Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 62
... original number . Find the original number . 4. One number is three times as large as another . If I take the smaller from 16 and the greater from 30 the remain- ders are equal . What are the numbers ? 5. Divide the number 92 into four ...
... original number . Find the original number . 4. One number is three times as large as another . If I take the smaller from 16 and the greater from 30 the remain- ders are equal . What are the numbers ? 5. Divide the number 92 into four ...
Page 74
... original expressions is therefore x2 - 3x . EXAMPLES . - XXXVII . Find the H. C. F. of the following expressions : 1. x2 + 7x + 12 and x2 + 9x + 20 . 2. x2 + 12x + 20 and x2 + 14x + 40 . 3. x2 - 17x + 70 and x2 - 13x + 42 . 4. x2 + 5x ...
... original expressions is therefore x2 - 3x . EXAMPLES . - XXXVII . Find the H. C. F. of the following expressions : 1. x2 + 7x + 12 and x2 + 9x + 20 . 2. x2 + 12x + 20 and x2 + 14x + 40 . 3. x2 - 17x + 70 and x2 - 13x + 42 . 4. x2 + 5x ...
Page 80
... of the numerator and denominator and divide both by it . The resulting fraction will be one equivalent to the original fraction expressed in the simplest terms . 151 . When the numerator and denominator each consist of 80 FRACTIONS .
... of the numerator and denominator and divide both by it . The resulting fraction will be one equivalent to the original fraction expressed in the simplest terms . 151 . When the numerator and denominator each consist of 80 FRACTIONS .
Page 94
... original denominators . The same rule holds for three , four or more fractions . 174. Ex . ( 1 ) Reduce to equivalent fractions with the lowest common denominator , 2x + 5 3 and 4x - 7 4 Denominators 3 , 4 . Lowest Common Multiple 12 ...
... original denominators . The same rule holds for three , four or more fractions . 174. Ex . ( 1 ) Reduce to equivalent fractions with the lowest common denominator , 2x + 5 3 and 4x - 7 4 Denominators 3 , 4 . Lowest Common Multiple 12 ...
Page 96
... original frac- tions . " The beginner should , however , generally take two fractions at a time , and then combine a third with the resulting frac- tion , as will be shewn in subsequent Examples . a Also , since b - с ad - bc d bd " the ...
... original frac- tions . " The beginner should , however , generally take two fractions at a time , and then combine a third with the resulting frac- tion , as will be shewn in subsequent Examples . a Also , since b - с ad - bc d bd " the ...
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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.