Augochy

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Sumitkumarjha75 (talk) 15:46, 23 January 2012 (UTC)

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Zone diagram (check to confirm | fix with Dab solver)

added links pointing to Fixed point, Compact, Fixed point theory, Plane and Jiri Matousek

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Great Circle Route calculation

Are you sure about the changes you made to the formula on calculating the great circle route? Accidentally I was trying the formula, as you modified it, today, and the resulting values did not match reality. Note that the previous formula (sin sin + cos cos cos(delta)) matches the worked example lower down in the Great Circle Distance page, and that the earlier formula is given many places elsewhere on the net. (For example, here: http://people.hofstra.edu/geotrans/eng/ch1en/conc1en/greatcircle.html).

I think the difference is that the spherical law of cosines, which you mimicked, uses the angles of the three edges of the triangle on the surface. But this is not what we have when we start with latitude and longitude. (I've not yet worked through the math, but I expect if you apply the spherical law of cosines, using the deltas of the latitude and longitude, then apply the normal rules for sine and cosine of sums, to elaborate the formula expressed in the lat/long frame of reference, you will find that the original formula was correct.

Bill (talk) 00:32, 6 November 2012 (UTC)

Thanks and sorry for returning to you after some much time (I don't read messages sent to me frequently). I used the spherical law of cosines while assuming measuring the latitude from the pole, as in spherical coordinates. This is done in the Wikipedia article about the spherical law of cosines. However, in geography one starts measuring the latitude from the equator, and this resulting in obtaining the formula you thought about. Anyway, my editing was reversed several hours after its creation. Augochy (talk) 22:20, 19 December 2012 (UTC)