Elementary AlgebraRivingtons, 1870 - Algebra |
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... SURDS 213 CHAPTER XXV . ON EQUATIONS INVOLVING SURDS 229 CHAPTER XXVI . ON THE ROOTS OF EQUATIONS 234 CHAPTER XXVII . 1 ON RATIO 243 CHAPTER XXVIII . ON PROPORTION 248 CHAPTER XXIX . ON VARIATION 258 CHAPTER XXX . 2 ON ARITHMETICAL ...
... SURDS 213 CHAPTER XXV . ON EQUATIONS INVOLVING SURDS 229 CHAPTER XXVI . ON THE ROOTS OF EQUATIONS 234 CHAPTER XXVII . 1 ON RATIO 243 CHAPTER XXVIII . ON PROPORTION 248 CHAPTER XXIX . ON VARIATION 258 CHAPTER XXX . 2 ON ARITHMETICAL ...
Page 212
... y3 by x2 - yo . 24. Write down the values of 625 and 12-2 . 25. Multiply xm - 1 ) n - y ( n - 1 ) m by x2 - y . --- 26. ' Multiply + 3x3 - 1 by x1 — 2x − 4 . XXIV . ON SURDS . 289. ALL numbers which we 212 THE THEORY OF INDICES .
... y3 by x2 - yo . 24. Write down the values of 625 and 12-2 . 25. Multiply xm - 1 ) n - y ( n - 1 ) m by x2 - y . --- 26. ' Multiply + 3x3 - 1 by x1 — 2x − 4 . XXIV . ON SURDS . 289. ALL numbers which we 212 THE THEORY OF INDICES .
Page 213
... SURDS . 290. We shall confine our attention to those Surds which originate in the Extraction of roots where the results cannot be exhibited as whole or fractional numbers . For example , if we perform the operation of extracting the ...
... SURDS . 290. We shall confine our attention to those Surds which originate in the Extraction of roots where the results cannot be exhibited as whole or fractional numbers . For example , if we perform the operation of extracting the ...
Page 214
... Surds , though they cannot be expressed by whole or fractional numbers , are nevertheless numbers of which we may form an approximate idea , and we may make three assertions respecting them . ( 1 ) Surds may be compared so far as ...
... Surds , though they cannot be expressed by whole or fractional numbers , are nevertheless numbers of which we may form an approximate idea , and we may make three assertions respecting them . ( 1 ) Surds may be compared so far as ...
Page 215
James Hamblin Smith. 295. Surds of the same order are those for which the root - symbol or surd - index is the same . Thus √a , 3√ ( 3b ) , 4√ ( mn ) , r1 are surds of the same order . Like surds are those in which the same root - symbol ...
James Hamblin Smith. 295. Surds of the same order are those for which the root - symbol or surd - index is the same . Thus √a , 3√ ( 3b ) , 4√ ( mn ) , r1 are surds of the same order . Like surds are those in which the same root - symbol ...
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Common terms and phrases
2ab+b² a+b-c a²+2ab+b² a²+b² Algebra arithmetic means Arithmetical Progression Cambridge coefficient College List Crown 8vo denominator denote difference Divide Dividend division divisor Edition equal Find the number Find the value following expressions gallons Geometrical Progression given greater Greek Hence Highest Common Factor integer less logarithms miles an hour Multiply negative Nonary number of permutations number of terms obtain positive proceed proper fraction q factors quadratic equation quantity quotient radix ratio remainder represent the number result Rivington's School rules scale whose radix School and College second term Senary shew shillings sides Simplify solve the equations square root Subtracting surds take the square things taken third Thomas Kerchever Arnold tion unknown symbol whole number
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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 328 - A number is divisible by 11 if the difference between the sum of the digits in the even places and the sum of the digits in the odd places is either 0 or a multiple of 11.
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.