Elementary Algebra |
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Common terms and phrases
a²+b² algebraical arithmetic means arithmetical progression ax² binomial theorem brackets Chapter coefficient common difference common ratio cube root denominator digits Divide divisible equal feet Find the factors Find the number Find the sum find the value following examples fraction geometric mean geometrical progression given equation given expression given in Art given log given number greater harmonic means Hence less than unity letters logarithms miles an hour multinomial Multiply natural numbers nth root nth term number of combinations number of permutations numerical values obtain positive integer powers prove quadratic equation quotient radix remainder result scale Shew shillings Similarly simple equation Simplify simultaneous equations Solve the equation square root subtract suppose surds symbol things taken unknown quantities varies directly vulgar fraction walk write yards zero
Popular passages
Page 275 - Suppose a* =n, then x is called the logarithm of n to the böge 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 Iog0 n ; thus log„ii = a; expresses the same relation, as a* = n.
Page 155 - A horse and a donkey, laden with corn, were walking together. The horse said to the donkey: "If you gave me one measure of corn, I should carry twice as much as you, but if I gave you one, we should carry equal burdens.
Page 158 - If a number of two figures be divided by the sum of its digits, the quotient is 7 ; and if the digits be inverted, the quotient of the resulting number, increased by 6, divided by the sum of the digits, is 5.
Page 333 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Page 277 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 387 - To find the number of permutations of n different things taken r at a time.
Page 392 - 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 277 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 277 - The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. log» Np = p log