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a²x² algebraic expressions arithmetical mean ax² binomial coefficient cologarithm consecutive numbers containing cube root decimal denote difference Diophantus distance Divide division divisor example similar examples in Exercise exponents Extract the square factor Find the H. C. F. Find the numbers Find the sum Find the value formula fraction geometrical means given equation graph Hence Hindoos hour imaginary Let the pupil logarithm mantissa method miles monomial Multiply negative quantity obtained parenthesis polynomial pounds proportion pupil check quadratic equation quotient radical sign ratio rectangle Reduce sight similar to Ex Simplify simultaneous equations solution Solve x² square root Substitute Subtract symbols temperature twice unknown quantity weight Write x²y x²y² xy² zero
Page 496 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 213 - At what time between 3 and 4 o'clock are the hands of a watch pointing in opposite directions?
Page 413 - In a mixture of rum and brandy, the difference between the quantities of each, is to the quantity of brandy, as 100 is to the number of gallons of rum; and the same difference is to the quantity of rum, as 4 to the number of gallons of brandy. How many gallons are there...
Page 503 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 78 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Page 135 - Arts. 75 and 76 a trinomial is a perfect square when its first and last terms are perfect squares and positive, and the middle term is twice the product of the square roots of the end terms.
Page 411 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 503 - Root of a Number, Divide the logarithm of the number by the index of the required root.