The elements of algebra1857 |
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Page 5
... appears from Art . 12 , COR . In the same manner 19 . 168 84 28 4 = 210 105 35 = • The " Greatest Common Measure " of two numbers is found by dividing the greater by the less , and the preceding divisor by the remainder , continually ...
... appears from Art . 12 , COR . In the same manner 19 . 168 84 28 4 = 210 105 35 = • The " Greatest Common Measure " of two numbers is found by dividing the greater by the less , and the preceding divisor by the remainder , continually ...
Page 6
... appears that 7 is the last divisor , or the Greatest Common Measure sought . The proof of this rule will be given hereafter . See Art . 103 . 20. A fraction is reduced to its lowest terms by dividing its numerator and denominator by ...
... appears that 7 is the last divisor , or the Greatest Common Measure sought . The proof of this rule will be given hereafter . See Art . 103 . 20. A fraction is reduced to its lowest terms by dividing its numerator and denominator by ...
Page 14
... appears , that a fraction may be multiplied by a whole number by dividing the denominator by that number , when this division can take place . Much trouble is frequently saved by observing what multipliers are 14 VULGAR FRACTIONS .
... appears , that a fraction may be multiplied by a whole number by dividing the denominator by that number , when this division can take place . Much trouble is frequently saved by observing what multipliers are 14 VULGAR FRACTIONS .
Page 23
... appears , by actual division , that -0.111 13 1 = 0.010101 99 1 = 0.001001 999 1 9999 = 0.00010001 and so on ; where the recurring part of the decimal is always 1 , preceded by as many cyphers as make the number of recurring digits ...
... appears , by actual division , that -0.111 13 1 = 0.010101 99 1 = 0.001001 999 1 9999 = 0.00010001 and so on ; where the recurring part of the decimal is always 1 , preceded by as many cyphers as make the number of recurring digits ...
Page 25
... appears to be 66979166 & c . The conclusion will be the same if we reduce the quantity to a vulgar fraction ( Art . 28 ) , and this fraction to a decimal ( Art . 51 ) . 57. It will often happen in practice that a whole series_of vulgar ...
... appears to be 66979166 & c . The conclusion will be the same if we reduce the quantity to a vulgar fraction ( Art . 28 ) , and this fraction to a decimal ( Art . 51 ) . 57. It will often happen in practice that a whole series_of vulgar ...
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 N₁ 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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