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according added algebraic arithmetical assume becomes binomial called cent changed coefficient common denominator complete containing continued cube root decimal denote determine difference diminished Divide dividend divisible dollars entire equal equation equivalent EXAMPLES exponent expression extract factors fifth figure Find the cube Find the square find the values five following RULE four fourth fraction give given greater greatest common divisor Hence increased indicates inequality infinite least common multiple less letter logarithm manner method miles Multiply negative number of terms obtain operation perform periods polynomial positive pounds preceding principle Prob problem progression proposed quotient raise ratio Reduce remainder represent Resolve result second term similar square root Substituting subtract suppose taken term third tion units unity unknown quantity whence whole written zero
Página 97 - 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...
Página 181 - 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.
Página 284 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Página 258 - We may obtain the sixth root by extracting the cube root of the square root, or the square root of the cube root. It is, however, best to extract the roots of the lowest degrees first, because the operation is less laborious. We may obtain the eighth root by extracting the square root three times successively.
Página 371 - ... force of attraction to vary directly as the quantity of matter, and inversely as the square of the distance, at what point between them will a third body be equally attracted by the earth and moon ? Ans.
Página 42 - Divide the coefficient of the dividend by the coefficient of the divisor.
Página 38 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 101 - RULE. Find an expression for the value of one of the unknown quantities in one of the equations, and substitute this value for the same unknown quantity in the other equation.