A Treatise on the Elements of Algebra

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Thomas, Cowperthwait, & Company, 1841 - Algebra - 224 pages
 

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Page 215 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.
Page 60 - Thus, in the case of 53361 (whose square root is a number consisting of three figures) ; since the square of the figure standing in the hundred's place cannot be found either in the last period (61), or in the last but one (33), it must be found in...
Page 9 - The controllers of the public schools of the first school district of Pennsylvania...
Page 42 - Method of finding the Greatest Common Measure of two or more Quantities. 40. One quantity is said to measure another, when it is contained in that other a certain number of times, without a remainder. 41. A quantity is said to be a multiple of another, when it contains that other quantity a certain number of times, without a remainder. 42.
Page 55 - Arrange the terms according to the powers of some letter, beginning with the highest, and set the square root of the first term in the quotient. Subtract the square of the root thus found from the first term, and bring down the next two terms for a dividend.
Page 161 - If the sum of the digits of any number be divisible by 9, the number itself is divisible by 9.
Page 160 - A COMMON MULTIPLE of two or more numbers, is any number which is divisible by each of the given numbers; thus, 48 is a common multiple of 4, 6, and 8.
Page 62 - Sa^+Sa^+iV, without affecting the substance of the operation ; having, therefore, simplified the process as in the second operation, we are furnished with the following Rule for extracting the cube root of numbers.
Page 197 - ... the cologarithm of the denominator. Or in general, to find the logarithm of a fraction whose terms are composed of factors, Add together the logarithms of the factors of the numerator, and the cologarithms of the factors of the denominator. Note. The value of the above fraction may...
Page 128 - That is, the exponent of r in the second term is 1, in the third term 2, in the fourth term 3, and so on...

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