An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 páginas |
Dentro del libro
Resultados 1-5 de 17
Página 33
... correct the error . And generally , whenever quantities within brackets are to be subtracted , those of them only which have the plus sign are actually to be taken away and the others added ; because the notation implies that the real ...
... correct the error . And generally , whenever quantities within brackets are to be subtracted , those of them only which have the plus sign are actually to be taken away and the others added ; because the notation implies that the real ...
Página 35
... correct remainder . ( 1 ) From 7a + b — 3c Or , Take 2a - 3b + 5c Rem . 5a + 4b - 8c Το 7a + b - 3c Add -2a + 3b - 5c 5a + 4b - 8c ( 2 ) From 6a -5b + 2c Or , To 6a - 5b + 2c Take 13a + 76-2c Rem . 7a - 12b + 4c Add 13a7b + 2c 7a - 12b ...
... correct remainder . ( 1 ) From 7a + b — 3c Or , Take 2a - 3b + 5c Rem . 5a + 4b - 8c Το 7a + b - 3c Add -2a + 3b - 5c 5a + 4b - 8c ( 2 ) From 6a -5b + 2c Or , To 6a - 5b + 2c Take 13a + 76-2c Rem . 7a - 12b + 4c Add 13a7b + 2c 7a - 12b ...
Página 36
... correct remainder ; and the remainder above , namely , —2—8 + 10 + 4 + 2 , is evidently 6 also . The learner may frame examples of this kind for himself , and then test the accu- racy of the results as here shown : — ( 7 ) 2x2 - 5y + 92 ...
... correct remainder ; and the remainder above , namely , —2—8 + 10 + 4 + 2 , is evidently 6 also . The learner may frame examples of this kind for himself , and then test the accu- racy of the results as here shown : — ( 7 ) 2x2 - 5y + 92 ...
Página 37
... correct idea of the processes so designated as the same terms do in common arithmetic . In the latter subject , a quantity added to another always increases it ; and a quantity subtracted from another always diminishes it . Addition and ...
... correct idea of the processes so designated as the same terms do in common arithmetic . In the latter subject , a quantity added to another always increases it ; and a quantity subtracted from another always diminishes it . Addition and ...
Página 39
... correct product sought is -15a2x3y . Again , if we have to multiply —4a2x3y by - 3abay , then , the signs being like , the sign of the pro- duct will be plus , the product of the coefficients 12 , and the product of the letters abay ...
... correct product sought is -15a2x3y . Again , if we have to multiply —4a2x3y by - 3abay , then , the signs being like , the sign of the pro- duct will be plus , the product of the coefficients 12 , and the product of the letters abay ...
Otras ediciones - Ver todas
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.