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annuity arithmetical mean Arithmetical Progression Binomial Theorem black balls coefficient common measure complete quotient contains cube root digits Divide divisible divisor equal event example expansion Extract the square factors find the chance find the number find the sum find the value Geometrical Progression given equations greater than unity harmonical mean Hence hour infinite continued fraction infinite series least common multiple less than unity logarithm miles Multiply negative quantity number of combinations number of permutations number of terms obtain occur person positive integers positive quantity preceding Article prime number problem proper fraction prove quadratic equation quadratic surd quotient radix ratio remainder respectively result scale series is convergent shew shewn shillings Similarly solution Solve square root student subtraction suppose supposition surd third trial unknown quantities white balls whole number zero
Page 67 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Page 78 - By transposing we mean bringing the unknown quantities (x, y, z, etc.) to one side of the equation, and the known quantities to the other.
Page 24 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page 292 - The general formula for the number of combinations of n things taken r at a time is C(и,r) = n\ r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Page 69 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.