An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα vii
... fractions , VI . Multiplication and division of algebraic frac- tions , VII . Resolution of algebraic fractions or quotients into infinite series , 104 122 129 135 Page CHAPTER III . On Simple Equations involving only one.
... fractions , VI . Multiplication and division of algebraic frac- tions , VII . Resolution of algebraic fractions or quotients into infinite series , 104 122 129 135 Page CHAPTER III . On Simple Equations involving only one.
Σελίδα viii
... involving only one unknown quantity , III . Examples in simple equations , involving only one unknown quantity , 161 162 169 179 CHAPTER IV . SECT . On Simple Equations , involving two or more un- known Quantities , I. Elimination of ...
... involving only one unknown quantity , III . Examples in simple equations , involving only one unknown quantity , 161 162 169 179 CHAPTER IV . SECT . On Simple Equations , involving two or more un- known Quantities , I. Elimination of ...
Σελίδα x
... involving only one unknown quantity , II . Solution of problems producing quadratic equa- tions involving more than one unknown quantity , Page 382 389 395 404 413 419 CHAPTER XII . On the Binomial Theorem , 426 SECT . I. Investigation ...
... involving only one unknown quantity , II . Solution of problems producing quadratic equa- tions involving more than one unknown quantity , Page 382 389 395 404 413 419 CHAPTER XII . On the Binomial Theorem , 426 SECT . I. Investigation ...
Σελίδα 96
... . a2 bm + ac2m - d3m a2 bm + abd2 Divisor . am + d2 Partial quot . 1st rem . ac2m - abd2 -d3m | ab + c2 + ac2m + c3 d2 2d rem . -abd2 ——c2 d2 -d3m By the first operation , the terms involving a2 are 96 ALGEBRAIC FRACTIONS .
... . a2 bm + ac2m - d3m a2 bm + abd2 Divisor . am + d2 Partial quot . 1st rem . ac2m - abd2 -d3m | ab + c2 + ac2m + c3 d2 2d rem . -abd2 ——c2 d2 -d3m By the first operation , the terms involving a2 are 96 ALGEBRAIC FRACTIONS .
Σελίδα 97
... involving a2 are taken away from the dividend , and there remain no terms involving a except in the first power . In order to make them disappear , we will at first di- vide the term ac2m by am , and it gives for the quo- tient c2 ...
... involving a2 are taken away from the dividend , and there remain no terms involving a except in the first power . In order to make them disappear , we will at first di- vide the term ac2m by am , and it gives for the quo- tient c2 ...
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