Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 3
... Hence it follows that 2a + a will be represented by 3a , За + а by 4a . 10. The symbol — , read minus , is used to denote the ope- ration of SUBTRACTION . Thus the operation of subtracting 15 from 26 and its co- nection with the result ...
... Hence it follows that 2a + a will be represented by 3a , За + а by 4a . 10. The symbol — , read minus , is used to denote the ope- ration of SUBTRACTION . Thus the operation of subtracting 15 from 26 and its co- nection with the result ...
Page 5
... Hence our final result will be obtained by adding c to a + b , and it will be a + b + c . CASE II . To take from a the sum of b and c . This is expressed thus : a- ( b + c ) . First take b from a , the result will be a - b . This result ...
... Hence our final result will be obtained by adding c to a + b , and it will be a + b + c . CASE II . To take from a the sum of b and c . This is expressed thus : a- ( b + c ) . First take b from a , the result will be a - b . This result ...
Page 13
... hence its name . 34. Now we can conceive a quantity to be such that when put to another quantity of the same kind it will entirely or in part neutralize its effect . Thus , if I walk 4 miles towards a certain object and then return ...
... hence its name . 34. Now we can conceive a quantity to be such that when put to another quantity of the same kind it will entirely or in part neutralize its effect . Thus , if I walk 4 miles towards a certain object and then return ...
Page 21
... hence we obtain the following general rule for finding the product of a single symbol and an expression consisting of two or more terms . " Multiply each of the terms by the single symbol , and con- nect the terms of the result by the ...
... hence we obtain the following general rule for finding the product of a single symbol and an expression consisting of two or more terms . " Multiply each of the terms by the single symbol , and con- nect the terms of the result by the ...
Page 31
... Hence if any power of a + b be given we can write the cor- responding power of a - b : thus since ( a + b ) 5 = a5 + 5a1b + 10a3b2 + 10a2b3 + 5aba + h3 , ( a —b ) 3 = a3 — 5a3b + 10a3b3 — 10a2b3 + 5aba — b3 . 65. Since ( a + b ) 2 = a2 ...
... Hence if any power of a + b be given we can write the cor- responding power of a - b : thus since ( a + b ) 5 = a5 + 5a1b + 10a3b2 + 10a2b3 + 5aba + h3 , ( a —b ) 3 = a3 — 5a3b + 10a3b3 — 10a2b3 + 5aba — b3 . 65. Since ( a + b ) 2 = a2 ...
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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 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.