Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 1
... stands for the result obtained by adding b to a . 1 5. The symbol stands for the words " is equal to , " or " the result is . " S. A. 1 34 Thus the definitions given in Art . 3 may be ADDITION AND SUBTRACTION CHAPTER PAGE.
... stands for the result obtained by adding b to a . 1 5. The symbol stands for the words " is equal to , " or " the result is . " S. A. 1 34 Thus the definitions given in Art . 3 may be ADDITION AND SUBTRACTION CHAPTER PAGE.
Page 2
James Hamblin Smith. Thus the definitions given in Art . 3 may be presented in an algebraical form thus : 1 + 1 = 2 , 2 + 1 = 3 , 3 + 1 = 4 . 6. Since 2 = 1 + 1 , where unity is written twice , 3 = 2 + 1 = 1 + 1 + 1 , where unity is ...
James Hamblin Smith. Thus the definitions given in Art . 3 may be presented in an algebraical form thus : 1 + 1 = 2 , 2 + 1 = 3 , 3 + 1 = 4 . 6. Since 2 = 1 + 1 , where unity is written twice , 3 = 2 + 1 = 1 + 1 + 1 , where unity is ...
Page 6
... given in the preceding Article for the re- moval of brackets furnish corresponding rules for the intro- duction of brackets . Thus if we enclose two or more terms of an expression in a bracket , Ex . ( 1 ) The sign of each term remains ...
... given in the preceding Article for the re- moval of brackets furnish corresponding rules for the intro- duction of brackets . Thus if we enclose two or more terms of an expression in a bracket , Ex . ( 1 ) The sign of each term remains ...
Page 9
... 7y + 12 % 5y- 2z 3x + 2y + 14z ( 2 ) 3a + 7b- 8c 3a - 7b + 4c 146-12c ( 4 ) x - y + z x - y - z 2z ( 6 ) 7x - 19y - 14z 6x - 24y + 9z x + 5y - 23z 29. We have placed the expressions in the examples given ADDITION AND SUBTRACTION . 9.
... 7y + 12 % 5y- 2z 3x + 2y + 14z ( 2 ) 3a + 7b- 8c 3a - 7b + 4c 146-12c ( 4 ) x - y + z x - y - z 2z ( 6 ) 7x - 19y - 14z 6x - 24y + 9z x + 5y - 23z 29. We have placed the expressions in the examples given ADDITION AND SUBTRACTION . 9.
Page 10
James Hamblin Smith. 29. We have placed the expressions in the examples given in the preceding Article under each other , as in Arithmetic , for the sake of clearness , but the same operations might be ex- hibited by means of signs and ...
James Hamblin Smith. 29. We have placed the expressions in the examples given in the preceding Article under each other , as in Arithmetic , for the sake of clearness , but the same operations might be ex- hibited by means of signs and ...
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Common terms and phrases
a+b-c aČ+2ab+bČ aČ+bČ 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...