1812 Pinkerton Large Old, Antique Stereographic Map of The Northern Hemisphere

Cartographer :John Pinkerton

Description: 
This very large and beautifully hand coloured original antique Stereographic Northern Hemisphere map was engraved by John Neele in 1812 - the date is engraved at the foot of the maps - and was published by the famous Scottish publisher John Pinkerton in his large folio Modern Atlas, which was published between 1809-14. 

Background: 
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point: the projection point. Where it is defined, the mapping is smooth and bijective. It is conformal, meaning that it preserves angles. It is neither isometric nor area-preserving: that is, it preserves neither distances nor the areas of figures.
Intuitively, then, the stereographic projection is a way of picturing the sphere as the plane, with some inevitable compromises. Because the sphere and the plane appear in many areas of mathematics and its applications, so does the stereographic projection; it finds use in diverse fields including complex analysis, cartography, geology, and photography. In practice, the projection is carried out by computer or by hand using a special kind of graph paper called a stereographic net, shortened to stereonet, or Wulff net.

The stereographic projection was known to Hipparchus, Ptolemy and probably earlier to the Egyptians. It was originally known as the planisphere projection. Planisphaerium by Ptolemy is the oldest surviving document that describes it. One of its most important uses was the representation of celestial charts. The term planisphere is still used to refer to such charts.
In the 16th and 17th century, the equatorial aspect of the stereographic projection was commonly used for maps of the Eastern and Western Hemispheres. It is believed that already the map created in 1507 by Gualterius Lud was in stereographic projection, as were later the maps of Jean Roze (1542), Rumold Mercator (1595), and many others. In star charts, even this equatorial aspect had been utilised already by the ancient astronomers like Ptolemy.
François d'Aguilon 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 1695, Edmond Halley, motivated by his interest in star charts, published the first mathematical proof that this map is conformal. He used the recently established tools of calculus, invented by his friend Isaac Newton. (Ref: Tooley; M&B)

General Description:
Paper thickness and quality: - Heavy and stable
Paper colour: - off white
Age of map colour: - Original & later
Colours used: - Green, pink, yellow
General colour appearance: - Authentic
Paper size: - 31in x 22in (790mm x 560mm)  
Plate size: - 31in x 22in (790mm x 560mm)  
Margins: - min 1in (25mm)

Imperfections:
Margins: - None
Plate area: - None
Verso: - None

$750.00