An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα vii
... Fractions . SECT . I. Theory of algebraic fractions , 76 II . Method of finding the greatest common divisor of two or more quantities , 83 III . Method of finding the least common multiple 101 of two or more quantities , IV . Reduction ...
... Fractions . SECT . I. Theory of algebraic fractions , 76 II . Method of finding the greatest common divisor of two or more quantities , 83 III . Method of finding the least common multiple 101 of two or more quantities , IV . Reduction ...
Σελίδα ix
... fraction whose denomina- tor is a simple or a binomial surd , to another that shall have a rational denominator , 353 V. Method of extracting the square root of bino- mial surds , 360 VI . Calculation of imaginary quantities , 365 ...
... fraction whose denomina- tor is a simple or a binomial surd , to another that shall have a rational denominator , 353 V. Method of extracting the square root of bino- mial surds , 360 VI . Calculation of imaginary quantities , 365 ...
Σελίδα 3
... fractions , by continual addition , may pro- perly be termed a multiple fraction ; the number of simple fractions composing it , is denoted by the upper figure or numerator . In this sense , 1 , 3 , 4 , are multiple fractions ; and 3 ...
... fractions , by continual addition , may pro- perly be termed a multiple fraction ; the number of simple fractions composing it , is denoted by the upper figure or numerator . In this sense , 1 , 3 , 4 , are multiple fractions ; and 3 ...
Σελίδα 8
... fraction , or pro- portion , are the several parts or quantities of which they are composed ; thus , a and b are the terms of ab , or of ; and a , b , c , d , are the terms of the proportion ab :: c : d . a b 26. A measure , or divisor ...
... fraction , or pro- portion , are the several parts or quantities of which they are composed ; thus , a and b are the terms of ab , or of ; and a , b , c , d , are the terms of the proportion ab :: c : d . a b 26. A measure , or divisor ...
Σελίδα 46
... fraction , of which the numerator is the product of all the letters of the dividend , not common to the di- visor , and the denominator all those of the divisor not common to the dividend : thus , abc divided by amb , gives for the ...
... fraction , of which the numerator is the product of all the letters of the dividend , not common to the di- visor , and the denominator all those of the divisor not common to the dividend : thus , abc divided by amb , gives for the ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Algebra: Theoretical and Practical James Ryan,Robert Adrain Πλήρης προβολή - 1824 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+ab+b² according added algebraic quantities arithmetical becomes binomial changing the signs coefficients common denominator completing the square compound quantity consequently cube root demonstrated difference divi divided dividend division equa equal exponent expression extracting the root factors find the values formula fourth fraction required greater greatest common divisor greatest common measure Hence improper fraction least common multiple less letter logarithm lowest terms lues magnitudes manner mixed quantity multiplied number of terms numbers or quantities observed operation positive prefixed Prob problem proper sign proportionals proposed equation quadratic quadratic equations quan quotient radical sign ratio Reduce remainder Required the square required to find result RULE shillings side simple equations square root substituting subtracted surd third tion tity transposition unity unknown quantity values of x whence whole number