## Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies, Part 1 |

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added addition algebraic apples arithmetical becomes binomial bought called cents changed coëfficient consists containing cost denominator denotes difference distance Divide dividend division dollars elimination entire equal equation evident exactly example exponent expressed extract the square factors figure Find Find the square Find the sum find the value four fourth fraction given gives greater greatest common divisor half Hence hour illustrate increased James lemon less letter manner means method miles minus monomial Multiply negative obtained operation orange peaches perfect square perform piece polynomial positive pound preceding prime principle problem proportion pupil question quotient radical ratio Reduce remainder represent required to find result rule second degree separated share shows sides similar simple solution solving square root subtracted suppose taken third tion twice units unknown quantity whole

### Popular passages

Page 98 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 22 - Required the distance from A to B, from B to C, and from C to D.

Page 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.

Page 134 - In any proportion, the product of the means is equal to the product of the extremes.

Page 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.

Page 62 - 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.

Page 78 - 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.

Page 59 - 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.

Page 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.

Page 217 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.