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PLAINFIELD ACADEMY, APRIL 20, 180%.. I MAKE use of DABOLI's SchoolMASTER'S ASSISTANT, in teaching common Arithmetic, and think it the best calculated for that purpose of any which has fallen within my observation.

JOHN ADAMS, Rector of

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

BILLERICA ACADEMY, (MASS.) dec. 10, 1807. HAVING examined Mr. DABOLL's System of Arithmetic, 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 attentively, gave it my decided preference to any other system extant, and immediately adopted it for the pupiís under my charge ; and since that time have used it exclusively, in elementary tuition, to the great adrantage and improvement of the student, as well as tive ease and as. sistance of the Preceptor. I also deem it equally well, calculated for the benefit of individuals in private instruction; and think it my duty to give the labour and ingenuity of the author the tribute of my hearty approval and recommendation.

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

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The design of this work is to furnish the schools of
the United States with a methodical and comprehensive
system of Practical Ariệlınetic, in which I have endea-
voured, 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 Aritumetic, I have made use of
various systems which have just claims tv scientific mer-
it; but the authors appear to have been deficient in an
important point-the practical teacher's experience.
They have been too spacing of examplen, especially in
the fast rudiments; in consequence of which, the young
pupil is hurried through the ground rules too fast for his
capacity. This oljection I have endeavoured to obviate
in the Pullowing 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 ininds as their studies grow.more arduous.

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

Toenter 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 neces-
sary to be understood by erery one, that I have intro-
duced it immediately after ad lition 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 will
bulliciently apologize for its not being according to other

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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 interst, and inany other branches.

Besides, to obtain a thorough knowledge of Vulgar Fractions, is generally a tasi 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 roing through the principal mercantile rúles, have treated upoč Vulgar Fractions at large, the scholar being now capable 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 superficies 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 au, thor, may have escaped correction. If any such are point: ed out, it will be considered as a mark of friendship and fayor, by

The public's most humble
and obedient Servant,

NATHAN DABOLL.

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Page.

Questions for Exercise

209

Reduction

63

of Currencies, do. of Coin

89, 98
Rule of Three Direct, do. Inverse

100, 108

quicom Double

148

Rules, for reducing the different currencies of the

several United States, also Canada and No.

va-Scotia, each to the par of all others 96, 97

Application of the preceding.

98

Short Practical, for calculating Interest 126

for casting Interest at 6 per cent. .

215

for finding the contents of Superfices & Solids 220

to reduce the currencies of the different

States, to Federal Money

218

Rebate, A short method of finding the, of any giv-
en sun for months and days

217

Subtraction, Simple

25

Compound

45

Table, Numeration and Pence

9

Adition, Subtraction, and Multiplication 10

of Weight and Measure

11

of Time 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 amount of 11. or 1 dollar, at 5 &

6 per cent. Compound Interest, for 20 years 232

shewing the amount of ll. annuity, forborne

for:31 years or under, at 5 and 6 per cent.

Compound Interest

233

showing the present worth of 11. annuity, for

31 yrs. at 5 & 6 per c. 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 pieces of English, Portuguse, &

French, gold coins, in dollars, cents, & milks 234

of English & Portuguese gold, do. du. 235

of French and Spanish gold, do. do ib

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