Determine an unknown position from bearings on three points of reference.
I resolved ambiguities in the following way: Stand at point P and face triangle ABC, and always take bearings α, β from left to right. Then, *x = distance to the point on my left. *y = distance to the rightmost point. *z = distance to the center point. The vector giving my position will always be drawn from the center point, along z. Rotate P around triangle ABC and the angles change abruptly when, from P's point of view, two points trade places. But the leading and trailing lines x and y rotate smoothly across the transitions, and my position does not jump. [i]To Do:[/i] Find alternate approaches. Develop simplifying approximations. Introduce heading. Handle positions correctly within the triangle ABC (dot product to determine front/back). * Typographical weirdness: Not in original file. Why are only two matrices displaying wrongly, and only in an HTML window?*