A New and Complete System of Arithmetick: Composed for the Use of the Citizens of the United StatesThomas & Andrews, 1809 - 300 páginas |
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Página 6
... Cube . Prefixed to any number or quantity , figni- fies that the fquare root of that number is required . It likewife ( as alfo the character for any other root ) ftands for the expreffion of the root of that number or quantity to which ...
... Cube . Prefixed to any number or quantity , figni- fies that the fquare root of that number is required . It likewife ( as alfo the character for any other root ) ftands for the expreffion of the root of that number or quantity to which ...
Página 165
... cube of 3 3 × 3 × 3 × 3 = 81 is the 4th power , or the biquadrate of 3 , & c . = 32 = 3 3 = 34 The number denoting the power is called the index , or the exponent of that power . Thus , the 4th power of 3 is 81 , or 3 ; the fecond power ...
... cube of 3 3 × 3 × 3 × 3 = 81 is the 4th power , or the biquadrate of 3 , & c . = 32 = 3 3 = 34 The number denoting the power is called the index , or the exponent of that power . Thus , the 4th power of 3 is 81 , or 3 ; the fecond power ...
Página 166
... Cubes 6 64 729 4096 15625 46656 117649 262144 531441 Second Surfolids 71 128 2187 16384 78125 279936 823543 2097152 4782969 Squa Cube fquared 121 4096 531441 16777216244140625 2176782336 13841287201 68719476736 282429536481 EVOLUTION ...
... Cubes 6 64 729 4096 15625 46656 117649 262144 531441 Second Surfolids 71 128 2187 16384 78125 279936 823543 2097152 4782969 Squa Cube fquared 121 4096 531441 16777216244140625 2176782336 13841287201 68719476736 282429536481 EVOLUTION ...
Página 167
... cube , biquadrate , or 2d , 3d , 4th , & c . root , ac- cordingly as it is , when raised to the 2d , 3d , & c . power , equal to that power . Thus , 4 is the square root of 16 , because 4 × 4 = 16 , and 3 is the cube root of 27 ...
... cube , biquadrate , or 2d , 3d , 4th , & c . root , ac- cordingly as it is , when raised to the 2d , 3d , & c . power , equal to that power . Thus , 4 is the square root of 16 , because 4 × 4 = 16 , and 3 is the cube root of 27 ...
Página 171
... cube , which makes its tedious to difcover the value of the remain- der , especially in the cube . Now this trouble may be saved by the following method . In the fquare the quotient is always doubled for a new divifor Therefore when the ...
... cube , which makes its tedious to difcover the value of the remain- der , especially in the cube . Now this trouble may be saved by the following method . In the fquare the quotient is always doubled for a new divifor Therefore when the ...
Términos y frases comunes
aliquot amount annexed annuity annum anſwer Avoirdupois Boſton Bought bufhel cafe carats coft common difference compound intereft confequent coſt cube root cyphers decimal denominator diſcount divide dividend Divifion divifor dollars equal EXAMPLES fame farthings fecond Federal Money feet feries feveral fhall fhare fhillings fide filver fimple find the value firft term firſt fquare root fubtract fuch fugar gain or lofs gallons geometrical given number given price given quantity greateſt grofs Icwt improper fraction inches increaſed Integer laft laſt leaft lefs left hand leſs logarithm loweſt mixed number moidores months muft muſt number of terms pence pounds prefent worth principal PROB proportion purchaſe queſtion quotient rate per cent ratio Reduce refult remainder Rule of Three ſquare ſtand Suppofe TABLE tare theſe third thofe thoſe thouſand TROY WEIGHT VULGAR FRACTIONS whofe whole numbers whoſe yards coft
Pasajes populares
Página 60 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator; and they will form the fraction required.
Página 61 - Multiply each numerator into all the denominators except its own, for a new numerator : and all the denominators into each other continually for a common denominator; this written under the several new numerators will give the fractions required.
Página 73 - ADDITION OF DECIMALS. RULE. 1. Place the numbers, whether mixed or pure decimals, under each other, according to the value of their places.
Página 60 - Divide the numerator by the denominator. The quotient will be the whole number, and the remainder, if...
Página 75 - ... 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.
Página 28 - ... 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.
Página 175 - 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.
Página 161 - 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.
Página 59 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Página 175 - 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.