## 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 |

### Other editions - View all

### Common terms and phrases

added algebraic quantities apples arithmetical progression arithmetical series binomial bought bushels called cents a piece coefficient common difference complete equation Completing the square denotes Divide the number dividend division dollars entire quantity equal exactly divide exponent expressed extracting the square Find a number find the greatest Find the product Find the square Find the sum find the value fraction geometrical progression geometrical series Give an example greater greatest common divisor Hence last term least common multiple lemon letter 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 radical ratio Reduce remainder represent the number required the numbers required to find result rule second degree solution square root subtracted theorem three numbers tion tities transposing twice unknown quantity whole number

### Popular passages

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

Page 64 - 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 176 - 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 97 - Reduce the fractions, if necessary, to a common denominator; add the numerators together, and place their sum over the common denominator.

Page 201 - Since the square of a binomial 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 238 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.

Page 168 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.

Page 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.

Page 61 - ... the first term of the quotient ; multiply the divisor by this term, and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...