University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página 19
... fourth example , the quantity a2bc is taken , additively , 53 , or 8 times , and negatively , 8 + 2 , or 10 times , and the sum is 8-10 , or 2 times a2bc . - In like manner , all other groups of similar quantities may be added . Hence ...
... fourth example , the quantity a2bc is taken , additively , 53 , or 8 times , and negatively , 8 + 2 , or 10 times , and the sum is 8-10 , or 2 times a2bc . - In like manner , all other groups of similar quantities may be added . Hence ...
Página 64
... FOURTH TRANSFORMATION . To reduce a mixed quantity to a fractional form . 66. This transformation is the converse of the pre- ceding , and may always be effected by the following RULE . Multiply the entire part by the denominator of the ...
... FOURTH TRANSFORMATION . To reduce a mixed quantity to a fractional form . 66. This transformation is the converse of the pre- ceding , and may always be effected by the following RULE . Multiply the entire part by the denominator of the ...
Página 92
... fourth as much as for the horse , and for the wagon as much as for the horse and harness together . What did he give for each ? Ans . $ 100 for the horse , $ 25 for the harness , and $ 125 for the wagon . 8. A drover sold from a flock ...
... fourth as much as for the horse , and for the wagon as much as for the horse and harness together . What did he give for each ? Ans . $ 100 for the horse , $ 25 for the harness , and $ 125 for the wagon . 8. A drover sold from a flock ...
Página 93
... fourth of the number that the first had was equal to one third of the number that the second had . How many had each ? Ans . 20 and 15 . 13. A man spent half of his money , and afterwards lost one third of what he had left , when he ...
... fourth of the number that the first had was equal to one third of the number that the second had . How many had each ? Ans . 20 and 15 . 13. A man spent half of his money , and afterwards lost one third of what he had left , when he ...
Página 109
... the second , is $ 1700 ; the stock of the second increased by one fourth that of the first , is $ 1800 . What is the stock of each ? Ans . $ 1200 and $ 1500 9. Find two numbers such that } the second shall PROBLEMS . 109.
... the second , is $ 1700 ; the stock of the second increased by one fourth that of the first , is $ 1800 . What is the stock of each ? Ans . $ 1200 and $ 1500 9. Find two numbers such that } the second shall PROBLEMS . 109.
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Términos y frases comunes
algebraic Arithmetic ax² Binomial Formula Clearing of fractions coefficients common difference containing contrary signs cube root Davies denominator denote the number distance dividend divisible equal roots equation whose roots EXAMPLES exponent expressions Extract the square factors Find the cube Find the fourth Find the greatest Find the square following RULE geometrical progression given equation greatest common divisor Hence imaginary indicated irreducible fraction last term least common multiple Let x denote logarithm miles monomial Multiplying both members negative nth root number of terms operation partial fractions polynomial positive preceding problem proportion quotient radical sign real roots Reduce remainder resulting equation roots equal second degree second member second term solved square root STURM'S THEOREM Substituting subtract third Transform the equation Transposing travels unknown quantity Whence whole number write X₁
Pasajes populares
Página 258 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 255 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.
Página 136 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Página 36 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 81 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 231 - If four quantities are in proportion, they will be in proportion by COMPOSITION...
Página 72 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.