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A Practical Treatise on Mining, Land and Railway Surveying, Engineering, &C
Henry Davis Hoskold
No preview available - 2015
accurately added angle apply base calculated called centre circle clamp column commencement compass constructed contains continued correct Cosecants Cosines Cotangents cross hairs curve deducted Degrees and Minutes depression depth determined difference direction ditto divided division draw driven elevation employed entered equal example feet figure fixed give given ground half heading horizontal Hypothenuse incline instrument latitude length limb line A B Logarithm lower mark Measured Distance meridian method miner's mining multiplied natural object observed operation opposite parallel perpendicular placed plane plate plotted position practice previously PROBLEM produce radius reduced reference represent right-angled rule scale screw Secants shaft side sight sine staff station student surface survey surveyor taken tangent telescope term theodolite transit traverse triangle turn underground upper plate vernier vertical yards zero
Page 40 - Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
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.