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Plainfeld Academy, April 20, 1802 DARQLL's SchoolMASTER's Assistant on Arithmetic, and think it the best cal [pose of any which has fallen within my JOHN ADAMS,

Rector of Plainfield Academy f Philips' Academy, Andover

, Max,

ca Academy, (Mass.) Dec. 10, 1807. I Mr. DABOLL's System of Arithmetic

, 10 judgment displayed in his method, of his explanations, and thinking it as isive a system as any with which I

am erfully recommend it to the patronage SAMUEL WHITING,

Teacher of Mathematics

The design of this work is to furnish the se United States with a methodical and comprehe of Practical Arithmetic, in which I have e through the whole, to have the rules as concis liar as the nature of the subject will permit.

During the long period which I have devot struction of youth in Arithmetic, I have made u systems which have just claims to scientific m authors appear to have been deficient in a paint--the practical teacher's experience. Th too sparing of examples, especially in the firs in consequence of which, the young pupil is hur the ground rules too fast for his capacity. T I have endeavoured to obviate in the followin

In teaching the first rules, I have found courage the attention of scholars by a variet familiar stions, which might serve to stre minds as their studies grew more arduous.

The rules are arranged in such order as to inost simple and necessary parts, previous to are more abstruse and difficult.

To enter into a detail of the whole work dious; I shall therefore notice only a few pa refer the reader to the contents.

Although the Federal Coin is purely de nearly allied to whole numbers, and so absolu to be understood by every one, that I have immediately after addition of whole num] shown how to find the value of goods thereir after simple multiplication; which may be o tage to many, who perhaps will not have an learning fractions.

In the arrangement of fractions, I have to new method, the advantages and facility sufficiently apologize for its not being are

A 2

medy, Teacher of Mathematics. ced with DABOLL'S SCHOOL MASTER'S ar 1802, and ou examining it attensive preference to any other system -ly adopted it for the pupils under my at time have used it exclusively in the great advantage and improves well as the ease and assistance of deem it equally well calculated for Is in private instruction, and think labour and ingenuity of the author v approval and recommendation,

ROGER KENNEDY , 1811.

Bart Brod Cha Com Con Coli Dis

systeins, As decimal fractions may be learned much easier
than vulgar, and are more simple, useful, and necessary,
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 ne-
eessary. 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 ne-
cessary in the reduction of currencies, computing interest,
and
many

other branches.
Besides, to obtain a thorough knowledge of Vulgar Frac-
tions, is generally a task too hard for young scholars who
have made no further progress in Arithmetic than Reduc-
tion, 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 thrqugh them with advantage and ease.

In Simple Interest, in Federal Money, I have given several new and concise rules ; some of which are particularly dorigned 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 bany 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 ha expected ; errors of the press, or perhaps of the author, inay have escaped correction. If any such are pointed out, it will be considered as a park of friendship and fayour, ly

The public's most humble
and obedient Servant,

NATHAN DABOLI..

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TABLE OF CONTENTS

al fractions may be learned much easier
'e more simple, useful, and necessary, ,
in more useful branches of Arithmetic

,

ined first, and Vulgar Fractions omitted,

ss in the science shall make them ne-

: well to obtain a general idca of them,

1 or three easy problems therein; after

may learn decimals, which will be nę
tion of currencies, computing interest

,
nches.
a thorough knowledge of Vulgar Frac-
task too hard for

young

scholars who
31 progress in Arithmetic than Reduc-
jurages them.
laced a few problems in Fractions, as
d above hinted; and after going through
utile rules, have treated upon Vulgar
he scholar being now capable of going
zdvantage and ease.
t, in Federal Money, I have given seve-

rules ; some of which are particularly
of the compting-house.

ontains a variety of rules for casting

. together with a number of the most

blems, for measuring superficies and

forms commonly used in transucting

s, &c. which are designed as aids in

-

of life.

in a work of this nature, can hardly
of the press, or perhaps of the author,
orrection. If any such are pointed
ered as a mark of friendship and fa-

Ic's most humble
obedient Servant,

NATHAN DABOLI

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Questions for Exercise,

187

Reduction,

58

of Currencies, do, of Coin,

82, 86
Rule of Three Direct, do. Inverse,

90,97

Double,

136

Rules for reducing the different currencies of the several United

States, also Canada and Nova Scotia, each to the par

of all others,

88

Application of the preceding,

89

Short Practical, for calculating Interest,

114

for casting Interest at 6 per cent,

203

for finding the contents of Superfices and Solids,

208

to reduce the currencies of the different states to Fede-

ral Money,

206

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

months and days,

205

Subtraction, Simple,

23

Compound,

43

Table, Numeration and Pence,

Addition, 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,

160

showing the amount of 11. or 1 dollar, at 5 and 6 per

cent. Compound Interest, for 20 years,

290

showing the amount of 11. annuity, forborne for 31 years
or under, at 5 and 6 per cent. Compound Interest, 221
showing the present worth of 1l. annuity, for 31 years,
at 5 and 6 per cent. Compound Interest,

221

of Cents, answering to the currencies of the United

States, with Sterling, &c.

224

showing the value of Federal Money in other currencies,

225

Tare and Tret,

103

Useful Forms in transacting business,

226

Weights of several pieces of English, Portuguese, and French

"Gold Coins, in dollars, cents, and mills,

222

of English and Portuguese Gold, do. do. 223
of French and Spanish Gold, do. do. 223

ods of Dinone.

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