Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies
Sargent, Wilson & Hinkle, 1848 - 240 σελίδες
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Elementary Algebra ; Ray's Algebra: Part First, on the Analytic and ...
Πλήρης προβολή - 1848
added algebraic quantities arithmetical progression arithmetical series binomial called cents a piece coefficient common difference complete equation Completing the square denotes Divide the number dividend division dollars elimination entire quantity exactly divide exponent expressed extract the square find the greatest Find the product Find the square Find the sum find the value following examples fourth geometrical progression geometrical series Give an example greater greatest common divisor Hence hour last term least common multiple lemon costs letter method miles minus monomial negative quantities number of terms peaches perfect square polynomial positive quantity pound of coffee preceding prime factors principle proportion pupil quan question quotient ratio Reduce remainder represent the cost represent the number required the numbers required to find result rule second degree solution square root subtracted theorem three numbers tion tities transposing unknown quantity whole number
Σελίδα 98 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 174 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 134 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 120 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Let x be the number of leaps taken by the hound.
Σελίδα 60 - 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.
Σελίδα 76 - To find the greatest common divisor of three or more quantities, first find the greatest common divisor of two of them ; then, of that divisor and one of the other quantities, and so on. The last divisor thus found, will be the greatest common divisor sought.
Σελίδα 57 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Σελίδα 135 - A farmer has 2 horses, and a saddle worth 25 dollars ; now, if the saddle be put on the first horse, his value will be double that of the second ; but, if the saddle be put on the second horse, his value will be three times that of the first.