University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página 16
... similar or like , when the combination of literal factors is the same in both . Thus , the terms 8x2yz and 7x2yz , are similar , as are also the terms 25a2bcd3 and 2a2bcd3 . In order that two terms may be similar , they must contain the ...
... similar or like , when the combination of literal factors is the same in both . Thus , the terms 8x2yz and 7x2yz , are similar , as are also the terms 25a2bcd3 and 2a2bcd3 . In order that two terms may be similar , they must contain the ...
Página 18
... similar , the addition may be performed ; when they are not similar , the operation can only be indicated . Thus , the sum of 7a2b and 4a2b , is 11a2b ; in the same way that the sum of 7 pounds and 4 pounds , is 11 pounds . The sum of ...
... similar , the addition may be performed ; when they are not similar , the operation can only be indicated . Thus , the sum of 7a2b and 4a2b , is 11a2b ; in the same way that the sum of 7 pounds and 4 pounds , is 11 pounds . The sum of ...
Página 19
... similar quantities may be added . Hence , the following rule for adding similar quantities . RULE . Add the coefficients of the positive terms and of the negative terms separately ; subtract the less sum from , the greater , prefixing ...
... similar quantities may be added . Hence , the following rule for adding similar quantities . RULE . Add the coefficients of the positive terms and of the negative terms separately ; subtract the less sum from , the greater , prefixing ...
Página 22
... - In practice , it will be found convenient to 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 .
... - In practice , it will be found convenient to 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
... 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 + , EXAMPLES . ( 1. ) · ( 2. ) ( 3. ) ( 4. ) 12ab 8a2bc 13arb 5arbic Sab 4a2bc ...
... 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 + , EXAMPLES . ( 1. ) · ( 2. ) ( 3. ) ( 4. ) 12ab 8a2bc 13arb 5arbic Sab 4a2bc ...
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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.