# 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 σεκΏδερ

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### Ργλοωικό αποσπήσλατα

”εκΏδα 178 - 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.
”εκΏδα 61 - 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.
”εκΏδα 232 - Ratio is the quotient which arises from dividing one quantity by another of the same kind. Thus, the ratio of 2 to 6 is 3; the ratio of a to ma is m. REMARKS. — 1st In comparing two numbers or quantities by their quotient, the number expressing the ratio which the first bears to the second, will depend on which is made the standard of comparison.
”εκΏδα 102 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
”εκΏδα 106 - ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor.
”εκΏδα 81 - The least Common Multiple of two or more quantities is the least quantity that will contain them exactly. Thus, 6 is the least common multiple of 2 and 3 ; and lOxy is the least common multiple of 2x and by. NOTE. — LCM stands for least common multiple.
”εκΏδα 203 - The square of any polynomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
”εκΏδα 235 - In any proportion the product of the means is equal to the product of the extremes.
”εκΏδα 217 - If, then, any problem furnishes an equation in which the known term is negative, and greater than the square of half the coefficient of the first power of the unknown quantity, we infer, that the conditions of the problem are incompatible with each other.
”εκΏδα 149 - How much has each ? Ans. A \$980, B \$1540, and C \$2380. 11. 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.