Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and AcademiesSargent, Wilson & Hinkle, 1848 - 240 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 57
... exactly divisible by the coefficient 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 coefficient 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 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. be2 ...
... 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. be2 ...
Σελίδα 71
... exactly divisible by a - b ; hence , it is exactly divisible by both a + b and a - b ; and the other factor will be found by dividing by their product . Or , it may be separated into factors , according to paragraph 2d , above , thus ...
... exactly divisible by a - b ; hence , it is exactly divisible by both a + b and a - b ; and the other factor will be found by dividing by their product . Or , it may be separated into factors , according to paragraph 2d , above , thus ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
added algebraic quantities apples arithmetical progression arithmetical series binomial 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 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 ratio Reduce remainder represent the cost represent the number required the numbers required to find result rule second degree solution square root subtracted theorem three numbers tion tities transposing unknown quantity whole number
Δημοφιλή αποσπάσματα
Σελίδα 100 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 22 - Required the distance from A to B, from B to C, and from C to D.
Σελίδα 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.
Σελίδα 136 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 122 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Let x be the number of leaps taken by the hound.
Σελίδα 62 - 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.
Σελίδα 78 - To find the greatest common divisor of three or more quantities, first find the greatest common divisor of two of them ; then, of that divisor and one of the other quantities, and so on. The last divisor thus found, will be the greatest common divisor sought.
Σελίδα 59 - 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 137 - A farmer has 2 horses, and a saddle worth 25 dollars ; now, if the saddle be put on the first horse, his value will be double that of the second ; but, if the saddle be put on the second horse, his value will be three times that of the first.
Σελίδα 219 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.