A Treatise on AlgebraHarper & Brothers, 1882 - 384 páginas |
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Página 11
... remainder of 3. In like manner , 12-7 is equal to 5 , etc. Sometimes we may have several numbers to subtract from a single one . Thus , 16-5-4 indicates that 5 is to be subtracted from 16 , and this remainder is to be further diminished ...
... remainder of 3. In like manner , 12-7 is equal to 5 , etc. Sometimes we may have several numbers to subtract from a single one . Thus , 16-5-4 indicates that 5 is to be subtracted from 16 , and this remainder is to be further diminished ...
Página 22
... remainder , and then subtract a from the last sum , the result of which operation is 5a . That is , 5a - 2a + 3a - a - ɔ̃a . It is generally most convenient to take the sum of the posi tive quantities , which in the preceding case is 8a ...
... remainder , and then subtract a from the last sum , the result of which operation is 5a . That is , 5a - 2a + 3a - a - ɔ̃a . It is generally most convenient to take the sum of the posi tive quantities , which in the preceding case is 8a ...
Página 25
... remainder . Let it be required to subtract 8-3 from 15 . Now 8-3 is equal to 5 ; and 5 subtracted from 15 leaves 10. The result , then , must be 10. But , to perform the opera- tion on the numbers as they were given , we first subtract ...
... remainder . Let it be required to subtract 8-3 from 15 . Now 8-3 is equal to 5 ; and 5 subtracted from 15 leaves 10. The result , then , must be 10. But , to perform the opera- tion on the numbers as they were given , we first subtract ...
Página 26
... Remainder 8ax2 -6abx2 7abx - 3 5abx2 -15a2bc 6 . 7 . From 3a2 + 4b - 2x 8 . a2 + 2ab + b2 Subtract a2 + 76-8x Remainder 2a2-3b + 6x -2x2 + 5αx2 + 13 4ab 5x2-3αx2 + 11 7x2-8ax2- 2 a2 - 2ab + b2 9. From 3a + 5b - 2c subtract 2a - b . Ans ...
... Remainder 8ax2 -6abx2 7abx - 3 5abx2 -15a2bc 6 . 7 . From 3a2 + 4b - 2x 8 . a2 + 2ab + b2 Subtract a2 + 76-8x Remainder 2a2-3b + 6x -2x2 + 5αx2 + 13 4ab 5x2-3αx2 + 11 7x2-8ax2- 2 a2 - 2ab + b2 9. From 3a + 5b - 2c subtract 2a - b . Ans ...
Página 45
... remainder may be regarded as the product of the divisor by the remaining terms of the quotient . We shall then ob- tain another term of the quotient by dividing that term of the remainder which is affected with the highest exponent of a ...
... remainder may be regarded as the product of the divisor by the remaining terms of the quotient . We shall then ob- tain another term of the quotient by dividing that term of the remainder which is affected with the highest exponent of a ...
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Términos y frases comunes
algebraic arithmetical progression binomial binomial theorem cent Clearing of fractions coefficient common index completing the square continued fraction cube root decimal denote digits Divide the number dividend divisible dollars equa equal equations containing EXAMPLES expression Extract the square factors Find the cube Find the fifth Find the fourth Find the number Find the square Find the sum find the values following RULE four fourth power fourth root geometrical progression greatest common divisor Hence imaginary indicates inequality infinite series last term least common multiple less logarithm method monomial negative nth root number of terms obtain positive preceding problem quotient Radical Quantities radical sign ratio Reduce remainder represent required root Required the square Resolve result second degree second term simultaneous equations Solve the equation square root Sturm's Theorem suppose surd three numbers tion unity unknown quantity whence whole number zero