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

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I have Eclectic Educationnal Series Ray's Algebra Part First 1848 edition.

I am looking for Part Two or any of the other Eclectic Series.

I also already have the New Higher Arithmetic.

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### Common terms and phrases

a-Ha a-Hb added algebraic quantities apples arithmetical series binomial bought bushels called cents a piece coëfficient common difference complete equation Completing the square denotes Divide the number dividend division dollars entire quantity equal exactly divide exponent expression 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 last term least common multiple letter 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 R E M A R ratio Ray's Reduce remainder represent the number required the numbers required to find result rule second degree sheep solution square root subtracted three numbers tion tities transposing twice unknown quantity whole number

### Popular passages

Page 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.

Page 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.

Page 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.

Page 102 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 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.

Page 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.

Page 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...

Page 235 - In any proportion the product of the means is equal to the product of the extremes.

Page 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.

Page 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.