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

Wilson, Hinkle & Company, 1848 - 240 sider

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Side 102 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Side 102 - An examination of each of these examples, will show that the process consists in reducing the quantities to a common denominator, and then dividing the numerator of the dividend, by the numerator of the divisor. But, as the common denominator...
Side 24 - A, from A to B, from B to C, and from C to...
Side 145 - How much has each ? Ans. A \$980, B \$1540, and C \$2380. 1 1. A certain number is expressed by three figures, and the sum of the figures is 1 1 ; the figure in the place of units, is double that in the place of hundreds ; and if 297 be added to the number, its figures will be inverted ; required the number. Ans. 326.
Side 27 - Va denotes the cube root of a. v'a, denotes the fourth root of a. The number placed over the radical sign is called the index of the root. Thus, 2 is the index of the square root,• 3 of the cube root, 4 of the fourth root, &c.
Side 122 - In any proportion, the product of the means is equal to the product of the extremes.
Side 60 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second.
Side 24 - ... the head and tail together ; what is the length of the fish ? 3. The head of a fish is 12 inches long, the tail is as long as the head + £ of the body, and the body is as long as the head and tail ; what is the length of the fish ? 4.
Side 225 - Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by the ratio, less 1 ; the quotient will be the sum of the series required.
Side 181 - Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder.