Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 12
... whole . Thus a distance is a quantity , because we may regard it as made up of parts each of themselves a distance . Again a sum of money is a quantity , because we may regard it as made up of parts like the whole . 33. To measure any ...
... whole . Thus a distance is a quantity , because we may regard it as made up of parts each of themselves a distance . Again a sum of money is a quantity , because we may regard it as made up of parts like the whole . 33. To measure any ...
Page 41
... whole number , x + y " is divisible by x + y when n is odd , by x - y never ; x - y " is divisible by x + y when n is even , by x - y always . ...... Also , it is to be observed that when the divisor is x - y all the terms of the ...
... whole number , x + y " is divisible by x + y when n is odd , by x - y never ; x - y " is divisible by x + y when n is even , by x - y always . ...... Also , it is to be observed that when the divisor is x - y all the terms of the ...
Page 51
... . If a be a whole number , what is the number next above it ? 6. Write five numbers in order of magnitude , so that x shall be the third of the five . 7. If a be multiplied into zero , what is 4-2 RESOLUTION INTO FACTORS . 51.
... . If a be a whole number , what is the number next above it ? 6. Write five numbers in order of magnitude , so that x shall be the third of the five . 7. If a be multiplied into zero , what is 4-2 RESOLUTION INTO FACTORS . 51.
Page 56
... whole numbers is four times the square of the odd number between them . 36. If the number 2 be divided into any two parts , the difference of their squares will always be equal to twice the difference of the parts . 37. If the number 50 ...
... whole numbers is four times the square of the odd number between them . 36. If the number 2 be divided into any two parts , the difference of their squares will always be equal to twice the difference of the parts . 37. If the number 50 ...
Page 57
... whole numbers is divisible by three times the middle number . VI . ON SIMPLE EQUATIONS . 106. AN EQUATION is a statement that two expressions are equal . 107. An Identical Equation is a statement that two ex- pressions are equal for all ...
... whole numbers is divisible by three times the middle number . VI . ON SIMPLE EQUATIONS . 106. AN EQUATION is a statement that two expressions are equal . 107. An Identical Equation is a statement that two ex- pressions are equal for all ...
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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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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.
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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.