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according added algebraical amount annuity appears Assume becomes binomial called chance changed coefficient combinations common common denominator common measure compound consequently contains continued decimal denominator determine difference digits dimensions divided divisible divisor equal equation expressed Extract the square factors figures former four fraction give given greater happen Hence impossible increased integer interest latter least less limit lowest terms manner method multiplied nearly negative obtained operation paid person places positive possible prime probability progression proportionals proposed prove quadratic quotient ratio reduced remainder represented respectively result rule shew shillings sides signs simple solution square root substituted subtracted suppose surd taken things third transformed true unit unknown quantity vary whole whole number
Seite 95 - This process of adding the square of half the coefficient of the first power of the unknown quantity to the first member, in order to make it a perfect square, is called COMPLETING THE SQUARE.
Seite 114 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.
Seite 83 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Seite 53 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Seite 129 - Progression may be found by multiplying the sum of the first and last terms by half the number of terms.
Seite 117 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Seite 110 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.
Seite 28 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.