear this in his mind, that in a number of instances, when the Answer is not given exact to a fraction, there is no sign, that it is not so exact; particularly, when the Answer is in dollars, cents & mills.

In such instances, if the scholar gets the number of mills right, though he may bring out a fraction over, he may feel satisfied.

In one or two questions in Interest, where there are partial payments, he may feel satisfed, though he may not bring out the Answer within a number of mills.

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