Proceedings of the United States Naval Institute 28, pt. 3
Proceedings of the United States Naval Institute 28, pt. 3
United States Naval Institute
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The dif- P Digitized by VjOOQIC INTERSECTION OF TWO SUMNER LINES. 583 ferences from the first case by both methods simply involve a change of signs. (i) By Table 5 B. If the ship is steaming from A^ toward Bj, the first angle from the keel line is 90** — a, and the second, 90** — p\ if steaming from B^ toward A^, the first angle is 90** -|- /?, and the second 90** + a; in other words, either add both angles to 90** or substract both from 90** and enter with the smaller angle as the first bearin...g. (2) By Table 2. It now appears that OAj — OBi = Ai B^; in other words, the values must be so found that the difference of the corresponding departures equals the difference of longi- tude, instead of their sums, as before. Let us now find the intersection of the lines : B. 49°3o'N. A, J 49" 50' + 20' lat. Line runs NE.-SW. ' |5»24-8'W. 1 5° 21.5' — 3-3' long. a = 9". 49^30'^ B, 149° 50' + 20' lat Line runs NE.-SW * Is" 25.8' W. [4" 52.1' — 33-7' long. /S = 59°. A, B, = i.o'. In this Bj is west of Aj, the lines both run NE.-SW.
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