Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 1
... symbols employed in Algebra to denote numbers are , in addition to those of Arithmetic , the letters of some alphabet ... symbol stands for the words " is equal to , " or " the result is . " S. A. 1 Thus the definitions given in Art . 3 ...
... symbols employed in Algebra to denote numbers are , in addition to those of Arithmetic , the letters of some alphabet ... symbol stands for the words " is equal to , " or " the result is . " S. A. 1 Thus the definitions given in Art . 3 ...
Page 2
... symbols are added together , the result will be the same in whatever order the symbols succeed each other . Thus if we have to add together the numbers symbolized by a and b , the result is represented by a + b , and this result is the ...
... symbols are added together , the result will be the same in whatever order the symbols succeed each other . Thus if we have to add together the numbers symbolized by a and b , the result is represented by a + b , and this result is the ...
Page 3
... symbol expressing the number of times the number denoted by a is repeated . Similarly a + a + a is represented by 3a . Hence it follows that 2a + a will be represented by 3a , 3a + a by 4a . 10. The symbol- , read minus , is used to ...
... symbol expressing the number of times the number denoted by a is repeated . Similarly a + a + a is represented by 3a . Hence it follows that 2a + a will be represented by 3a , 3a + a by 4a . 10. The symbol- , read minus , is used to ...
Page 4
... symbol precedes a term the symbol is understood . Thus in the expression a - b + c − d + e - f a , c , e are called positive terms , b , d , f . ............ negative ....... The symbols of operation + and are usually called posi- tive ...
... symbol precedes a term the symbol is understood . Thus in the expression a - b + c − d + e - f a , c , e are called positive terms , b , d , f . ............ negative ....... The symbols of operation + and are usually called posi- tive ...
Page 5
... symbols supply the places of numbers corresponding to the Arithmetical examples considered in Arts . 14 , 15 , 16 , 17 . CASE I. To add to a the sum of b and c . This is expressed thus : a + ( b + c ) . First add b to a , the result ...
... symbols supply the places of numbers corresponding to the Arithmetical examples considered in Arts . 14 , 15 , 16 , 17 . CASE I. To add to a the sum of b and c . This is expressed thus : a + ( b + c ) . First add b to a , the result ...
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added Addition Algebra arithmetic arranged Book called Cambridge coefficient combinations common contains cost cube denominator denote determine difference digits Divide Dividend divisible divisor Edition English equal equation examples Expand explained expression factors Find the number Find the value five four fourth fraction give given greater Greek Hence Insert integer involving less letters List logarithms means method miles Multiply negative NOTE obtain operation original Oxford Page Pall Mall permutations positive proceed Progression prove quantity quotient ratio remainder represent respectively result rules scale shew shillings sides Simplify solve the equations square root stands subtract suppose surds symbol things taken third tion unit unknown whole written
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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.