A practical treatise on mining, land and railway surveying, engineering, &c, Volume 35

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Page 40 - Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 46 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Page 37 - Where it is evident, that the same indices serve equally for any geometric series ; and consequently there may be an endless variety of systems of logarithms to the same common numbers, by only changing the second term 2, 3, or 10, &c. of the geometrical series of whole numbers...
Page 38 - And, if the logarithm of any number be divided by the index of its root, the quotient will be equal to the logarithm of that root.
Page 24 - The SINE of an arc is a straight line drawn from one end of the arc, perpendicular to a diameter which passes through the other end.
Page 63 - ... to the middle, the limb is horizontal in that direction; but if otherwise, half the difference must be corrected by the parallel plate-screws over which the telescope lies, and half, by elevating or depressing the telescope, by turning the tangent-screw...
Page 25 - In a right triangle each side is equal to the product of the hypotenuse into the sine of the opposite angle or the cosine of the adjacent angle.
Page 45 - The side opposite the given angle is to the side opposite the required angle as the sine of the given angle is to the Bine of the required angle.

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