## Elementary Algebra |

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added ages algebraical arithmetical progression arranged base called cent CHAPTER coefficient common contains cube root denominator denoted determine difference digits distance Divide divisible equal EXAMPLES expression factors feet Find Find the number find the value four fourth fraction geometrical progression give given given equation given expression greater half Hence increased involving length less letters logarithms mean method miles an hour minutes Multiply negative obtain places problem proportion prove quadratic equation quantity question quotient ratio reduces relation respectively result rule satisfy Shew shillings side Similarly simple Simplify solution Solve the equation square root Substitute subtract Suppose surds symbol taken third train true unity unknown quantities varies walk write written yards

### 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