 | Mathematics - 1801 - 446 pages
...given quantity, , .*»«.* .'_-, .. Multiply the quantity into itself, till the quantity be taken for a factor as many times as there .are units in th,e, index, and the last product will be the power required. Multiply the index of th^ quantity by the power, and... | |
 | Jeremiah Day - Algebra - 1814 - 304 pages
...the quantity into itself, till it is taken at a•Jctctor, as many times as there are units in tfte index of the power to which the quantity is to be...rule comprehends all the instances which can occur "m involution. But it will be proper to give an explanation, ef the manner ia which it is applied to... | |
 | Roswell Chamberlain Smith - Arithmetic - 1826 - 114 pages
...the multiplicand multiplier or both. o How many times do you multiply any number into itself? Ans. Till it is taken as a factor as many times as there are units in the index of the required power. What is the square of 4? Ans. 16. What is the exponent? Ans. 2. How many times was... | |
 | Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...both the divisor and 32 INVOLUTION BY LOGARITHMS. HULK. Multiply the logarithm of the number given, by the index of the power to which the quantity is to be raised, the product will be the logarithm of the power sought. But in raising the powers of any decimal fraction... | |
 | George Lees - 1826 - 276 pages
...Quantities. Ex. 1. Required the third power of 2a+36. ga-r-36 Square = Cube = 8a3+36a2H*4a62+2763When the index of the power to which the quantity is to be raised, is a large number, this process of continued multiplication would evidently become extremely tedious... | |
 | Roswell Chamberlain Smith - Arithmetic - 1827 - 216 pages
...Either the multiplicand, multiplier, or both. How many times do you multiply any number into itself? A. Till it is taken as a factor as many times as there are units in the index of the required power. What is the square of 4 ? A. 16. , What is the exponent ? A. 2. How many times was... | |
 | Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...involved. Hence, to involve a number, ; MULTIPLY IT BY ITÖELF UNTIL IT IS EMPLOYED A3 A FACTOR, AS OFTEN AS THERE ARE UNITS IN THE INDEX OF THE POWER, TO WHICH IT IS TO 11E RAISED. Involution may be abbreviated, by multiplying together any two or more poicTS... | |
 | Frederick Augustus Porter Barnard - Arithmetic - 1830 - 304 pages
...involved. Hence, to involve a number, MULTIPLY IT BY ITSELF UNTIL IT IS EMPLOYED A3 A FACTOR, AS OFTEX AS THERE ARE UNITS IN THE INDEX OF THE POWER, TO WHICH IT IS TO EE RAISED. Involution may be abbreviated, by multiplying together any two or more powTS of... | |
 | Jeremiah Day - Algebra - 1831 - 354 pages
...INVOLUTION. 210. Involution is finding any power oi a quantity, by multiplying it into itself. The reason of the following general rule is manifest,...of the manner in which it is applied to particular eases. 211. A single letter is involved, by giving it the index of the proposed power; or by repeating... | |
 | Mathematics - 1836 - 488 pages
...exponent shows how often a quantity is taken as a factor in u product. Rule for involving a quantity. Multiply the quantity into itself, till it is taken...of the power to which the quantity is to be raised. The power of the product of several factors, is equal to the product of their powers. The square of... | |
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MULTIPLY THE QUANTITY INTO ITSELF, TILL IT is TAKEN AS A FACTOR, AS MANY TIMES AS THERE ARE UNITS IN THE INDEX OF THE POWER TO WHICH THE QUANTITY IS TO BE RAISED. 
