The New Complete System of Arithmetick: Composed for the Use of the Citizens of the United States |
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Page 8
... Cube Root , Application and ufe of the Cube Root , Page 6217 218 220 222 226 233 235 236 Extraction of the Biquadrate Root , of the furfolids by approximation , A general rule for extracting the Roots of all Powers , 237 Proportion in ...
... Cube Root , Application and ufe of the Cube Root , Page 6217 218 220 222 226 233 235 236 Extraction of the Biquadrate Root , of the furfolids by approximation , A general rule for extracting the Roots of all Powers , 237 Proportion in ...
Page 215
... cube of ( 3. = 33 3X3X3X3 = 81 is the 4th power , or the biquad- ( rate of 3 , & c . 34 The number denoting the ... Cubes INVOLUTION . 215.
... cube of ( 3. = 33 3X3X3X3 = 81 is the 4th power , or the biquad- ( rate of 3 , & c . 34 The number denoting the ... Cubes INVOLUTION . 215.
Page 216
... Cubes , I I 2 . 3 、 6 2 I 41 6 16 25 36 . 8 91 64 81 8 27 64 3251 216 .4 12 Biquadrates , 16 81 ! 256 625 1296 2101 ... Cube , Squared ; 12 14096 53144116777216 244140625 217678233613841287201 687 1 9 4 7 6 7 36 28 2429536481 EXAMPLES ...
... Cubes , I I 2 . 3 、 6 2 I 41 6 16 25 36 . 8 91 64 81 8 27 64 3251 216 .4 12 Biquadrates , 16 81 ! 256 625 1296 2101 ... Cube , Squared ; 12 14096 53144116777216 244140625 217678233613841287201 687 1 9 4 7 6 7 36 28 2429536481 EXAMPLES ...
Page 217
... cube , biquadrate , or zd , 3d , 4th root , & c . ac- cordingly , as it is , when raifed to the 2d , 3d , 4th , & c . power , equal to that power . Thus , 4 is the fquare root of 16 ; becaufe 4X416 , and 3 is the cube root of 27 ...
... cube , biquadrate , or zd , 3d , 4th root , & c . ac- cordingly , as it is , when raifed to the 2d , 3d , 4th , & c . power , equal to that power . Thus , 4 is the fquare root of 16 ; becaufe 4X416 , and 3 is the cube root of 27 ...
Page 218
... cube root of 21 is 213 , and the fourth root of 37- 20 is 37--204 , & c . The EXTRACTION of the SQUARE ROOT . RULE 1. - Diftinguish the given number into periods of two figures each , by putting a point over the place of units , another ...
... cube root of 21 is 213 , and the fourth root of 37- 20 is 37--204 , & c . The EXTRACTION of the SQUARE ROOT . RULE 1. - Diftinguish the given number into periods of two figures each , by putting a point over the place of units , another ...
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A New and Complete System of Arithmetick: Composed for the Use of the ... Nicolas Pike No preview available - 2012 |
Common terms and phrases
affumed root amount of 11 anfwer annuity annum Anſ Avoirdupois bufhel Cafe compound intereft confequent coſt cube root currency cyphers decimal denominator diſcount divide the product dividend divifion divifor dollars equal EXAMPLES fame farthings fecond feet feries feven feveral fhall fhillings fhould fimple find the value firft firſt fquare root fraction fubtract fuch fugar gallons given fum given number given quantity greateſt grofs guineas improper fraction inches increaſed Integer laft laſt leaft lefs left hand Livres Livres Tournois lofs logarithm meaſure mixed number moidores months muft Mult multiplicand Multiply the giv muſt number of terms pence pounds prefent worth principal PROB Prod proportion purchaſe queſtion quotient rate per cent ratio Reduce 100l remainder RULE ſtock Subtrahend Suppofe TABLE tare third thofe tient TROY WEIGHT VULGAR FRACTIONS weight whofe whole numbers yards coft
Popular passages
Page 241 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 234 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 207 - Tare is an allowance made to the buyer for the weight of the box, barrel, or bag, &c. which contains the goods bought, and is either at so much per box, &c., at so much per cwt., or at so much in the gross weight.
Page 222 - 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 214 - Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points show the number of figures the root will consist of. 2. Find the greatest square number in the first, or left hand period...
Page 222 - RULE. 1. Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure beyond the place of units. 2. Find the greatest cube in the left hand period, and put its root in the quotient. 3.
Page 222 - Find the greatest cube in the left hand period, and put its root in the quotient. 3. Subtract the cube thus found, from the said period, and to the remainder bring down the next period, and call this the dividend.
Page 214 - ... 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 93 - ... therefore divide as in whole numbers, and from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 36 - ... setting down the remainder under the column added, and carry the quotient to the next superior denomination, continuing the same to the last, which add, as in simple addition.