Mathematical projection in which the angular relationships of lines and planes of the object represented are drawn in terms of their relationship to the great circle formed by the intersection of the equatorial plane with the surface of an imaginary sphere containing the object. This technique has applications in cartography and astronomy.
- In Planisphaerium he is concerned with stereographic projection of the celestial sphere onto a plane.
- The astrolabe, whose mathematical theory is based on the stereographic projection of the sphere, was invented in late antiquity, but its extensive development in Islam made it the pocket watch of the medievals.
- He exhibited the logarithmic spiral as the stereographic projection of a loxodrome on a sphere, a projection he proved to be conformal.
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