Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 1
... tion of ADDITION . and Thus 1 + 1 symbolizes that which is denoted by 2 , 2 + 1 ......... 3 , a + b stands for the result obtained by adding b to a . 5. The symbol stands for the words " is equal to , " or " the result is . " S. A. 1 ...
... tion of ADDITION . and Thus 1 + 1 symbolizes that which is denoted by 2 , 2 + 1 ......... 3 , a + b stands for the result obtained by adding b to a . 5. The symbol stands for the words " is equal to , " or " the result is . " S. A. 1 ...
Page 28
... tion . For the definition given in Art . 36 does not cover this case , since we cannot say that c shall be taken -d times . We give then the following definition . “ The operation of Multiplication is such that the product of the ...
... tion . For the definition given in Art . 36 does not cover this case , since we cannot say that c shall be taken -d times . We give then the following definition . “ The operation of Multiplication is such that the product of the ...
Page 59
... tion without altering the equality . Thus , if a - x = b - c , x - a = c - b . 115. We may change the position of the two sides of the equation , leaving the signs unchanged . Thus the equation a - b = x - c , may be written thus , x ...
... tion without altering the equality . Thus , if a - x = b - c , x - a = c - b . 115. We may change the position of the two sides of the equation , leaving the signs unchanged . Thus the equation a - b = x - c , may be written thus , x ...
Page 80
... tion is not altered . II . If the numerator and denominator of a fraction be divided by the same number , the value of the fraction is not altered . 149. To make the important Theorem established in the preceding Article more clear , we ...
... tion is not altered . II . If the numerator and denominator of a fraction be divided by the same number , the value of the fraction is not altered . 149. To make the important Theorem established in the preceding Article more clear , we ...
Page 96
... tion , as will be shewn in subsequent Examples . a Also , since b - с ad - bc d bd " the Rule for Subtracting one fraction from another will be , " Reduce the fractions to equivalent fractions having the Lowest 96 ON ADDITION AND ...
... tion , as will be shewn in subsequent Examples . a Also , since b - с ad - bc d bd " the Rule for Subtracting one fraction from another will be , " Reduce the fractions to equivalent fractions having the Lowest 96 ON ADDITION AND ...
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Common terms and phrases
2ab+bČ a+b-c aČ+2ab+bČ aČ+bČ 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.