Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 1
... 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 . " 8. A. 1 Thus the definitions given in Art . 3 may be ADDITION AND SUBTRACTION.
... 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 . " 8. A. 1 Thus the definitions given in Art . 3 may be ADDITION AND SUBTRACTION.
Page 2
... obtained by adding together a , b , c might be expressed algebraically by a + b + c , or a + c + b , or b + a + c , or b + c + a , or c + a + b , or c + b + a . 9. When a number denoted by a is added to itself , the result is ...
... obtained by adding together a , b , c might be expressed algebraically by a + b + c , or a + c + b , or b + a + c , or b + c + a , or c + a + b , or c + b + a . 9. When a number denoted by a is added to itself , the result is ...
Page 3
... obtained by taking c from a - b . Also a - b - c - d stands for the number obtained by taking d from a - b - c . Since we cannot take away a greater number from a smaller , the expression a - b , where a and b represent numbers , can ...
... obtained by taking c from a - b . Also a - b - c - d stands for the number obtained by taking d from a - b - c . Since we cannot take away a greater number from a smaller , the expression a - b , where a and b represent numbers , can ...
Page 4
... obtaining the final result 94. This process may be repre- sented Algebraically by enclosing 17 and 23 in a BRACKET ( ) , thus : 54+ ( 17 + 23 ) = 54 + 40 = 94 . 15. If we have to subtract from 54 the sum of 17 and 23 , the process may ...
... obtaining the final result 94. This process may be repre- sented Algebraically by enclosing 17 and 23 in a BRACKET ( ) , thus : 54+ ( 17 + 23 ) = 54 + 40 = 94 . 15. If we have to subtract from 54 the sum of 17 and 23 , the process may ...
Page 5
... 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 is too large , for we have to ...
... 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 is too large , for we have to ...
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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 - 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.