An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 páginas |
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Página xi
... EXPONENTS , ETC. 145 Generalisation of preceding rules ..... 146 Examples of their application 149 Reduction of Surds To reduce Surds to their simplest forms ....... 150 151 To reduce Surds to a common index 153 Addition and Subtraction ...
... EXPONENTS , ETC. 145 Generalisation of preceding rules ..... 146 Examples of their application 149 Reduction of Surds To reduce Surds to their simplest forms ....... 150 151 To reduce Surds to a common index 153 Addition and Subtraction ...
Página xii
... exponent is a positive whole number ........ Application of the formula to examples ....... The Exponential Theorem in particular cases The Theory of Logarithms Extension of the Exponential Theorem to the general form On the ...
... exponent is a positive whole number ........ Application of the formula to examples ....... The Exponential Theorem in particular cases The Theory of Logarithms Extension of the Exponential Theorem to the general form On the ...
Página 26
... exponents or indices : the exponent or index for the square of a quantity is 2 ; the exponent or index for the cube is 3 ; that for the sixth power is 6 ; and so on . The learner will therefore 26 INTRODUCTION TO ALGEBRA . Definitions ...
... exponents or indices : the exponent or index for the square of a quantity is 2 ; the exponent or index for the cube is 3 ; that for the sixth power is 6 ; and so on . The learner will therefore 26 INTRODUCTION TO ALGEBRA . Definitions ...
Página 27
... exponents , and to avoid calling aa , four times a , b3 , three times b , & c . four times a is represented by 4a , three times b by 3b , & c . 4 a means that four a's are to be added , a1 means that they are to be multiplied . 19. The ...
... exponents , and to avoid calling aa , four times a , b3 , three times b , & c . four times a is represented by 4a , three times b by 3b , & c . 4 a means that four a's are to be added , a1 means that they are to be multiplied . 19. The ...
Página 48
... exponents are to be added , in division they are to be subtracted : that is , the exponent of the divisor is to be taken from that of the dividend , the re- 105 mainder is the exponent of the quotient . Thus , for three x's must be ...
... exponents are to be added , in division they are to be subtracted : that is , the exponent of the divisor is to be taken from that of the dividend , the re- 105 mainder is the exponent of the quotient . Thus , for three x's must be ...
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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.