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Plainfield Academy, April 20, 1802. I MAKE use of DĄBoul's SCHOOLMASTER's Assistant, in teaching comihon Arithmetic, and think it the best calcuiated for that purpose of any which has fallen within my observation.

JOHN ADAMS, Rector of

Plainfield Academy. (Now Principal of Philips' Academy, Andover, Mass.?

Billerica Academy, (Mass.) Dec. 10, 1807. HAVING

AVING examined Mr Daboli's System of Arithmetic, I am pleased with the judgment displayed in his me thod, 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 extan', and immediately adopted it for the pupils under my charge ; and since that time have used it exclu. sively in elementary tuition, to the great advantage and improvement of the student, as well as the ease and assis. tance 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 ngenuity of the author the tribute of my hearty approval and l'ecommendation.

ROGER KENNEDY Ncic-York, March 20, 1811.

THE 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 endeavoured, 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 Ai'thmetic, I have made use of various systems which have just claims to-scientific me. rit; but the authors appear to have been deficient in an important point-the practical teacher's 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 endeavoured to obvi. ate 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 wheir minds as their studies grow more arduous.

The rules are arranged in such order as to introduce the most simple and necessary 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 rea ler to the contents.

Although the Federal Coin is purely decimal, it is so gearly allied to whole numbers, and so absolutely necessary to be understood by gvery one, that I have in. troduced 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 learningefractions.

In the arrangement of fractions I have taken an entire new method, the advantages and facility of which will sufficiențly apologize for its not being according to other

systems. As decimal fractions may be Icarned much easier
ihan vulgar, and are more simple, useful, and necessa-
ry, and soonest wanted in more useful branches of Arith-
metic, 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 knoxviedge of Vulgar Fractions, is generally a task too hard for young scholars who have made no further progress in Arithmetic than Re duction, 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 capable of going through them with advantage and ease.

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

The Ippendix contains a variety of rules fo, 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 author may have escaped correction. If any such are pointed out, it will be considered as a mark of friendship and fa. your, by

The public's most hirmble
and sbcdient Serrant,

NATHAN DAROLL

Questions for Exercise

Page. 209

Reduction

of Currencies, do. of Coin

89, 93

Rule of Three Direct, do. Inverse

100, 108
Duuble

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 Superficies & 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 sum for months and days

217

Subtraction, Simple

25

Compound

45

Table, Numeration and Pence

9

Addition, Subtraction, and Multiplication 10

Of Weight and Aleasure

11

of time and Motion

13

showing the number of days from any day

of one month, to the same day in any other

inonth

172

showing the amount of ll. or 1 dollar, at 5 &

6 per cent. Compound Lusterest, for 20 years . 232

showing the amount of Il. annuity, forborne

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

Compound Interest

233

showing the present worth of 1l. annuity, for

31 years. at 5 & 6 per cent. Compound Int. ib.

of cents, answering to the currencies of the

United States, with Sterling, &c.

236

showing the value of Fcdcral Money in oth-

er currencies

237

Tare and Trett

• 114

Useful Forms in transaeting business

238

Weights of several pieces of English, Portuguesc, &

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

of English & Purtuguese gold, do. do. 235

of French and Spanish gicid, do. do ib.

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