Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies, Μέρος 1Sargent, Wilson & Hinkle, 1848 - 240 σελίδες |
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Σελίδα 57
... exactly divisible by the coëfficient of the divisor . 2d . When the same literal factor has a greater exponent in the divisor than in the dividend . 3d . When the divisor contains one or more literal factors , not found in the dividend ...
... exactly divisible by the coëfficient of the divisor . 2d . When the same literal factor has a greater exponent in the divisor than in the dividend . 3d . When the divisor contains one or more literal factors , not found in the dividend ...
Σελίδα 61
... exactly divisible by the first term of the arranged divisor ; or , when the first term of any of the remainders is not divisible by the first term of the divisor . 1. Divide 6a2 - 13ax + 6x2 by 2a - 3x . 6a2 - 13ax + 6x2 | 2a - 3x 6a2 ...
... exactly divisible by the first term of the arranged divisor ; or , when the first term of any of the remainders is not divisible by the first term of the divisor . 1. Divide 6a2 - 13ax + 6x2 by 2a - 3x . 6a2 - 13ax + 6x2 | 2a - 3x 6a2 ...
Σελίδα 68
... exactly contained in it . Thus , 2 is a divisor of 6 ; and a2 is a divisor or measure of a2x . ART . 88. - A prime number , is one which has no divisors except itself and unity . A composite number , is one which has one or more ...
... exactly contained in it . Thus , 2 is a divisor of 6 ; and a2 is a divisor or measure of a2x . ART . 88. - A prime number , is one which has no divisors except itself and unity . A composite number , is one which has one or more ...
Σελίδα 69
... exactly divisible only by itself and by unity . Thus , a , b , and b + c are prime quantities ; while ab and ab + ac are not prime . " ART . 90. - Two quantities , like two numbers , are said to be prime to each other , or relatively ...
... exactly divisible only by itself and by unity . Thus , a , b , and b + c are prime quantities ; while ab and ab + ac are not prime . " ART . 90. - Two quantities , like two numbers , are said to be prime to each other , or relatively ...
Σελίδα 70
... exactly divide each of its terms . Then the monomial divisor will be one fac tor , and the quotient the other . The reason of this rule is self- evident . Separate the following expressions into factors : 1. x + ax . 2. am + ac . 3. bc2 ...
... exactly divide each of its terms . Then the monomial divisor will be one fac tor , and the quotient the other . The reason of this rule is self- evident . Separate the following expressions into factors : 1. x + ax . 2. am + ac . 3. bc2 ...
Άλλες εκδόσεις - Προβολή όλων
Ray's Algebra, Part First: On the Analytic and Inductive Methods of ... Joseph Ray Πλήρης προβολή - 1848 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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 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 lemon letter manner method 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 ratio Ray's Reduce remainder represent the number required the numbers required to find result rule second degree sheep solution square root subtracted theorem three numbers tion tities transposing twice unknown quantity whole number
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 102 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 235 - In any proportion the product of the means is equal to the product of the extremes.
Σελίδα 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.
Σελίδα 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.