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according to Art algebraic arithmetical arithmetical mean arithmetical progression binomial cents Charles Anthon coefficient Completing the square contrary sign cube root deduce denotes Divide the number dividend divisible equal equation containing example exponent expression extracting the square factors find the values following R U L fourth power fourth root fraction geometrical geometrical progression given equation greater greatest common divisor Hence inder inequality infinite series last term less letters taken LL.D means of logarithms method miles monomial multiplied negative nth root number of permutations number of terms obtain order of differences original equation polynomial positive preceding Prob problem proportion quadratic equations quotient radical quantities ratio Reduce remainder represent Required the number Required the square result second degree second term Sheep extra solved square root subtract surd theorem unity unknown quantity Whence whole number
Side 38 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Side 91 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Side 332 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Side 33 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Side 138 - The nth root of the product of any number of factors is equal to the product of the nth roots of those factors.
Side 168 - A vintner draws a certain quantity of wine out of a full vessel that holds 256 gallons ; and then filling the vessel with water, draws off the same quantity of liquor as before, and so on for four draughts, when there were only 81 gallons of pure wine left. How much wine did he draw each time ? 50.
Side 31 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Side 4 - A Grammar of the Greek Language, for the Use of Schools and Colleges. By Charles Anthon, LL.D.