Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 1
... four is defined to be the number that results from adding one to three ; and so on . 4. The symbol + , read plus , is used to denote the opera- tion of ADDITION . and Thus 1 + 1 symbolizes that which is denoted by 2 , 2 + 1 3 , a + b ...
... four is defined to be the number that results from adding one to three ; and so on . 4. The symbol + , read plus , is used to denote the opera- tion of ADDITION . and Thus 1 + 1 symbolizes that which is denoted by 2 , 2 + 1 3 , a + b ...
Page 2
... four times , + 1 + 1 with unity written a times , b = 1 + 1 + 1 + 1 + 1 with unity written b times . ...... 7. The process of addition in Arithmetic can be presented in a shorter form by the use of the sign + . Thus if we have to add 14 ...
... four times , + 1 + 1 with unity written a times , b = 1 + 1 + 1 + 1 + 1 with unity written b times . ...... 7. The process of addition in Arithmetic can be presented in a shorter form by the use of the sign + . Thus if we have to add 14 ...
Page 3
... four terms . When a compound expression contains two terms it is called a Binomial , three four or more .......... Trinomial , Multinomial . - Î - Terms which are preceded by the symbol + are ADDITION AND SUBTRACTION . 3.
... four terms . When a compound expression contains two terms it is called a Binomial , three four or more .......... Trinomial , Multinomial . - Î - Terms which are preceded by the symbol + are ADDITION AND SUBTRACTION . 3.
Page 42
James Hamblin Smith. 85. These properties may be easily remembered by taking the four simplest cases , thus , x + y , x − y , x2 + y2 , x2 — y2 , of which the first is divisible by x + y , second ............. x - y , third ...
James Hamblin Smith. 85. These properties may be easily remembered by taking the four simplest cases , thus , x + y , x − y , x2 + y2 , x2 — y2 , of which the first is divisible by x + y , second ............. x - y , third ...
Page 44
... four terms can be so arranged , that the first two have a common factor and the last two have a common factor . Thus x2 + ax + bx + ab = ( x2 + ax ) + ( bx + ab ) Again = x ( x + a ) + b ( x + a ) = ( x + b ) ( x + a ) . ac - ad - bc + ...
... four terms can be so arranged , that the first two have a common factor and the last two have a common factor . Thus x2 + ax + bx + ab = ( x2 + ax ) + ( bx + ab ) Again = x ( x + a ) + b ( x + a ) = ( x + b ) ( x + a ) . ac - ad - bc + ...
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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.