40b. Position of a Ship at Sea from Two Known Points

[b]Proposition:[/b] [i]Given two known inaccessible points A and B, to determine the location of two accessible unknown points P and P' from bearings on A and B.[/i] Example: I am on a ship at sea and I take bearings from two familiar points on land. If I maintain a straight line course and take bearings twice I can determine my heading and the locations where the bearings were taken. This is problem #40 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics[/i] (The solution is my own.) ________ These are self-study materials. Let me know how I can make them more useful to you.

 

Ryan Hirst

 
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bearings  chart  compass  map  navigation  straightedge  triangulation 
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