Celestial Navigation · Circle of Position

Why is a celestial line of position plotted as a straight line rather than the circle of equal altitude it really is?

Explanation

A sight defines a circle of equal altitude centered on the body's geographic position, with radius equal to the zenith distance (often thousands of miles). Over the few miles near the assumed position, that huge arc is sensibly straight, so it is plotted as a tangent straight line.

Authority: Bowditch (Pub. No. 9), circle of equal altitude

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