| Mathematics - 1801
...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 - 303 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, Nathan Daboll - Mathematics - 1826 - 107 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 - 617 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
...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 - 196 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 - 288 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 - 288 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 - Mathematics - 1836 - 472 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... | |
| James Bryce - 1837
...quantity to any power. RULE. 98. Multiply the quantity continually by itself, until it has been used **as a factor as many times as there are units in the index of the** required power. The reason of the rule is manifest from the nature of powers (Art. 14), involution... | |
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