Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 43
... determine the product of two given factors : in the operation of which we have now to treat the product is given and ... determined . Thus a2 + ab = a ( a + b ) , 2a3 + 4a2 + 8a = 2a ( a2 + 2a + 4 ) , 9x3y - 18x2y2 + 54xy = 9xy ( x2 ...
... determine the product of two given factors : in the operation of which we have now to treat the product is given and ... determined . Thus a2 + ab = a ( a + b ) , 2a3 + 4a2 + 8a = 2a ( a2 + 2a + 4 ) , 9x3y - 18x2y2 + 54xy = 9xy ( x2 ...
Page 49
... determined by the following method : Take the square root of the first quantity , and the square root of the second quantity . The sum of the results will form the first factor . The difference of the results will form the second factor ...
... determined by the following method : Take the square root of the first quantity , and the square root of the second quantity . The sum of the results will form the first factor . The difference of the results will form the second factor ...
Page 59
... determined . Ex . 2. To solve the equation , 7x + 4 = 25x - 32 . Transposing the terms , we get 7x - 25x = -32-4 . Combining like terms , we get -18x = -36 . Changing the signs on each side , we get 18x = 36 . Dividing both sides by 18 ...
... determined . Ex . 2. To solve the equation , 7x + 4 = 25x - 32 . Transposing the terms , we get 7x - 25x = -32-4 . Combining like terms , we get -18x = -36 . Changing the signs on each side , we get 18x = 36 . Dividing both sides by 18 ...
Page 61
... determine the value of the number sought . The whole difficulty connected with the solution of Alge- braical Problems lies in the determination from the conditions of the question of two different expressions having the same numerical ...
... determine the value of the number sought . The whole difficulty connected with the solution of Alge- braical Problems lies in the determination from the conditions of the question of two different expressions having the same numerical ...
Page 68
... determine the Highest Common Factor in the following way . Set down the factors of one of the numbers in any order . Place beneath them the factors of the second number , in such order that factors like any of those of the first number ...
... determine the Highest Common Factor in the following way . Set down the factors of one of the numbers in any order . Place beneath them the factors of the second number , in such order that factors like any of those of the first number ...
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Common terms and phrases
a+b-c a²+2ab+b² a²+b² Algebra arithmetic means Arithmetical Progression Cambridge change the signs coefficient College List Crown 8vo denominator denote difference digits Divide Dividend division divisor Edition equal equivalent fractions examples Find the number Find the value following expressions fourth gallons Geometrical Progression given greater Greek Hence Highest Common Factor integer John Henry Blunt Latin less logarithms Multiply Nonary number of permutations number of terms obtain Oxford proper fraction quadratic equation quantity quotient radix ratio remainder represent the number result rules scale whose radix School and College second term Senary shew sides Simplify Small 8vo solve the equations square root subtract surds things taken third Thomas Kerchever Arnold tion Trinity Street unknown symbol Waterloo Place whole number
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Page 380 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.
Page 6 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled, with some additional matter occasionally interspersed, for the use of the Students of Bishop's College, Calcutta, by WH MILL, DD late Principal of Bishop's College, and Regius Professor of Hebrew in the University of Cambridge.
Page 384 - Edited by OSCAR BROWNING, MA Fellow of King's College, Cambridge ; and Assistant Master at Eton College. CICERONIS ORATIONES, Edited by CHARLES EDWARD GRAVES, MA Classical Lecturer and late Fellow of St.
Page 231 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Page 232 - ... 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...
Page 80 - If both terms of a fraction be divided by the same number, the value of the fraction will remain unchanged.
Page 383 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIvENER, js.
Page 306 - A number is divisible by 11 if the difference between the sum of the digits in the even places and the sum of the digits in the odd places is either 0 or a multiple of 11.
Page 149 - Then divide the first term of the remainder by the first term of the divisor...