University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página 12
... writing one quantity over the other , in the form of a fraction ; or the sign of division may be replaced by a straight or curved line . Thus , the expres P sions , p , and p2 , are all equivalent . 5th . The Exponential Sign . The ...
... writing one quantity over the other , in the form of a fraction ; or the sign of division may be replaced by a straight or curved line . Thus , the expres P sions , p , and p2 , are all equivalent . 5th . The Exponential Sign . The ...
Página 18
... writing the quantities one after the other , with their proper signs ; thus , 3ac2 + 4b2 . 18. To deduce a rule for adding similar terms , let us take the following examples : ( 1. ) ( 2. ) ( 3. ) ( 4. ) 4- 7a2bc -- 2a2bc + a2bc + 8a2bc ...
... writing the quantities one after the other , with their proper signs ; thus , 3ac2 + 4b2 . 18. To deduce a rule for adding similar terms , let us take the following examples : ( 1. ) ( 2. ) ( 3. ) ( 4. ) 4- 7a2bc -- 2a2bc + a2bc + 8a2bc ...
Página 19
... write them down , so that each group of similar quantities may fall in a column by itself . We may , therefore , write the following rule for the ad lition of algebraic quantities : RULE . 1. Write down the quantities to be added , so ...
... write them down , so that each group of similar quantities may fall in a column by itself . We may , therefore , write the following rule for the ad lition of algebraic quantities : RULE . 1. Write down the quantities to be added , so ...
Página 22
... write the quantities so that similar terins shall fall in the same column . We may therefore write the following RULE . 1. Write down the quantities so that the 22 ELEMENTS OF ALGEBRA .
... write the quantities so that similar terins shall fall in the same column . We may therefore write the following RULE . 1. Write down the quantities so that the 22 ELEMENTS OF ALGEBRA .
Página 23
... Write down the quantities so that the terms of the subtrahend shall fall under the similar ones of the minuend . II . Conceive the signs of all the hend to be changed from and proceed as in Addition . to terms of the subtra or from - to ...
... Write down the quantities so that the terms of the subtrahend shall fall under the similar ones of the minuend . II . Conceive the signs of all the hend to be changed from and proceed as in Addition . to terms of the subtra or from - to ...
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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.