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 17
... Cube 1728 solid inches make 40 feet of round timber , e 50 feet of hewn timber , 128 solid feet or 8 feet long , 4 wide , and 4 high , t 1 square foot . 1 square yard . 1.square rod . I square rood . 1 square acre . 1 square mile ...
... Cube 1728 solid inches make 40 feet of round timber , e 50 feet of hewn timber , 128 solid feet or 8 feet long , 4 wide , and 4 high , t 1 square foot . 1 square yard . 1.square rod . I square rood . 1 square acre . 1 square mile ...
Page 18
... square root of that number is required . Prefixed to any number , supposes the cube root of that number is required . Denotes the biquidrate root , or fourth power , & c . 15 ARITHMETIC . ARITHMETIC 18 the art of computing by. CHARACTERS .
... square root of that number is required . Prefixed to any number , supposes the cube root of that number is required . Denotes the biquidrate root , or fourth power , & c . 15 ARITHMETIC . ARITHMETIC 18 the art of computing by. CHARACTERS .
Page 178
... . 8 64 2d power , or square . 8 512 3d power , or cube 8 4096 8 32768 - 4th power , or biquadrate . 5th power , or sursolid . Ans . What is the square of 17,1 ? What is the 178 1409 INVOLUTION . Inverse Proportion 467 Involution.
... . 8 64 2d power , or square . 8 512 3d power , or cube 8 4096 8 32768 - 4th power , or biquadrate . 5th power , or sursolid . Ans . What is the square of 17,1 ? What is the 178 1409 INVOLUTION . Inverse Proportion 467 Involution.
Page 179
... cube of 25,4 ? What is the biquadrate of 12 ? What is the square of 7 ? Ans . 292,41 Ans . , 007225 Ans . 16387,064 ... Cubes of the nine digits . Roots . | 1 | 2 | 3 | 4 | 1⁄2 5 | 6 | 71 8 | 9 Squares . 1 | 49 | 16 | 25 | 36 49 64 81 ...
... cube of 25,4 ? What is the biquadrate of 12 ? What is the square of 7 ? Ans . 292,41 Ans . , 007225 Ans . 16387,064 ... Cubes of the nine digits . Roots . | 1 | 2 | 3 | 4 | 1⁄2 5 | 6 | 71 8 | 9 Squares . 1 | 49 | 16 | 25 | 36 49 64 81 ...
Page 183
... CUBE ROOT . A cube is any number multiplied by its square . inte To extract the cube root , is to find a number , which , being multiplied square , shall produce the given number . RULE . 1. Separate the given number into periods of ...
... CUBE ROOT . A cube is any number multiplied by its square . inte To extract the cube root , is to find a number , which , being multiplied square , shall produce the given number . RULE . 1. Separate the given number into periods of ...
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Common terms and phrases
100 dollars 2qrs 3grs 3qrs acres annuity annum answer arithmetical series barter Bought bushels compound interest contain cyphers Deduct demand dimes divide the product dividend divisor dols equal EXAMPLES federal money figure Find the value gain or loss gallon geometrical series given number given quantity given sum gross guineas hundred improper fraction inches least common least common multiple left hand lowest terms measure miles mills milreas mixed numbers months Multiply the given neat weight New-England currency New-Jersey NOTE number of shillings number of terms paid payment pence piece pound pound sterling present worth principal quotient rate per cent ratio ready money Reduce remainder Required the interest right hand rods Rule of Three sell separatrix shillings simple interest sold solid feet Sqrs square root sterling subtract subtrahend sugar tare trett VULGAR FRACTIONS whole number wine
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.