Proceedings of the United States Naval Institute 28, pt. 3

Cover 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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