An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 páginas |
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Página x
... Extraction of the Cube Root of a Compound Quantity ...... 73 New mode of arrangement proposed for the Square Root Application of this method to Examples ALGEBRAIC FRACTIONS CHAPTER III . Introduction to the Algebraic processes by means ...
... Extraction of the Cube Root of a Compound Quantity ...... 73 New mode of arrangement proposed for the Square Root Application of this method to Examples ALGEBRAIC FRACTIONS CHAPTER III . Introduction to the Algebraic processes by means ...
Página xi
... extract the Square Root of a Binomial Surd .... 159 On Imaginary or Impossible Quantities .. 161 Multiplication of Imaginary Quantities 164 166 Division of Imaginary Quantities CHAPTER VII . ON QUADRATIC EQUATIONS WITH ONLY ONE UNKNOWN ...
... extract the Square Root of a Binomial Surd .... 159 On Imaginary or Impossible Quantities .. 161 Multiplication of Imaginary Quantities 164 166 Division of Imaginary Quantities CHAPTER VII . ON QUADRATIC EQUATIONS WITH ONLY ONE UNKNOWN ...
Página 59
... extracting the root , the process comes under the general name of Evolution . There is another important distinction , too ... extraction of roots . If the operation terminates in a re- mainder , which no continuation of the process can ...
... extracting the root , the process comes under the general name of Evolution . There is another important distinction , too ... extraction of roots . If the operation terminates in a re- mainder , which no continuation of the process can ...
Página 63
... extracted is even , and no special re- strictions are imposed . Thus , the square root of 16 is ambi- guously either 4 or -4 , because either fulfils the condition of a square root of 16 , inasmuch as that the two factors -4x - 4 , as ...
... extracted is even , and no special re- strictions are imposed . Thus , the square root of 16 is ambi- guously either 4 or -4 , because either fulfils the condition of a square root of 16 , inasmuch as that the two factors -4x - 4 , as ...
Página 65
... extract a root of a monomial or simple quantity : - RULE . First , write down the root of the coefficient with its proper sign , remembering that an odd root of any quantity has the same sign as that quantity ; and that an even root of ...
... extract a root of a monomial or simple quantity : - RULE . First , write down the root of the coefficient with its proper sign , remembering that an odd root of any quantity has the same sign as that quantity ; and that an even root of ...
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An Introduction to Algebra, and to the Solution of Numerical Equations John Radford Young Sin vista previa disponible - 2015 |
Términos y frases comunes
actually algebraists arithmetic brackets called changed coefficients common denominator complete square Completing the square compound quantity consequently cube root difference divi Divide dividend equa equal EXAMPLES FOR EXERCISE exponents extract the square Extracting the root factors figure formula given greatest common measure hence imaginary improper fraction indicated known leading term learner least common multiple letters logarithms multiplication and division multiplied namely notation nth root operation pair polynomial positive preceding principle proper signs proposed equation quadratic equation quadratic surd question quotient radical sign ratic rational reduced remainder represent result rule rule of signs second term side simple equation simple quantity simultaneous equations solution solved square root step substitution symbols thing third tion transformed equation Transposing transposition trial divisor unknown quantity unknown terms write zero
Pasajes populares
Página 69 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Página 144 - If the number be divided by the sum of the digits, the quotient will be 26; but, if 198 be added to it, the digits will be inverted.
Página 144 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the sum, difference, product, and quotient so obtained, will be all equal to each other.
Página 182 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.
Página 141 - If A and в together can perform a piece of work in 8 days, A and с together in 9 days, and в and с in 10 days, how many days will it take each person to perform the same work alone.
Página 142 - What fraction is that, to the numerator of which, if 4 be added, the value is 1, but if 7 be added to its denominator, its value will be | ? Ans.
Página 130 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 180 - A farmer bought some sheep for £72, and found that if he had received 6 more for the same money, he would have paid £1 less for each. How many sheep did he buy ?
Página 142 - ... 6. There is a number consisting of two digits, which is equal to four times the sum of those digits; and if 18 be added to it, the digits will be inverted. What is the number?
Página 126 - Two workmen A and B were engaged to work for a certain number of days at different rates. At the end of the time, A who had played 4 of those days had 75 shillings to receive ; but B who had played 7 of those days received only 48 shillings.