The elements of algebra1857 |
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Σελίδα 6
... becomes a 3 5 fraction having the same denominator with 12 12 > In the reduction of fractions to a common denominator the following rule is frequently required , in order that the reduced fractions may be in their lowest terms : — 23 ...
... becomes a 3 5 fraction having the same denominator with 12 12 > In the reduction of fractions to a common denominator the following rule is frequently required , in order that the reduced fractions may be in their lowest terms : — 23 ...
Σελίδα 38
... becomes a - b + c ; that is , a- ( b - c ) = a - b + c . The preceding rules apply also to quantities held together by a vincu- lum , since a vinculum serves the same purpose as brackets . Art . 67 . N.B. It is immaterial whether a ...
... becomes a - b + c ; that is , a- ( b - c ) = a - b + c . The preceding rules apply also to quantities held together by a vincu- lum , since a vinculum serves the same purpose as brackets . Art . 67 . N.B. It is immaterial whether a ...
Σελίδα 55
... become 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 ...
... become 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 ...
Σελίδα 56
... becomes ( x + c ) ( x + a ) ( x + c ) ( x + b ) ' and in lowest terms is 3a3 - 3a2b + ab2 - b3 Ex . 3. Reduce 4a2 - 5ab + b2 x + a x + b • to its lowest terms . 3a3 - 3a2b + ab3 - b3 3a2 ( a - b ) + b2 ( a − b ) 4a - 5ab + b2 == = 4a ...
... becomes ( x + c ) ( x + a ) ( x + c ) ( x + b ) ' and in lowest terms is 3a3 - 3a2b + ab2 - b3 Ex . 3. Reduce 4a2 - 5ab + b2 x + a x + b • to its lowest terms . 3a3 - 3a2b + ab3 - b3 3a2 ( a - b ) + b2 ( a − b ) 4a - 5ab + b2 == = 4a ...
Σελίδα 57
... becomes necessary therefore to investigate a rule for finding the Least Common Multiple of two or more quantities . And first , 115. To find the Least Common Multiple of any number of simple quantities . To do this , observe the ...
... becomes necessary therefore to investigate a rule for finding the Least Common Multiple of two or more quantities . And first , 115. To find the Least Common Multiple of any number of simple quantities . To do this , observe the ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 574 - Ephemera. — The Book of the Salmon: Comprising the Theory, Principles, and Practice of Fly-fishing for Salmon: Lists of good Salmon Flies for every good River in the Empire ; the Natural History of the Salmon, all its known Habits described, and the best way of artificially Breeding it explained. With numerous coloured Engravings. By EPHEMERA j assisted by ANDREW YOUNG.
Σελίδα 577 - Kirby and Spence's Introduction to Entomology ; or, Elements of the Natural History of Insects : Comprising an Account of Noxious and Useful Insects, of their Metamorphoses, Food, Stratagems, Habitations, Societies, Motions, Noises, Hybernation, Instinct, &c.