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## 'Over the Pole' printed from http://nrich.maths.org/

Compare the distance between two points diametrically opposite
each other on a line of latitude by travelling around the line of
latitude in the first case and by travelling directly over the
nearest pole along a line of longitude in the other case.

Make this comparison for different lines of latitude and show
that the ratio of the distances tends to a limit as the lines of
latitude get nearer to the pole.

The

Earth Animation
requires Flash Player version 9. Click on the Earth to draw the
lines of latitude and longitude. Move the mouse pointer to the
window edges to navigate.