A treatise on land-surveying; comprising the theory developed from five elementary principles; and the practice with the chain alone, the compass, the transit, the theodolite, the plane table, &c. Illustrated by four hundred engravings, and a magnetic chart (1875)
Gillespie, W. M. (William Mitchell), 1816-1868 · New York, D. Appleton · leaf 395
Theorem IV.—Conversely: If three points are situated on the three sides of a tri-angle, or on their prolongations {either one, or three, of thise points being on the sides)so that they divide these lines in such a vjay that the product of any three non-consecutive parts equals the product of the… … CoE. 1.—The MEDIATES of a triangle (L e., the lines drawn from its summits tothe middles of the opposite sides) tneet in the same point. For, supposing, in Fig. 405, the points D, E, and F to be the middles of the sides,the products of the non-consecutive parts will be equal, i. e., AE X BF X CD…
Surveying
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