Elementary AlgebraRivingtons, 1870 - Algebra |
From inside the book
Results 1-5 of 52
Page 12
... quantity . To explain this we must consider 1. What we mean by Quantity . 2 . How Quantities are measured . 32. A Quantity is anything which may be regarded as being made up of parts like the whole . Thus a distance is a quantity ...
... quantity . To explain this we must consider 1. What we mean by Quantity . 2 . How Quantities are measured . 32. A Quantity is anything which may be regarded as being made up of parts like the whole . Thus a distance is a quantity ...
Page 13
... quantity to be such that when put to another quantity of the same kind it will entirely or in part neutralize its effect . Thus , if I walk 4 miles towards a certain object and then return along the same road 2 miles , I may say that ...
... quantity to be such that when put to another quantity of the same kind it will entirely or in part neutralize its effect . Thus , if I walk 4 miles towards a certain object and then return along the same road 2 miles , I may say that ...
Page 14
... quantity of a subtractive nature . Arithmetically we interpret this result as a loss of £ 2a . Algebraically we call the result a negative quantity . When once we have admitted the possibility of the inde- pendent existence of such ...
... quantity of a subtractive nature . Arithmetically we interpret this result as a loss of £ 2a . Algebraically we call the result a negative quantity . When once we have admitted the possibility of the inde- pendent existence of such ...
Page 20
... quantities . Thus the sum of the second and third powers of x is repre- sented by x2 + x3 , and the remainder after taking the fourth power of y from the fifth power of y is represented by y5 - y1 , and these expressions cannot be ...
... quantities . Thus the sum of the second and third powers of x is repre- sented by x2 + x3 , and the remainder after taking the fourth power of y from the fifth power of y is represented by y5 - y1 , and these expressions cannot be ...
Page 21
... quantities the terms may be combined into one : thus x3 + x3 = 2x3 , 3y3 + 5y3 + 7y3 = 15y3 , 8x1— 5x1 = 3x1 , 935 – 2 = 4 . Again , whenever two or more terms are entirely the same with respect to the symbols they contain , their sum ...
... quantities the terms may be combined into one : thus x3 + x3 = 2x3 , 3y3 + 5y3 + 7y3 = 15y3 , 8x1— 5x1 = 3x1 , 935 – 2 = 4 . Again , whenever two or more terms are entirely the same with respect to the symbols they contain , their sum ...
Other editions - View all
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
Popular passages
Page 21 - College and Rector of St. Botolph's, and the Rev. WJ Beamont, MA, late Fellow of Trinity College, Cambridge. With a Preface by the lord Bishop of Ely.
Page 28 - 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 15 - HORATI OPERA, Edited by JM MARSHALL, MA Fellow and late Lecturer of Brasenose College, Oxford ; one of the Masters in Clifton College.
Page 5 - 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 2 - 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, late Dean of Canterbury.
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.
Page 28 - The THEATRE of the GREEKS. A series of Papers relating to the History and Criticism of the Greek Drama.
Page 328 - 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 292 - Recall the general formula for the number of combinations of n different things taken r at a time, C(n,r) n\ r!(nr)!
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.