The elements of algebra |
Dentro del libro
Resultados 1-5 de 27
Página 4
... dividend as the numerator , and the divisor as the denominator , of a fraction , which forms an algebraical fraction . Thus , a ÷ b or a = 20 and b = α ō ' means that a is to be divided by b . If α 20 5 , then a ÷ b or = 20 ÷ 5 , or = 4 ...
... dividend as the numerator , and the divisor as the denominator , of a fraction , which forms an algebraical fraction . Thus , a ÷ b or a = 20 and b = α ō ' means that a is to be divided by b . If α 20 5 , then a ÷ b or = 20 ÷ 5 , or = 4 ...
Página 32
... dividend and divisor are simple quan- tities denoted by different letters . ( 74. ) Write the dividend and the divisor in the form of a fraction , the divisor being the denominator , and prefix the quotient of the coefficients , and the ...
... dividend and divisor are simple quan- tities denoted by different letters . ( 74. ) Write the dividend and the divisor in the form of a fraction , the divisor being the denominator , and prefix the quotient of the coefficients , and the ...
Página 33
... dividend be 5 and 4 , 5 their quotient is just expressed by 4 · If they are 12 and 8 , 12 3 it is expressed by or 2 ... dividend is just the product of the divisor by the quotient , it is evident from the rule for the signs in ...
... dividend be 5 and 4 , 5 their quotient is just expressed by 4 · If they are 12 and 8 , 12 3 it is expressed by or 2 ... dividend is just the product of the divisor by the quotient , it is evident from the rule for the signs in ...
Página 34
... dividend or divisor . it If the same quantity occur in the divisor and dividend , may be cancelled from both . As in multiplying powers of the same quantity , the sum of their exponents is taken , so in dividing , their difference is ...
... dividend or divisor . it If the same quantity occur in the divisor and dividend , may be cancelled from both . As in multiplying powers of the same quantity , the sum of their exponents is taken , so in dividing , their difference is ...
Página 35
... dividend exceeds that in the divisor . I ( 76. ) The dividend is just the product of the divisor and quotient ; and therefore if a7 is to be divided by a3 , the I a8 = a4 ; so = = a3 ; and quotient must evidently be a1 , or a7 a3 am + n ...
... dividend exceeds that in the divisor . I ( 76. ) The dividend is just the product of the divisor and quotient ; and therefore if a7 is to be divided by a3 , the I a8 = a4 ; so = = a3 ; and quotient must evidently be a1 , or a7 a3 am + n ...
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Términos y frases comunes
a²x a²x² a³x algebraical Algebraical Fractions annuity assumed ax² ax³ binomial coefficients continued fraction cube root cubic equation denote Divide dividend divisible divisor equa equal equations containing equidifferent evident EXAMPLES EXERCISES exponent expressed factors Find a number Find the cube Find the least Find the square Find the sum Find the value Find two numbers former given equations given quantity greatest common measure harmonic mean hence last term latter least common multiple Let the number logarithms method Multiply nth root number of terms permutations positive preceding prefixed proportional equation quadratic quan quotient radical sign ratio Rationalise the denominator Reduce relatively prime remainder required the numbers result rule second term solution square root subtract system of values taken theorem third tion tity unknown quantities vulgar fraction ах
Pasajes populares
Página 76 - Multiply each numerator by all the denominators except its own, for the new numerators ; and all the denominators together for A COMMON denominator. NOTE 1.
Página 317 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Página 339 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Página 309 - Find the nth term, and the sum of n terms of the natural series of numbers 1, 2, 3, 4 . . . . Ans.
Página 223 - 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 would it take each person to perform the same work alone?
Página 353 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 286 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Página 178 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...
Página 176 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?
Página 352 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.