The map of Piri Reis perfectly fits an azimuthal equidistant projection of the world centered in Cairo, and some believe it's also the oldest surviving map of Antarctica, despite being drawn more than three centuries before the official discovery of that continent.
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The "'Aitoff projection "'is a modified azimuthal map projection first proposed by David A . Aitoff in 1889 . Based on the equatorial form of the azimuthal equidistant projection, Aitoff halved longitudes from the central meridian, projected by the azimuthal equidistant, and then stretched the result horizontally into a 2 : 1 ellipse.