On The Riemann Sphere
The surface of the earth can be understood mathematically as a Riemann sphere, that is, as a projection of the sphere to the complex plane. In this case, loxodromes can be understood as certain classes of Möbius transformations.
Read more about this topic: Rhumb Line
Famous quotes containing the word sphere:
“O sun,
Burn the great sphere thou mov’st in! darkling stand
The varying shore o’ th’ world!”
—William Shakespeare (1564–1616)