Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 6
... each term is changed if precedes the bracket . ---- a - b + o - d + e - f = a - b + ( c - d ) + ( e - ƒ ) , a - b + c - d + e - f - a- ( b - c ) - ( d - e + j ) . 21. We may now proceed to give rules for the 6 ADDITION AND SUBTRACTION .
... each term is changed if precedes the bracket . ---- a - b + o - d + e - f = a - b + ( c - d ) + ( e - ƒ ) , a - b + c - d + e - f - a- ( b - c ) - ( d - e + j ) . 21. We may now proceed to give rules for the 6 ADDITION AND SUBTRACTION .
Page 7
James Hamblin Smith. 21. We may now proceed to give rules for the Addition and Subtraction of Algebraical expressions . Suppose we have to add to the expression a + b - c the ex- pression d - e + f . The Sum = a + b − c + ( d - e + f ) ...
James Hamblin Smith. 21. We may now proceed to give rules for the Addition and Subtraction of Algebraical expressions . Suppose we have to add to the expression a + b - c the ex- pression d - e + f . The Sum = a + b − c + ( d - e + f ) ...
Page 9
... proceed to give some Examples . ADDITION . ( 1 ) a - 2b + 3c 3a - 4b - 5c 4a - 6b - 2c ( 2 ) 5a + 7b - 3c - 4d 6a - 7b + 9c + 4d lla + 6c The terms containing b and d in Ex . ( 2 ) destroying one another . ( 3 ) 7x - 5y + 4z x + 2y ...
... proceed to give some Examples . ADDITION . ( 1 ) a - 2b + 3c 3a - 4b - 5c 4a - 6b - 2c ( 2 ) 5a + 7b - 3c - 4d 6a - 7b + 9c + 4d lla + 6c The terms containing b and d in Ex . ( 2 ) destroying one another . ( 3 ) 7x - 5y + 4z x + 2y ...
Page 22
... proceed to the case in which both multiplier and multiplicand are compound expressions . First to multiply a + b into c + d . Represent c + d by x . Then ( a + b ) ( c + d ) = ( a + b ) x = ax + bx , by Art . 48 , = a ( c + d ) + b ( c ...
... proceed to the case in which both multiplier and multiplicand are compound expressions . First to multiply a + b into c + d . Represent c + d by x . Then ( a + b ) ( c + d ) = ( a + b ) x = ax + bx , by Art . 48 , = a ( c + d ) + b ( c ...
Page 36
... by the first term of the Quotient . Subtract the resulting product from the Dividend . If there be a remainder , consider it as a new Dividend , and proceed as before , The process will best be understood by a careful study 36 DIVISION .
... by the first term of the Quotient . Subtract the resulting product from the Dividend . If there be a remainder , consider it as a new Dividend , and proceed as before , The process will best be understood by a careful study 36 DIVISION .
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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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