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The sinusoidal projection is a pseudocylindrical equal-area 
Similar projections which wrap the east and west parts of the sinusoidal projection around the
"MODLAND Integerized Sinusoidal Grid"
/ref>
Pseudocylindrical ProjectionsTable of examples and properties of all common projections
from radicalcartography.net {{Authority control Equal-area projections
The sinusoidal projection is a pseudocylindrical equal-area map projection
In cartography, a map projection is any of a broad set of Transformation (function) , transformations employed to represent the curved two-dimensional Surface (mathematics), surface of a globe on a Plane (mathematics), plane. In a map projection, ...
, sometimes called the Sanson–Flamsteed or the Mercator equal-area projection. Jean Cossin of Dieppe
Dieppe (; ; or Old Norse ) is a coastal commune in the Seine-Maritime department, Normandy, northern France.
Dieppe is a seaport on the English Channel at the mouth of the river Arques. A regular ferry service runs to Newhaven in England ...
was one of the first mapmakers to use the sinusoidal, using it in a world map in 1570.
The projection represents the poles as points, as they are on the sphere, but the meridians and continents are distorted. The equator and the central meridian are the most accurate parts of the map, having no distortion at all, and the further away from those that one examines, the greater the distortion.
The projection is defined by:
:
where is the latitude, ''λ'' is the longitude, and ''λ'' is the longitude of the central meridian.
Scale is constant along the central meridian, and east–west scale is constant throughout the map. Therefore, the length of each parallel on the map is proportional to the cosine of the latitude, as it is on the globe. This makes the left and right bounding meridians of the map into half of a sine wave, each mirroring the other. Each meridian is half of a sine wave with only the amplitude differing, giving the projection its name. Each is shown on the map as longer than the central meridian, whereas on the globe all are the same length.
The true distance between two points on a meridian can be measured on the map as the vertical distance between the parallels that intersect the meridian at those points. With no distortion along the central meridian and the equator
The equator is the circle of latitude that divides Earth into the Northern Hemisphere, Northern and Southern Hemisphere, Southern Hemispheres of Earth, hemispheres. It is an imaginary line located at 0 degrees latitude, about in circumferen ...
, 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.
Similar projections which wrap the east and west parts of the sinusoidal projection around the North Pole
The North Pole, also known as the Geographic North Pole or Terrestrial North Pole, is the point in the Northern Hemisphere where the Earth's rotation, Earth's axis of rotation meets its surface. It is called the True North Pole to distingu ...
are the Werner and the intermediate Bonne and Bottomley projections.
The MODLAND Integerized Sinusoidal Grid, based on the sinusoidal projection, is a geodesic grid developed by the NASA's Moderate-Resolution Imaging Spectroradiometer ( MODIS) science team.NASA"MODLAND Integerized Sinusoidal Grid"
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See also
*List of map projections
This is a summary of map projections that have articles of their own on Wikipedia or that are otherwise WP:NOTABLE, notable. Because there is no limit to the number of possible map projections,
there can be no comprehensive list.
Table of proj ...
* Gerardus Mercator
Gerardus Mercator (; 5 March 1512 – 2 December 1594) was a Flemish people, Flemish geographer, cosmographer and Cartography, cartographer. He is most renowned for creating the Mercator 1569 world map, 1569 world map based on a new Mercator pr ...
, Nicolas Sanson, and John Flamsteed
John Flamsteed (19 August 1646 – 31 December 1719) was an English astronomer and the first Astronomer Royal. His main achievements were the preparation of a 3,000-star catalogue, ''Catalogus Britannicus'', and a star atlas called '' Atlas ...
– mathematicians who developed the technique.
References
External links
*Pseudocylindrical Projections
from radicalcartography.net {{Authority control Equal-area projections