The elements of algebra1857 |
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... Ratios 141 Proportion . 145 Variation 155 Arithmetical Progression 161 Geometrical Progression 165 Harmonical Progression 170 Permutations and Combinations 174 Binomial Theorem 180 Exponential Theorem 193 Multinomial Theorem 194 ...
... Ratios 141 Proportion . 145 Variation 155 Arithmetical Progression 161 Geometrical Progression 165 Harmonical Progression 170 Permutations and Combinations 174 Binomial Theorem 180 Exponential Theorem 193 Multinomial Theorem 194 ...
Page
... Ratios 141 Proportion . 145 Variation 155 Arithmetical Progression 161 Geometrical Progression 165 Harmonical Progression 170 Permutations and Combinations 174 Binomial Theorem 180 Exponential Theorem 193 Multinomial Theorem 194 ...
... Ratios 141 Proportion . 145 Variation 155 Arithmetical Progression 161 Geometrical Progression 165 Harmonical Progression 170 Permutations and Combinations 174 Binomial Theorem 180 Exponential Theorem 193 Multinomial Theorem 194 ...
Page 110
... ratios of x , y , z , can be obtained for example , let 5x = 4y , 3x = 4 % , 2x - 3y + 62 = 22 , Σ we have then = -3 , 4 5 and .. each = 2x - 3y + 6z 2.4-3.5 + 6.3 22 = = 2 . 11 .. x = 8 , y = 10 , 2 = 6 . The advantage of this method ...
... ratios of x , y , z , can be obtained for example , let 5x = 4y , 3x = 4 % , 2x - 3y + 62 = 22 , Σ we have then = -3 , 4 5 and .. each = 2x - 3y + 6z 2.4-3.5 + 6.3 22 = = 2 . 11 .. x = 8 , y = 10 , 2 = 6 . The advantage of this method ...
Page 140
... .. + a ‚ « ) * ' , n - 1 4-2 and is , a fortiori , > a , .a , n - 2 " a1 + ... ta , R - 3 ... n - 3 " & c . a1 + α2 + A + ... + an n [ Exercises Y. ] RATIOS . 222. Ratio is the relation which one quantity 140 INEQUALITIES .
... .. + a ‚ « ) * ' , n - 1 4-2 and is , a fortiori , > a , .a , n - 2 " a1 + ... ta , R - 3 ... n - 3 " & c . a1 + α2 + A + ... + an n [ Exercises Y. ] RATIOS . 222. Ratio is the relation which one quantity 140 INEQUALITIES .
Page 141
James Wood Thomas Lund. RATIOS . 222. Ratio is the relation which one quantity bears to another in respect of magnitude , the comparison being made by considering what multiple , part ... ratio 7 : 4 is greater than the RATIOS . 141 Ratios.
James Wood Thomas Lund. RATIOS . 222. Ratio is the relation which one quantity bears to another in respect of magnitude , the comparison being made by considering what multiple , part ... ratio 7 : 4 is greater than the RATIOS . 141 Ratios.
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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