The elements of algebra1857 |
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Page 155
... varies ' as another it is always meant that the one ' varies directly ' as the other . Ex . 1. If a man agrees to work for a certain sum per hour , the amount of his wages varies as the number of hours during which he works . Ex . 2. If ...
... varies ' as another it is always meant that the one ' varies directly ' as the other . Ex . 1. If a man agrees to work for a certain sum per hour , the amount of his wages varies as the number of hours during which he works . Ex . 2. If ...
Page 156
... varies as B and C jointly , ( ABC ) , when A cannot be changed to a , but the product BC must be changed to bc , such that Aa BC : bc . Ex . The area of a triangle varies as its base and perpendicular altitude jointly . Let A , B , P ...
... varies as B and C jointly , ( ABC ) , when A cannot be changed to a , but the product BC must be changed to bc , such that Aa BC : bc . Ex . The area of a triangle varies as its base and perpendicular altitude jointly . Let A , B , P ...
Page 157
... varies as the third . Let AB , and BC , then shall A - C . For A : a : B : b , and Bb C c , therefore ( Art . 241 ) , A : a :: C : c ; that is , A¤C . In the same manner , if AB , and B∞ then Acc 267. If each of two quantities vary as ...
... varies as the third . Let AB , and BC , then shall A - C . For A : a : B : b , and Bb C c , therefore ( Art . 241 ) , A : a :: C : c ; that is , A¤C . In the same manner , if AB , and B∞ then Acc 267. If each of two quantities vary as ...
Page 159
... varies as the first directly and the other inversely . Let VFT , then by Art . 272 , F∞ V T ' V or T∞ F 275 . COR ... varies as the other ; when they both vary , the first varies as their product . Let SV when T is given , and S T ...
... varies as the first directly and the other inversely . Let VFT , then by Art . 272 , F∞ V T ' V or T∞ F 275 . COR ... varies as the other ; when they both vary , the first varies as their product . Let SV when T is given , and S T ...
Page 160
... varies as another , V , when the rest are constant ; when they are all changed , V varies as their product . Let VP when Q , R , and S , are given ; VQ when P , R , and S , are given ; VR when P , Q , and S , are given ; VS when P , Q ...
... varies as another , V , when the rest are constant ; when they are all changed , V varies as their product . Let VP when Q , R , and S , are given ; VQ when P , R , and S , are given ; VR when P , Q , and S , are given ; VS when P , Q ...
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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