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Plainfield Aoademy, April 20, 1802. I MAKE use of Davoll's ScHQOLMASTER'S ASSISTANT, in teaching common Arithmetic, and think it the best calculated for that purpose of any that has fallen within my observation.

JOHN ADAMS, Rector of

Plainfield Academy. [Now Principal of Philips' Academy, Andover, Mass. ]

Bilterica Academy, (Mass.) Dec. 10, 1907. HAVING examined Mr. DABOLL’s System of Arith, metic, I am pleased with the judgment displayed in his method, and the perspicuity of his explanations, and thinking it as easy and comprehensive a system as any with which I am acquainted, can cheerfully recommend it to the patronage of Instructors.

SAMUEL WHITING,

Teacher of Mathematics,

From Mr. Kennedy, Teacher of Mathematics, I BECAME acquainted with DABOLL'S SCHOOLMASTer's Assistant, in the year 1802, and on examining it att entively, gave it my decided preference to any other system extant, and immediately adopted it for the pupils under my charge ; and since that time have used it ex. clusively in elementary tuition, to the great advantage and improvement of the student, as well as the ease and assistance of the preceptor. I also deem it equally well calculated for the benefit of individuals in private in. struction; and think it my duty to give the labor and ingenuity of the author the tribute of my hearty approval and recommendation.

ROGER KENNEDY. Now-York, March 20, 1811.

TIIE design of this work is to furnish the schools of the United States with a methodical and comprehensive system of Practical Arithmetic, in which I have endeavored, through the whole, to have the rules as concise and familiar, as the nature of the subject will permit.

During the long period which I have devoted to the instruction of youth in Arithmetic, I have made use of various systems which have just claims to scientific merit; but the authors appear to have been deficient in an important point-the practical teachers experience. They have been too sparing of examples, especially in the first rudiments ; in consequence of which, the young pupil is hurried through the.ground rules too fast for his capacity. This objection I have endeavored to obviate in the following treatise.

In teaching the first rules, I have found it best to encourage the attention of scholars by a variety of easy

and familiar questions, which might serve to strengthen their minds as their studies grow more arduous.

The rules are arranged in such order as to introduce the most simple and necessarry parts, previous to those which are more abstruse and difficult.

To enter into a detail of the whole work would be te. dious ; I shall therefore notice only a few particulars, and refer the reader to the contents.

Although the Federal Coin is purely decimal, it is so nearly allied to whole numbers, and so absolutely necessary to be understood by every one, that I have introduced it immediately after addition of whole numbers, and also shown how to find the value of goods therein, immediately after simple multiplication ; which may be of great advantage to many, who perhaps will not have an opportunity of learning fractions.

In the arrangement of fractions I have taken an entire new method, the advantages and facility of which wih sufi siently apologise for its not being according to other

systems. As decimal fractions may be learned much easier than vulgar, and are more simple, useful, and neces. sary, and soonest wanted in more useful branches of Arithmetic, they ought to be learned first, and Vulgar Fractions omitted, until further progress in the science shall make them necessary

It may be well to obtain a general idea of them, and to attend to two or three easy problems therein : after which, the scholar may learn decimals, which will be necessary in the reduction of currencies, computing interest, and many other branches.

Besides, to obtain a thorough knowledge of Vulgar Fractions, is generally a task too hard for young scholars, who have made no further progress in Arithmetic than Reduction, and often discourages them.

I have therefore placed a few problems in Fractions, according to the method above hinted ; and after going through the principal mercantile rules, have treated upon Vulgar Fractions at large, the scholar being now capåble of going through them with advantage and ease.

In Simple Interest, in Federal Money, I have given several new and concise rules ; some of which are particularly designed for the use of the compting-house.

The Appendix contains a variety of rules for casting Interest, Rebate, &c. together with a number of the most easy and useful problems, for measuring superfices and solids, examples of forms commonly used in transacting business, useful tables, &c. which are designed as aids in the common business of life.

Perfect accuracy, in a work of this nature, can hardly be

expected ; errors of the press, or perhaps of the author, may have escaped correction. If any such are pointed out, it will be considered as a mark of friend ship and favour, by

The public's most humble
and obedient Servant,

NATHAN DABOLL.

.

to the par of all others

Questions for Exercise

209

Reduction

63

of Currencies, do. of Coins

89, 93
Rule of Three Direct, do. Inverse

100, 108

Double

148

Rules for reducing the different currencies of the several
United States, also Canada and Yova-Scotia, each

96, 97

· Application of the preceding

98

Short Practical, for calculating Interest

1-26

for casting interest at 6 per cent

215

for finding the contents of Superfices and Solids

220

to reduce the currencies of the different Siates to Federal

Money

218

Rebale, a short method of finding the, of any given sum for

months and days

217

Subtraction, Simple

25

Compound

45

Table, Numeration and Pence

Addition, Subtraction and Multiplication

10

of Weight and Measure

11

of Tinie and Motion

13

- showing the number of days from any day of one month,

to the same day in any other month

172

showing the air.ount of 11. or one dollar, at 5 and 6 per
cent. Compound Interest, for 20 years

232
showing the amount of 1l. annuity, forborne for 31 years or
under, at 5 and 6 per cent. Compound Interest

233

- showing the present worth of nl. annuity, for 31 years, at

5 and 6 per cent. Compound Interest

ib.

of cents, answering to the currencies of the United States,

with Sterling, &c.

236

showing the value of Federal Money in other currencies

237

Tare and Trett

114

Useful Forms in transacting business

238

Weights of several pinces of English, Portuguese, and Freuch
gold coins, in dollars, cents and mills

234
of English and Portuguese gold, do. do.

235

of French and Spanisio gold, do. do,

9

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