Elementary AlgebraRivingtons, 1870 - Algebra |
From inside the book
Results 1-5 of 73
Page
... FACTORS 33 43 ON SIMPLE EQUATIONS CHAPTER VI . CHAPTER VII . PROBLEMS LEADING TO SIMPLE EQUATIONS . CHAPTER VIII . ON THE METHOD OF FINDING THE HIGHEST COMMON FACTOR 52 57 61 67 CHAPTER IX . FRACTIONS 165 76 CHAPTER X. THE LOWEST COMMON ...
... FACTORS 33 43 ON SIMPLE EQUATIONS CHAPTER VI . CHAPTER VII . PROBLEMS LEADING TO SIMPLE EQUATIONS . CHAPTER VIII . ON THE METHOD OF FINDING THE HIGHEST COMMON FACTOR 52 57 61 67 CHAPTER IX . FRACTIONS 165 76 CHAPTER X. THE LOWEST COMMON ...
Page 19
... factors of a product it always stands first in the product . Thus the product of the factors x , y , z and 9 is repre- sented by 9xyz . 44. Any one or more of the factors that make up a pro- duct is called the COEFFICIENT of the other ...
... factors of a product it always stands first in the product . Thus the product of the factors x , y , z and 9 is repre- sented by 9xyz . 44. Any one or more of the factors that make up a pro- duct is called the COEFFICIENT of the other ...
Page 20
... factors . Similarly a1 × α = aaaa × αaaaaaa = aaaaaaaaaa = a10 = a4 + 6 ̧ If one of the factors be a symbol without an index , we may assume it to have an index1 , that is a = a1 . Examples in multiplying powers of the same symbol are ...
... factors . Similarly a1 × α = aaaa × αaaaaaa = aaaaaaaaaa = a10 = a4 + 6 ̧ If one of the factors be a symbol without an index , we may assume it to have an index1 , that is a = a1 . Examples in multiplying powers of the same symbol are ...
Page 23
... factors from which it is produced it appears that if we regard the terms of the multiplicand c - d as independent quantities , and call them + c and -d , the effect of multiplying the positive terms + a and + b into the positive term + ...
... factors from which it is produced it appears that if we regard the terms of the multiplicand c - d as independent quantities , and call them + c and -d , the effect of multiplying the positive terms + a and + b into the positive term + ...
Page 25
... factor by each term in the other and prefix the sign according to this law : - When the factors multiplied have like signs prefix + when unlike to the product . - This is the RULE OF SIGNS . 56. We shall now give some examples in ...
... factor by each term in the other and prefix the sign according to this law : - When the factors multiplied have like signs prefix + when unlike to the product . - This is the RULE OF SIGNS . 56. We shall now give some examples in ...
Other editions - View all
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
Popular passages
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...