The Elements of Algebra |
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Page 7
... denotes that the former of the two quantities between which it is placed is to be multiplied by the latter . This sign is ... denote either of them ; thus , 4 and a are the factors of 4a . The sign , which is read divided by , denotes ...
... denotes that the former of the two quantities between which it is placed is to be multiplied by the latter . This sign is ... denote either of them ; thus , 4 and a are the factors of 4a . The sign , which is read divided by , denotes ...
Page 8
... denotes that the two things which it connects are equivalent to one another . An expression in which quantities are connected by the symbol = is called an equa- tion : thus , 4 + 5 = 8 + 1 is an equation ; x + 5 + 3 = 2x - x + 8 , and x ...
... denotes that the two things which it connects are equivalent to one another . An expression in which quantities are connected by the symbol = is called an equa- tion : thus , 4 + 5 = 8 + 1 is an equation ; x + 5 + 3 = 2x - x + 8 , and x ...
Page 9
... denotes that the number a is repeated with signs of multiplication , as many times as are represent- ed by the number ... denote the num- ber of multipliers in a quantity : thus , a1 is of one dimen- sion , a2 of two , a3 of three , and ...
... denotes that the number a is repeated with signs of multiplication , as many times as are represent- ed by the number ... denote the num- ber of multipliers in a quantity : thus , a1 is of one dimen- sion , a2 of two , a3 of three , and ...
Page 11
... denoted by 6. It only remains to be added , that certain symbols are used as abbreviations for certain phrases , and ... denotes that the numbers 4 and x are multiplied together . Now , when L.15 has been added to each sum , B's money ...
... denoted by 6. It only remains to be added , that certain symbols are used as abbreviations for certain phrases , and ... denotes that the numbers 4 and x are multiplied together . Now , when L.15 has been added to each sum , B's money ...
Page 12
... denote that 3 is multiplied into the whole quantity within this parenthesis . The problem has now been reduced to an equation ; i . e . the additions , subtractions , multiplications , & c . which were stated , and said to produce a ...
... denote that 3 is multiplied into the whole quantity within this parenthesis . The problem has now been reduced to an equation ; i . e . the additions , subtractions , multiplications , & c . which were stated , and said to produce a ...
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Common terms and phrases
algebraic algebraic quantities annuity arithmetical Binomial Theorem coefficient common logarithm consequently contain continued fraction corresponding cube root decimal denominator denote difference digits divided divisible divisor equal example expression factor find the number Find the sum find the value fourth fraction greater greatest common measure hence hypothesis integer last proposition latter least common multiple less logarithm magnitude multiplied nearer negative notation number of combinations number of permutations number of terms obtain operations positive present value prime number Prob Prop quadratic quadratic surd quan quotient ratio rational quantity remainder represent result shew shewn signify solution square root student subtraction suppose surd symbol things third tion unknown quantities whole number zero