## Daboll's Schoolmaster's Assistant: Improved and Enlarged : Being a Plain and Practical System of Arithmetick Adapted to the United States |

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Page 2

HRVARD HIVERSITY LIBRARY 477130 Entered according to Act of Congress ,

in the year 1839 , by Mack , AndRUS , & WOODRUFF , in the Clerk's office of the

Northern District of

HRVARD HIVERSITY LIBRARY 477130 Entered according to Act of Congress ,

in the year 1839 , by Mack , AndRUS , & WOODRUFF , in the Clerk's office of the

Northern District of

**New York**. Yale College , Nov. 27 , 1799 . I HAVE KC 11352. Page 4

... think it my duty to give the labour and ingenuity of the author the tribute of my

hearty approval and recommendation . : 3 ROGER KENNEDY

March 20. 1811 . PREFACE . sli The design of this work is to

RECOMMENDATIONS ,

... think it my duty to give the labour and ingenuity of the author the tribute of my

hearty approval and recommendation . : 3 ROGER KENNEDY

**New**-**York**,March 20. 1811 . PREFACE . sli The design of this work is to

RECOMMENDATIONS ,

Page 20

The distance from Portland in the Province of Maine , to Boston , is 125 miles ;

from Boston to New Haven , 16 i miles ; from thence to

thence ti Philadelplria , 95 ; from thence to Baltimore , 102 ; fron thence to

Charleston ...

The distance from Portland in the Province of Maine , to Boston , is 125 miles ;

from Boston to New Haven , 16 i miles ; from thence to

**New**-**York**, 88 ; fromthence ti Philadelplria , 95 ; from thence to Baltimore , 102 ; fron thence to

Charleston ...

Page 46

... Shewing the use of Compound Addition and Subtraction

MARCH 22 , 1814 . Bought of George Grocer , 12 C. 2.qrs . of Sugar , at 52s . per

cwt . £ 32 100 28 lbs . of Rice , at 3d . per lb. 0 7. U 3 loaves of Sugar , wt . 35 lb.

at ls .

... Shewing the use of Compound Addition and Subtraction

**NEW**-**YORK**,MARCH 22 , 1814 . Bought of George Grocer , 12 C. 2.qrs . of Sugar , at 52s . per

cwt . £ 32 100 28 lbs . of Rice , at 3d . per lb. 0 7. U 3 loaves of Sugar , wt . 35 lb.

at ls .

Page 66

2. In 49 yards , how many feet , inches , and barley - corns ! Ans . 147 ft . 1764

inch . 5292 b.c. 3. IIow many inches from Boston to

miles ? Ans . 15713280 inch . 4. In 4352 inches , how many yards ? Ans . 120 yds

. 2 ft .

2. In 49 yards , how many feet , inches , and barley - corns ! Ans . 147 ft . 1764

inch . 5292 b.c. 3. IIow many inches from Boston to

**New**-**York**, it being 248miles ? Ans . 15713280 inch . 4. In 4352 inches , how many yards ? Ans . 120 yds

. 2 ft .

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### Common terms and phrases

acres added allowing amount annum answer Bought Bring bushels called cent ciphers cloth common compound containing continue cost cube currency decimal demand denominator difference dimes Divide dividend divisor dollars dols equal EXAMPLES farthings federal money feet figure fraction gain gallon give given given number given sum greater gross half hundred inches interest left hand less loss lowest MEASURE merchant miles millions mills mixed months Multiply neat nine paid payment pence period piece pound present principal proportion quantity question quotient ratio received Reduce remainder right hand rods root RULE sell share shillings simple sold solid square stand sterling subtract sugar TABLE tare term third thousand units weight whole numbers wine worth yards

### Popular passages

Page 162 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above ; and, in like manner, from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more.

Page 162 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add- it to the principal, and compute the interest on the sum paid, from the time it was paid up to the end of the year; add it to the sum paid, and deduct that sum from the principal and interest, added as above...

Page 190 - If the errors are alike, divide the difference of the products by the difference of the errors, and the quotient will be the answer.

Page 154 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.

Page 185 - The first term, the last term (or the extremes) and the ratio given, to find the sum of the series RULE. Multiply the last term by the ratio, and from the product subtract the first term...

Page 124 - When the debtor keeps the annuity in his own hands beyond the time of payment, it is said to be in arrears. The sum of all the annuities for the time they have been foreborne, together with the interest due on each, is called the amount.

Page 177 - Alligation Alternate. ALLIGATION MEDIAL, Is when the quantities and prices of several things are given, to find the' mean price of the mixture compounded of those things.

Page 159 - The amount, principal, and rate per cent, given, to find the time. RULE. Subtract the principal from the amount; divide the remainder by the product of the ratio and principal; and the quotient -will be the time. EXAMPLES. 1. In what time will 950 dols. 75 cts. amount to 1235 dollars, 97,5 cents, at 6 per cent, per annum ? From the amount 81235,975 Take the principal 950,75 950,75x06=57,0450)285,2250(5 years, Ans.

Page 91 - Multiply the second and third terms together, and divide their product by the first term; and the quotient will be the answer to the question, in the same denomination you left the second term in, which may be brought into any other denomination required.