A Treatise on the Elements of AlgebraThomas, Cowperthwait, & Company, 1841 - 224 sider |
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Academy algebraic quantities ANSW ANSWER arithmetic means arithmetic progression arithmetic series binomial coefficient College common denominator common difference compound interest consequently contained cube root decimal digits divide the number dividend divisible divisor engravings equal EXAMPLE expressed Extract the square Find the sum Find the value four quantities Frost's History geometric progression geometric series given number greater greatest common measure Hence increase integral or fractional JOHN last term least common multiple least number lesser number logarithm lowest terms manner means negative nth root number of terms number required numerator and denominator Philadelphia proportion quadratic equation quadratic surd question quotient radical sign Reduce remainder RULE School Geography square number square root substituting subtracted surd quantities Theorem THOMAS three numbers tion transposition United unknown quantities whole number
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Side 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.
Side 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...
Side 9 - The controllers of the public schools of the first school district of Pennsylvania...
Side 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.
Side 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.
Side 161 - If the sum of the digits of any number be divisible by 9, the number itself is divisible by 9.
Side 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.
Side 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.
Side 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...
Side 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...