## 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 13

12 . Circular Motion . 60 seconds ( " ) make 1 minute , 60 minutes , 1 degree , 30

degrees , I sign , 12 signs , or 360 degrees , the whole great circle of the Zodiack .

. mo . Explanation of Characters used in this Book . =

12 . Circular Motion . 60 seconds ( " ) make 1 minute , 60 minutes , 1 degree , 30

degrees , I sign , 12 signs , or 360 degrees , the whole great circle of the Zodiack .

. mo . Explanation of Characters used in this Book . =

**Equal**ARITHMETICAL ... Page 14

Explanation of Characters used in this Book . =

that 12 pence are

, signifies that 5 and 7 added together , are

Explanation of Characters used in this Book . =

**Equal**to , as 12d . = ls . signifiesthat 12 pence are

**equal**to 1 shilling . + More , the sign of Addition ; as , 5 + 7 = 12, signifies that 5 and 7 added together , are

**equal**to 12 . - Minus , or less , the ... Page 17

IS putting together several smaller numbers , of the same lenomination , into one

larger ,

10 dollars . Rule . - Having placed units under units , tens under tcns , & c , draw ...

IS putting together several smaller numbers , of the same lenomination , into one

larger ,

**equal**to the whole or sum fotal ; as 4 dollars and 6 dollars inyone sum is10 dollars . Rule . - Having placed units under units , tens under tcns , & c , draw ...

Page 19

Excess of 9 ' s . wards , and it it be right , this sum total will be

cut off the upper line of figures , and find the amount of the rust ; then if the

amount and upper line , when addou , be

to ...

Excess of 9 ' s . wards , and it it be right , this sum total will be

**equal**to the first : Orcut off the upper line of figures , and find the amount of the rust ; then if the

amount and upper line , when addou , be

**equal**to the lolal , the work is supposedto ...

Page 24

... and Bet down the remainder , carrying one to the next lower number , with

which proceed as before , and so on till the whole is finished . Proof . Add the

remainder to the least puinber , and if the sun be

is right .

... and Bet down the remainder , carrying one to the next lower number , with

which proceed as before , and so on till the whole is finished . Proof . Add the

remainder to the least puinber , and if the sun be

**equal**to the greatest , the workis right .

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### Common terms and phrases

acres added allowing amount annuity annum answer Billings Bought breadth Bring bushels called cent ciphers cloth common compound containing continue cost cube currency decimal demand denominator difference dimes Divide dividend divisor dollars dols English Entered equal EXAMPLES farthings federal money feet figures fraction gain gallon give given given sum gross half hundred inches interest length less measure method miles millions mills mixed months Multiply neat New-York nine paid payment pence period piece pound present worth principal proportion quantity question quotient ratio received Reduce remainder right hand rods root RULE sell share shillings simple sold solid square stands subtract sugar Suppose TABLE tare term third thousand units weight whole whole numbers wine 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 226 - Obligation to be void, otherwise to remain in full force and virtue.

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.