Elementary AlgebraRivingtons, 1870 - Algebra |
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... RATIO 243 CHAPTER XXVIII . 1 ON PROPORTION 248 CHAPTER XXIX . ON VARIATION 258 CHAPTER XXX . 2 ON ARITHMETICAL PROGRESSION 264 CHAPTER XXXI . ON GEOMETRICAL PROGRESSION 273 CHAPTER XXXII . JON HARMONICAL PROGRESSION 282 CHAPTER XXXIII ...
... RATIO 243 CHAPTER XXVIII . 1 ON PROPORTION 248 CHAPTER XXIX . ON VARIATION 258 CHAPTER XXX . 2 ON ARITHMETICAL PROGRESSION 264 CHAPTER XXXI . ON GEOMETRICAL PROGRESSION 273 CHAPTER XXXII . JON HARMONICAL PROGRESSION 282 CHAPTER XXXIII ...
Page 243
... RATIO . 338. IF A and B stand for two unequal quantities of the same kind , we may consider their inequality in two ways . We may ask ( 1 ) By what quantity one is greater than the other ? The answer to this is made ... RATIO . 243 ON RATIO.
... RATIO . 338. IF A and B stand for two unequal quantities of the same kind , we may consider their inequality in two ways . We may ask ( 1 ) By what quantity one is greater than the other ? The answer to this is made ... RATIO . 243 ON RATIO.
Page 244
... ratio . A is called the ANTECEDENT and B the CONSEQUENT . 341. Now since quantities are represented in Algebra by their measures , we must represent the ratio between two quantities by the ratio between their measures . Our next step ...
... ratio . A is called the ANTECEDENT and B the CONSEQUENT . 341. Now since quantities are represented in Algebra by their measures , we must represent the ratio between two quantities by the ratio between their measures . Our next step ...
Page 246
... Ratio : for since we express a ratio by a fraction , nearly all that we might have had to say about Ratios has been anticipated in our remarks on Fractions . 348. The student may , however , work the following Theo- rems as Examples ...
... Ratio : for since we express a ratio by a fraction , nearly all that we might have had to say about Ratios has been anticipated in our remarks on Fractions . 348. The student may , however , work the following Theo- rems as Examples ...
Page 248
... ratio as we do in Algebra . In fact he does not treat of ratios except when one ratio is equal to another . XXVIII . ON PROPORTION . 353. PROPORTION consists in the equality of two ratios . The Algebraic test of proportion is that the ...
... ratio as we do in Algebra . In fact he does not treat of ratios except when one ratio is equal to another . XXVIII . ON PROPORTION . 353. PROPORTION consists in the equality of two ratios . The Algebraic test of proportion is that the ...
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added Addition Algebra arithmetic arranged Book called Cambridge coefficient combinations common contains cost cube denominator denote determine difference digits Divide Dividend divisible divisor Edition English equal equation examples Expand explained expression factors Find the number Find the value five four fourth fraction give given greater Greek Hence Insert integer involving less letters List logarithms means method miles Multiply negative NOTE obtain operation original Oxford Page Pall Mall permutations positive proceed Progression prove quantity quotient ratio remainder represent respectively result rules scale shew shillings sides Simplify solve the equations square root stands subtract suppose surds symbol things taken third tion unit unknown whole written
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Page 253 - ... if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth ; or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth ; or, if the multiple of Book V.
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Page 292 - Recall the general formula for the number of combinations of n different things taken r at a time, C(n,r) n\ r!(nr)!
Page 328 - Suppose that a*=n, then x is called the logarithm of n to the base a : thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The logarithm of n to the base a is written log.