# The engineers' manual of the Local marine examinations

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Page 42 - An Improper Fraction is one whose numerator is equal to or greater than its denominator ; as, f , -J.
Page 63 - Thus, reducing the two fractions to a common denominator, we multiply the numerator of the dividend by the denominator of the divisor, and the numerator of. the divisor by the denominator of the dividend ; (Art.
Page 139 - RULE. from half the sum of the three sides, subtract each side separately; multiply the half sum and the three remainders together, and the square root of the product will be the area required.
Page 56 - It is however impossible to find such a fraction unless all the given fractions be first expressed with a common denominator : for, since the denominator of a fraction expresses the number of equal parts into which the unit is divided, it follows that in two fractions which have not a common denominator the unit is not divided into the same number of equal parts : therefore in endeavouring to...
Page 239 - ... stroke have been performed, and the steam be at the same time throttled in the steam pipe, the full pressure of the steam within the cylinder cannot be maintained except near the beginning of the stroke where the piston travels slowly ; for as the speed of the piston increases, the pressure necessarily subsides, until the piston approaches the other end of the cylinder, where the pressure would rise again but that the operation of the lap on the valve by this time has had the effect of closing...
Page 239 - ... on the exhausting side, the port before the piston will be closed before that behind it is opened ; and the interval between the closing of the one and the opening of the other, will depend on the quantity of lap on the exhausting side of the valve.