Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...Harper & Brothers, 1846 - 358 σελίδες |
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Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 9
... Greatest Common Divisor ( 136-138 ) To Reduce a Fraction to its Lowest Terms ( 139 ) The Least Common Multiple ( 140 ) Reduction of Fractions to a Common Denominator ( 141 ) Least Common Denominator ( 142 ) Addition of Fractions ( 143 ...
... Greatest Common Divisor ( 136-138 ) To Reduce a Fraction to its Lowest Terms ( 139 ) The Least Common Multiple ( 140 ) Reduction of Fractions to a Common Denominator ( 141 ) Least Common Denominator ( 142 ) Addition of Fractions ( 143 ...
Σελίδα 52
... divisor under it , and con- nect , by its proper sign , the fraction so formed to the integral part . EXAMPLES . 1. Reduce 20a1 - 12a3x 4a to a whole quantity . Ans . 5a3 - 3a2x a2 + 2ab + b2 - 1 2 ... Greatest Common Divisor (136-138)
... divisor under it , and con- nect , by its proper sign , the fraction so formed to the integral part . EXAMPLES . 1. Reduce 20a1 - 12a3x 4a to a whole quantity . Ans . 5a3 - 3a2x a2 + 2ab + b2 - 1 2 ... Greatest Common Divisor (136-138)
Σελίδα 53
... common divisor is divided by the smaller , the remainder will be divisible by the common divisor . 137. From the preceding principles we deduce the follow- ing general ... greatest common divisor of a3 SECT . III . ] 53 ALGEBRAIC FRACTIONS .
... common divisor is divided by the smaller , the remainder will be divisible by the common divisor . 137. From the preceding principles we deduce the follow- ing general ... greatest common divisor of a3 SECT . III . ] 53 ALGEBRAIC FRACTIONS .
Σελίδα 54
... greatest common divisor is a - x . 2. Find the greatest common divisor of a3 — ab2 and a2 + 2ab + b2 . Dividing a3 - ab2 by a , we obtain a2 — b2 . First Division . a2 + 2ab + b2 la2 —b2 a2 - 62 1 Dividing by 26 ) 2ab + 2b2 a + b Second ...
... greatest common divisor is a - x . 2. Find the greatest common divisor of a3 — ab2 and a2 + 2ab + b2 . Dividing a3 - ab2 by a , we obtain a2 — b2 . First Division . a2 + 2ab + b2 la2 —b2 a2 - 62 1 Dividing by 26 ) 2ab + 2b2 a + b Second ...
Σελίδα 55
... greatest common divisor is a2 — x2 . 4. Find the greatest common divisor of a - b1 and a3 — b3 . First Division . at b1 a3 _b3 a2 - ab3 Dividing by b3 ) · ab3 — b1 α Second Division . a3 b3 a - b a3 - a2b a2 + ab + b2 a2b— b3 a2b - ab2 ...
... greatest common divisor is a2 — x2 . 4. Find the greatest common divisor of a - b1 and a3 — b3 . First Division . at b1 a3 _b3 a2 - ab3 Dividing by b3 ) · ab3 — b1 α Second Division . a3 b3 a - b a3 - a2b a2 + ab + b2 a2b— b3 a2b - ab2 ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Algebra: Embracing Also the Theory and Application of Logarithms ... Davis Wasgatt Clark Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Elements of Algebra: Embracing Also the Theory and Application of Logarithms Davis Wasgatt Clark Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
added algebraic arithmetical arithmetical series binomial Binomial Theorem cent coefficients continued fraction cube root cubic equation decimal digits dividend Dividing divisible equal EXAMPLES Expand exponent expression Extract the square factors fifth power figure Find the values following general RULE formula fourth power fourth root geometrical series given number greater greatest common divisor Hence inequation infin infinite series last term least common multiple less letters logarithm monomials Multiply number consisting number of terms obtain order of difference polynomial proposed number quotient radical sign ratio Reduce the equation remainder represent Required the fifth Required the fourth Required the second Required the simplest Required the square Required the third result second power second term share simplest form square root Substituting subtract tens Theorem third power third root three numbers tion Transposing unknown quantities vulgar fraction Whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 165 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 171 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Σελίδα 209 - Several gentlemen made an excursion, each taking the same sum of money. Each had as many servants attending him as there were gentlemen ; the number of dollars which each had was double the number of all the servants, and the whole sum of money taken out was 3456 dollars.
Σελίδα 172 - Subtract this square number from the first period, and to the remainder bring down the next period for a dividend.
Σελίδα 42 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 68 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 233 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Σελίδα 232 - BY RATIO is meant the relation which one quantity bears to another, with respect to magnitude. It is evident that this relation can exist only between quantities of a similar kind ; thus, a number must be compared with a number; a line with a line; &c. &c. ; and it would be absurd to compare a certain number of feet with a certain number of pomds; &c.
Σελίδα 60 - The least common multiple of two or more numbers, is the least number which can be divided by each of them without a remainder.
Σελίδα 20 - 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.