University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página vi
... Numbers .. Higher Roots of Numbers .. Higher Roots of Fractions .. Roots of Monomials .... Roots c Polynomials .. 141 143 147 149 152 155 .. CHAPTER VIII . PAGE Transformation of Radicals .... 161 Addition vi CONTENTS .
... Numbers .. Higher Roots of Numbers .. Higher Roots of Fractions .. Roots of Monomials .... Roots c Polynomials .. 141 143 147 149 152 155 .. CHAPTER VIII . PAGE Transformation of Radicals .... 161 Addition vi CONTENTS .
Página vii
... Transformation of Radicals .... 161 Addition of Radicals .... 170 Subtraction of Radicals .. Multiplication of Radicals .. Division of Radicals .. Reduction of Radicals .. 172 173 · 170 173 Imaginary Quantities ... Radical Equations ...
... Transformation of Radicals .... 161 Addition of Radicals .... 170 Subtraction of Radicals .. Multiplication of Radicals .. Division of Radicals .. Reduction of Radicals .. 172 173 · 170 173 Imaginary Quantities ... Radical Equations ...
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... transformed , as indicated in the following example : 421 4x1 4x1 - - -- 14x3y + 4x2z 210 + 10 , ― ( 14x3y - 4m2 + 2w10 ) , 14x3y - ( - 4x2 + 2w — 10 ) , - 424 - 14x3y + 4x2z ( 210 - 10 ) . These expressions are all equivalent , the ...
... transformed , as indicated in the following example : 421 4x1 4x1 - - -- 14x3y + 4x2z 210 + 10 , ― ( 14x3y - 4m2 + 2w10 ) , 14x3y - ( - 4x2 + 2w — 10 ) , - 424 - 14x3y + 4x2z ( 210 - 10 ) . These expressions are all equivalent , the ...
Página 60
... TRANSFORMATION OF FRACTIONS . 62. The transformation of a quantity , is the operation of changing its form , without altering its value . FIRST TRANSFORMATION . To reduce an entire quantity to a fractional form hav- ing a given ...
... TRANSFORMATION OF FRACTIONS . 62. The transformation of a quantity , is the operation of changing its form , without altering its value . FIRST TRANSFORMATION . To reduce an entire quantity to a fractional form hav- ing a given ...
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... TRANSFORMATION To reduce a fraction to its lowest terms . 64. A fraction is in its lowest terms , when the numer- ator and denominator contain no common factors . It has been shown , that both terms of a fraction may be divided by the ...
... TRANSFORMATION To reduce a fraction to its lowest terms . 64. A fraction is in its lowest terms , when the numer- ator and denominator contain no common factors . It has been shown , that both terms of a fraction may be divided by the ...
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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.