The elements of algebra1857 |
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... divisible into any number of equal parts at pleasure , 3. A proper fraction is one whose numerator is less than its denominator , as 7 8 4. An improper fraction is one whose numerator is equal to , or greater than , its denominator , as ...
... divisible into any number of equal parts at pleasure , 3. A proper fraction is one whose numerator is less than its denominator , as 7 8 4. An improper fraction is one whose numerator is equal to , or greater than , its denominator , as ...
Page 6
... Least Common Multiple " of any numbers . DEF . The " Least Common Multiple " of any numbers is the least number which is divisible by each of them without remainder . RULE . To find it , write down in one VULGAR FRACTIONS . 7.
... Least Common Multiple " of any numbers . DEF . The " Least Common Multiple " of any numbers is the least number which is divisible by each of them without remainder . RULE . To find it , write down in one VULGAR FRACTIONS . 7.
Page 21
... divisible by 2 and 5 only , and their powers , it follows that no vulgar fraction can be expressed by a terminating decimal unless , when it is in its lowest terms , its denominator is divisible by one or both of the num- bers , 2 and 5 ...
... divisible by 2 and 5 only , and their powers , it follows that no vulgar fraction can be expressed by a terminating decimal unless , when it is in its lowest terms , its denominator is divisible by one or both of the num- bers , 2 and 5 ...
Page 48
... divisible by x - a , the quotient being a2 + ax + a2 ; and that 3 + a3 is divisible by x + a , the quotient being r2 - ax + a ' . These results are worth remembering . " Ex . 5. To divide 4ab3 + 51a2b3 + 10a - 48a b - 156 ' by 4ab - 5a ...
... divisible by x - a , the quotient being a2 + ax + a2 ; and that 3 + a3 is divisible by x + a , the quotient being r2 - ax + a ' . These results are worth remembering . " Ex . 5. To divide 4ab3 + 51a2b3 + 10a - 48a b - 156 ' by 4ab - 5a ...
Page 55
... divisible by some common number , when certain values are given to the letters contained in them . For example , the factors x - 7 , and a - 4 , have no common mea- sure greater than 1 , as algebraical expressions ; but if 10 be put for ...
... divisible by some common number , when certain values are given to the letters contained in them . For example , the factors x - 7 , and a - 4 , have no common mea- sure greater than 1 , as algebraical expressions ; but if 10 be put for ...
Common terms and phrases
algebraical quantities annuity Arithmetical Progression Binomial Theorem coefficient common denominator Comp contain continued fraction convergent cube root denary difference digits divided divisible divisor Edition equal equation EXERCISES expressed Extract the square factors Find the G.C.M. find the number Find the square find the sum Find the value given greater Greatest Common Measure Hence hour latter Least Common Multiple less lowest terms miles Mult multiplied Nā negative nth root number of combinations number of terms numerator and denominator positive integers Post 8vo Present Value prime number proportion proposed quantities prove quadratic quadratic equation quotient radix ratio reduced remainder represented rule scale shew shillings square root ST JOHN'S COLLEGE subtracted suppose surd unknown quantities vols vulgar fraction whole number Woodcuts
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