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

### From inside the book

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Page 14

Prefixed to any number , supposes the

Denotes the biquadrate root , or fourth power , & c . - ARITHMETIC is the art of

computing by numbers , CHA ! ACTERS . * Annuities or Pensions, at Compound

...

Prefixed to any number , supposes the

**cube**root of that number is required . ✓Denotes the biquadrate root , or fourth power , & c . - ARITHMETIC is the art of

computing by numbers , CHA ! ACTERS . * Annuities or Pensions, at Compound

...

Page 166

... number denoting the height of the power , is called the index or exponent of

that power . EXAMPLES What is the 5th power of 8 ? 8 the root or 1st power . 8 =

2d power , or square . 512 = 3d power , or

biquadrate .

... number denoting the height of the power , is called the index or exponent of

that power . EXAMPLES What is the 5th power of 8 ? 8 the root or 1st power . 8 =

2d power , or square . 512 = 3d power , or

**cube**. 4096 = 4th power , orbiquadrate .

Page 167

What is the

; ? Ans . 292 , 41 Ans . ... surd roots , and hose which are perfectly accurate are

called rational roots . A Table of the Squares and

What is the

**cube**of 25 , 4 ? What is the hiquadrate of 12 ? What is the square of 7; ? Ans . 292 , 41 Ans . ... surd roots , and hose which are perfectly accurate are

called rational roots . A Table of the Squares and

**Cubes**of the nine digits Roots . Page 171

Then to the sum of 21 , 5 ( numb . . tand4 , 5 V81 9 diff . of the Greatest wamber ,

44 the dift . 26 , 0 - 17 , 0 ) Answers . east number , EXTRACTION OF THE

ROOT . A

Then to the sum of 21 , 5 ( numb . . tand4 , 5 V81 9 diff . of the Greatest wamber ,

44 the dift . 26 , 0 - 17 , 0 ) Answers . east number , EXTRACTION OF THE

**CUBE**ROOT . A

**cube**is any number multiplied by its square . To extract the**cube**rout ... Page 172

... by the square of the last quotient figure , and that product by 311 , and place

the product . under the last ; then under these two products place the

last quotient figure , and add them together , calling their sun the subtrahend . 7 .

... by the square of the last quotient figure , and that product by 311 , and place

the product . under the last ; then under these two products place the

**cube**of thelast quotient figure , and add them together , calling their sun the subtrahend . 7 .

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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 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 loss 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.