Elementary AlgebraRivingtons, 1870 - Algebra |
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... INVOLVING QUADRATICS . 186 CHAPTER XXI . ON PROBLEMS RESULTING IN QUADRATIC EQUATIONS 192 CHAPTER XXII . INDETERMINATE EQUATIONS . 196 CHAPTER XXIII . THE THEORY OF INDICES 201 CHAPTER XXIV . ON SURDS 213 CHAPTER XXV . ON EQUATIONS ...
... INVOLVING QUADRATICS . 186 CHAPTER XXI . ON PROBLEMS RESULTING IN QUADRATIC EQUATIONS 192 CHAPTER XXII . INDETERMINATE EQUATIONS . 196 CHAPTER XXIII . THE THEORY OF INDICES 201 CHAPTER XXIV . ON SURDS 213 CHAPTER XXV . ON EQUATIONS ...
Page 65
... involving weights and measures , after assuming a symbol to represent one of the unknown quantities we must be careful to express the other quantities in the same terms . Thus if x represent a number of pence , all the sums involved in ...
... involving weights and measures , after assuming a symbol to represent one of the unknown quantities we must be careful to express the other quantities in the same terms . Thus if x represent a number of pence , all the sums involved in ...
Page 105
... involving fractional terms may be reduced to an equivalent equation without fractions by mul- tiplying every term of the equation by the Lowest Common Multiple of the denominators of the fractional terms , This process is in accordance ...
... involving fractional terms may be reduced to an equivalent equation without fractions by mul- tiplying every term of the equation by the Lowest Common Multiple of the denominators of the fractional terms , This process is in accordance ...
Page 120
... involving distance travelled over in a certain time at a certain rate , it is to be observed that Distance Rate = Time . That is , if I travel 20 miles at the rate of 5 miles an hour , number of hours I take = 20 • 5 Ex . A and B set ...
... involving distance travelled over in a certain time at a certain rate , it is to be observed that Distance Rate = Time . That is , if I travel 20 miles at the rate of 5 miles an hour , number of hours I take = 20 • 5 Ex . A and B set ...
Page 134
... involving Decimal Frac- tions two methods may be adopted , as will be seen from the following example . Multiply 1-2y by ' 03x + 4y . We may proceed thus , applying the Rules for Multiplication , Addition and Subtraction of Decimals ...
... involving Decimal Frac- tions two methods may be adopted , as will be seen from the following example . Multiply 1-2y by ' 03x + 4y . We may proceed thus , applying the Rules for Multiplication , Addition and Subtraction of Decimals ...
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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 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.
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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.