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L. 8.

Newhampshire District, ss.
BE IT REMEMBERED, that on the seventeenth day of July, in the thirty

ninth year of the Independence of the United States of America, DANIEL

Adams, of Mont Vernon, in said District, hath deposited in this office the Title of a Book, the right whereof he claims as Author, in the following words, to wit :-“The Scholar's Arithmetic: or Federal Accountant.' Containing I. Common Arithmetic, the Rules and Illustrations.-II. Examples and Answers, with blank spaces sufficient for their operation by the Scholar.-III. To each Rule, a Supplement, comprehending: 1. Questions on the nature of the rule, its use, and the manner of its operations.--2. Exercises.-IV. Federal Money, with rules for all the various operations in it, to reduce Federal to Old Lawful, and Old Lawful to Federal Money.-V. Interest cast in Federal Money with Compound Multiplication, Compound Division and Practice wrought in Old Lawful and in Federal Money, the same questions being put in separate columns on the same paze in each kind of money, hy which these two modes of account become contrasted, and the great advantage gained by reckoning in Federal Money easily discerned.-VI. Demonstrations by engravings of the reason and nature of the various steps in the extraction of the Square and Cube Roots, not to be found in any other treatise on Arithmetic.--VII. Forms of Notes, Deeds, Bonds, and other instruments of writing.--The whole in a form and method altogether new, for the ease of the Master and the greater progress of the Scholar.--BY DANIEL ADAMS, M. B."

In conformity to the act of. 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 therein mentioned, and extending the benefit thereof to the arts of Designing, Engraving, Etching, Historical and other prints.

G. W. PRESCOTT, Clerk of the U. S. Court, N. H. District.

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PREFACE.

IT is fourteen years since the first Edition of the Scholar's Arithmetic was offered to the Public. It has now gone through nine editions, and more than Forty Thousand copies have been circulated. In those places where it has been introduced, it never has, to the best of our knowledge, been superseded by any other work which has come in competition with it. A knowledge of these facts is, perhaps, one of the best recommendations which can be desired of the work.

It has now undergone a careful revisal. Some of the rules have been thought to be deficient in examples ; in this revised edition, more than sirty new examples have been added under the different rules. Some have expressed a desire that answers might be given to the “ Miscellaneous Questions,” at the end of the book; these have been added accordingly, and the number of these questions increased. But what more particularly claims attention in this revised edition, is the introduction of the rule of Exchange, where the pupil is made acquainted with the different currencies of the several states, (that of S. Carolina and Georgia, only excepted,) and how to change these currencies from one to another; also, to Federal Money, and Federal Money to these several currencies. This has been done more particularly with a view to the accommodation of the State of New-York, and other more southern states, where this work has already acquired a very considerable circulation. 'Answers are given to many

of the questions in different currencies, so that the pupil in N. England, N. York, &c. will find an answer to the question, each in the currency of his own particular state.

These comprehend the only additions in the present new edition.

We have now the testimony of many respectable Teachers to believe, that this work, where it has been introduced into Schools, has proved a very kind assistant towards a more speedy and thorough improvement of

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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 labored, 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 Arithmetician: 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 SUPPLEMENTS to the Rules in this work are something new; experience has shown them to be very useful, particularly those “ Questions," unanswered, at the beginning of each Supplement. These questions the pupil should be made to study and reflect upon, till he can of himself devise the proper answer. They should be put to him not only once, but again,

, and again, till the answers shall become as familiar with him as the num. bers in his multiplication Table. The Exercises in each supplement may be omitted the first time going through the book, if thought proper, and taken up afterwards as a kind of 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 ex. traction of the Square and Cube Roots have never been attempted in any work of the kind before to my knowledge ; it is a pleasure to find these have proved so highly satisfactory.

Grateful for the patronage this work has already received, it remains only to be observed that no pains nor exertions shall be spared to merit its continuance.

DANIEL ADAMS. Mont-Vernon, (N. H.) December 26th, 1815.

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RECOMMENDATIONS.

New-Salem, Sept. 141h, 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.

Groton Academy, Sept. 2, 1801. Sır.....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 literature, than any other work of the kind I have seen. With great sincerity I wish you success in your exertions for the promotion of useful learning; and I am confident that to be generally approved your work needs only to be generally known.

WILLIAM M. RICHARDSON,

Preceptor of the Academy.

Extract of a Letter from the Hon. JOHN WALELOCK, LL. D. President of Dartmouth College,

to the Author. The Scholar's Arithmetic is an improvement on former productions of the same nature. Its distinctive order and supplement 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 some. thing, 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 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 Academy.

Extract of a Leller from the Rev. LABAN AINSWORTH of Jaffrey, lo lhe publisher of the

fourth Edition, dated August 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 several operations in Arithmetic, which is the best proof of their having learned to good purpose."

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SECTION II. Rules essentially necessary for every person to fit and qualify them for the transaction of

business. Reduction

61 ! Method of casting Interest on Fractions

68 Notes and Bonds when parDecimal Fractions

99 69 tial payments at different Federal Money

80 times have been made Exchange 84 Compound Interest

104 Table to reduce shillings and

do. Multiplication 91

105 pence to cents and mills

do. Division

110 Tables of Exchange 92 Single Rule of Three

117 Interest 95 ) Double Rule of Three

136 Easy method of casting Interest 97 Practice

141

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SECTION III. Rules occasionally useful to men in particular employments of life. involution

157 | Examples for measuring wood Evolution

157

Boards Extraction of the Square Root 158 Painter's and Joiner's work Demonstration of the reason and

Glazier's work nature of the various steps in

Alligation

159 the operation of extracting the

Medial Square Root

Alternate Extraction of the Cube Root

167 Position Demonstration of the reason and

Single nature of the various steps in

Double

168 the operation of extracting the

Discount Cube Root

Equation of payments Single Fellowship

177 Guaging Double Fellowship

179 Mechanical Powers Barter

182 The Lever Loss and Gain

185 | The Axle Duodecimals

188 The Screw PROBLEMS 1st. To find the circumference of a circle, the diameter being given

2d. To find the area of a circle, the diameter being given

3d. To measure the solidity of an irregular body Miscellaneous Questions

189 190 192 192 193 193 194 198 198 199 201 201 203 203 203 204 204 204 204 204 205

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