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For example, a Mercator map printed in a book might have an equatorial width of 13.4 cm corresponding to a globe radius of 2.13 cm and an RF of approximately 1 / 300M (M is used as an abbreviation for 1,000,000 in writing an RF) whereas Mercator's original 1569 map has a width of 198 cm corresponding to a globe radius of 31.5 cm and an ...
The straight-line distance between the central point on the map to any other point is the same as the straight-line 3D distance through the globe between the two points. c. 150 BC: Stereographic: Azimuthal Conformal Hipparchos* Map is infinite in extent with outer hemisphere inflating severely, so it is often used as two hemispheres.
With no distortion along the central meridian and the equator, distances along those lines are correct, as are the angles of intersection of other lines with those two lines. Distortion is lowest throughout the region of the map close to those lines. A sinusoidal projection shows relative sizes accurately, but distorts shapes and directions.
All of the other 28 points are written only in Dutch, confirming Mercator's wish that his map would be put to practical use by mariners. Within the map Mercator embellishes the open seas with fleets of ships, sea creatures, of which one is a dolphin, and a striking god-like figure which may be Triton. The unknown continental interiors are ...
Gerardus Mercator (/ dʒ ɪ ˈ r ɑːr d ə s m ɜːr ˈ k eɪ t ər /; [a] [b] [c] 5 March 1512 – 2 December 1594) [d] was a Flemish geographer, cosmographer and cartographer.He is most renowned for creating the 1569 world map based on a new projection which represented sailing courses of constant bearing (rhumb lines) as straight lines—an innovation that is still employed in nautical charts.
The Behrmann projection with Tissot's indicatrices The Mercator projection with Tissot's indicatrices. In cartography, a Tissot's indicatrix (Tissot indicatrix, Tissot's ellipse, Tissot ellipse, ellipse of distortion) (plural: "Tissot's indicatrices") is a mathematical contrivance presented by French mathematician Nicolas Auguste Tissot in 1859 and 1871 in order to characterize local ...
World map made by Rumold Mercator in 1587, using two equatorial aspects of the stereographic projection. The stereographic projection was likely known in its polar aspect to the ancient Egyptians , though its invention is often credited to Hipparchus , who was the first Greek to use it.
Miller projection with 1,000 km indicatrices of distortion. The Miller cylindrical projection is a modified Mercator projection, proposed by Osborn Maitland Miller in 1942. The latitude is scaled by a factor of 4 ⁄ 5, projected according to Mercator, and then the result is multiplied by 5 ⁄ 4 to retain scale along the equator. [1] Hence: