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

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Page 14

... S miles , portional to one another , by the rule $ 94 statute 14 : : 8 : 6 ; that is ,

as 2 to 4 , so is 8 1690 degrees ✓ Prefixed to any numor , supposes that the

square root of that qumber is requred . v Prefixed to any number , supposes the

... S miles , portional to one another , by the rule $ 94 statute 14 : : 8 : 6 ; that is ,

as 2 to 4 , so is 8 1690 degrees ✓ Prefixed to any numor , supposes that the

square root of that qumber is requred . v Prefixed to any number , supposes the

**cube**... Page 179

What is the

nine digits . ... 64 | 81

EXTRACTION OF THE SQUARE ROOT . Any number multiplied into itself

produces a square .

What is the

**cube**of 25,4 ? What is ... A Table of the Squares and**Cubes**of thenine digits . ... 64 | 81

**Cubes**. | 1 | 8 | 27 | 64 | 125 | 216 343 512 | 729EXTRACTION OF THE SQUARE ROOT . Any number multiplied into itself

produces a square .

Page 183

... 26,0 45 the , diff , Answers . Least number , 17,0 EXTRACTION OF THE

ROOT . A

is to find a number , which , being multiplied into its square , shall produce the ...

... 26,0 45 the , diff , Answers . Least number , 17,0 EXTRACTION OF THE

**CUBE**ROOT . A

**cube**is any number multiplied by its square . To extract the**cube**root ,is to find a number , which , being multiplied into its square , shall produce the ...

Page 184

... by the square of the last quotient figure , and that product by 30 , and place the

product under the last ; tnen under these two products place the

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

... by the square of the last quotient figure , and that product by 30 , and place the

product under the last ; tnen under these two products place the

**cube**of the lastquotient figure , and add them together , calling their sum the subtrahend . 7.

Page 185

What is the

Of 146363,183 ? 52,7 6. Of 29,503629 ? 3,09 , 7. Of 80,763 ? 4,324 8. Of ,

162771336 ? , 546 9. Of , 000684134 ? 2088+ 10. Of 122615327232 ! 4968

RULE II .

What is the

**cube**root of 205379 ? 59 3. Of 614125 ? 85 4. Of 41421736 ? 346 5.Of 146363,183 ? 52,7 6. Of 29,503629 ? 3,09 , 7. Of 80,763 ? 4,324 8. Of ,

162771336 ? , 546 9. Of , 000684134 ? 2088+ 10. Of 122615327232 ! 4968

RULE II .

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### Common terms and phrases

acres added allowing amount annuity annum answer Bought Bring bushels called cent cloth common contain continue cost cube currency cyphers decimal Deduct demand denominator difference Divide dividend divisor dollars dols English equal EXAMPLES farthings federal money feet figure Find the value fraction gain gallon give given given number given sum gross half hundred inches interest least left hand length less loss measure merchants method miles mills mixed months Multiply New-York paid payment pence period piece pound present worth principal proportion quantity question quotient ratio received Reduce remainder right hand RULE sell share shillings simple sold solid sort square root sterling subtract sugar Table tare term third thousand unit whole whole number wine yards

### Popular passages

Page 174 - 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 190 - IS the method of finding what quantity of each of the ingredients whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation Medial, and may be proved by it. CASE I. When the mean rate of the whole mixture, and the rates of all the ingredients are given, without any limited quau

Page 40 - RULE.* 1. Place the numbers so that those of the same denomination may stand directly under each other. 2. Add the first column or denomination together, as in whole numbers; then divide the sum by as many of the same denomination as make one of the next greater...

Page 184 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.

Page 180 - ... it at the right hand of the given number, (after the manner of a quotient in division) for the first figure of the root, and the square number under the period, and subtract it therefrom, and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor.

Page 220 - To measure a parallelogram or long square. RULE.— Multiply the length by the breadth, and the product will be the area, or superficial content, in the same name as that in which the dimension was taken, whether inches, feet, or rods, etc.

Page 180 - ... subtract it therefrom, and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Page 211 - A hare starts 40 yards before a grey-hound, and is not perceived by him till she has been up 40 seconds : she scuds away at the rate of...

Page 228 - In the same manner multiply all the multiplicand by the inches, or second denomination, in the multiplier, and set the result of each term one place removed to the right hand of those in the multiplicand.

Page 238 - Obligation to be void, otherwise to remain in full force and virtue.