Illustration of steps 1–4 for plotting a point on a Wulff net For an example of the use of the Wulff net, imagine two copies of it on thin paper, one atop the other, aligned and tacked at their mutual center. He used the recently established tools of, invented by his friend. In 1695, motivated by his interest in, published the first mathematical proof that this map is. Gave the stereographic projection its current name in his 1613 work Opticorum libri sex philosophis juxta ac mathematicis utiles (Six Books of Optics, useful for philosophers and mathematicians alike). In star charts, even this equatorial aspect had been utilised already by the ancient astronomers like. It is believed that already the map created in 1507 by was in stereographic projection, as were later the maps of (1542), (1595), and many others. In the 16th and 17th century, the aspect of the stereographic projection was commonly used for maps of the and. The term is still used to refer to such charts.

One of its most important uses was the representation of. By Ptolemy is the oldest surviving document that describes it. It was originally known as the planisphere projection. The stereographic projection was known to, and probably earlier to the. It demonstrates how the projection is computed. Illustration by for 'Opticorum libri sex philosophis juxta ac mathematicis utiles'. In practice, the projection is carried out by or by hand using a special kind of called a stereographic net, shortened to stereonet, or Wulff net.

Because the sphere and the plane appear in many areas of and its applications, so does the stereographic projection it finds use in diverse fields including, and.

Intuitively, then, the stereographic projection is a way of picturing the sphere as the plane, with some inevitable compromises. It is neither nor area-preserving: that is, it preserves neither distances nor the areas of figures. It is, meaning that it preserves at which curves meet. The projection is defined on the entire sphere, except at one point: the projection point. In, the stereographic projection is a particular mapping () that projects a onto a.We would like to show you a description here but the site won’t allow us. Crash Tag Team Racing For Pc Full Version.

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