A Three-Wire Method of Plumbing a Shaft

SOME years ago the writer had the opportunity to plumb a number of mine-shafts, each of which presented various conditions and difficulties. This afforded the chance to compare several methods of shaft plumbing in the light of ease and rapidity. This comparison led to the development of an adaption of the Weisbach, or approximate alignment, method, to three wires in a single shaft. Professor Weisbach, some time prior to 1850, introduced his method of shaft plumbing by triangulation on but two wires, and was the first to show that a triangle of very narrow shape is the best for this purpose. THE WEISBACH METHOD The two-wire method, using a Weisbach triangle, is described in several .English text-books on mine surveying and is used frequently in various parts of the world, but in Canada it is almost unknown. The writer has described an example of this two-wire method (1), but a brief resumé here may clarify the explanation of its application to three wires. In this two-wire method, instead of endeavouring accurately to align the instrument with the wires, it is set only in approximate alignment, and the small angle formed at the instrument is measured. This is expressed graphically in Figure l, where C represents the position of the instrument and A and B the positions of the wires. The sides of the triangle are measured as well as the angle ACB, and the angles at B and A are found by applying the Sine Rule or the formula