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with reference to Trilateration using 3 latitude and longitude points, and 3 distances.

The accepted answer was votes as shown in wikipedia at: in conjunction with a conversion to Radians before and after.

Is there a way to incorporate Vincenty's formulae to this process to bring a more accurate answer?

Kind Regards

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Over the sort of distances in the original question, its unlikely to make any kind of significant distance. Can you tell us more about your specific situation? – BradHards Mar 24 '13 at 10:55

For a discussion of various problems in ellipsoidal trigonometry, see Sections 10 and 11 of

Some similar problems are also discussed in

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