The Practical Miner's Guide: Comprising a Set of Trigonometrical Tables ...

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Longman, Brown, Green, and Longmans, 1845 - Mining engineering - 218 pages
 

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Page iii - PRACTICAL MINER'S GUIDE; Comprising a Set of Trigonometrical Tables adapted to all the purposes of Oblique or Diagonal, Vertical, Horizontal, and Traverse Dialling ; with their application to the Dial, Exercise of Drifts, Lodes, Slides, Levelling, Inaccessible Distances, Heights, &c.
Page 131 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 88 - What is said of Mercator's sailing may, in the chief respect, be applied to horizontal dialling, viz.: " It is the art of finding on a plane surface the motion of a ship upon any assigned course by the compass, which shall be true in latitude, longitude, and distance sailed...
Page 19 - The squares of two sides of a triangle are together double the square of half the base, and of the square of a straight line drawn from the vertex to bisect the base. The sum of the three angles of every plane triangle being equal to half a circle, or 180 degrees, it therefore follows that if either acute angle, in such triangle, be taken from 90°, the remainder will be the other acute angle, or the complement. The supplement of any angle is what that angle wants of 180°: hence the supplement of...
Page 186 - ... 2 feet 8 inches at the end of the 6th draft, and 55 fathoms from the western mouth of the tunnel. PROBLEM. It is intended to sink a shaft on the end of a level driven from Pendarves' shaft, and the following is the survey from the centre of Pendarves' shaft, to the end of the level ; viz.
Page 95 - AC in d and e ; then take the distance ed in your compasses, and setting one foot on the brass pin at the beginning of the chords on your scale, observe how many degrees the other foot reaches to, which will be 4° 15
Page 90 - ... multiply them respectively by the length of the hypothenuse, reduced into fathoms and parts (if any), and place them in their proper positions until the whole has been calculated ; then take the sum of the bases north and south one from the other, and the sum of the perpendiculars east and west one from the other ; the perpendicular remainders will show the east and west line, and the bases the distance the dialling has extended north or south of that line. The work is now brought to that case...
Page 170 - ... north of east, and so of all the rest. In winding up this course of instruction, we will take a short survey, and go through with it at length, and the student may accompany us if he pleases ; for we are still of the same opinion as when we wrote the first volume, that practical teaching is the best.
Page 11 - Multiply the decimal by the number of parts in the next less denomination, and cut off so many places for a remainder, to the right hand, as there are places in the given decimal. 2. Multiply the remainder by the...
Page 18 - In a right-angled triangle, the side opposite to the right angle is called the hypotenuse, and the other two sides, the base and perpendicular, according to their position. In the diagram the three squares are described on the outer sides of the triangle ABC.

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