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How is the sinusoidal projection of the globe defined?
The projection is defined by: is the latitude, λ is the longitude, and λ0 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.
Who was the first person to use the sinusoidal projection?
Sinusoidal projection of the world. The sinusoidal projection is a pseudocylindrical equal-area map projection, sometimes called the Sanson–Flamsteed or the Mercator equal-area projection. Jean Cossin of Dieppe was one of the first mapmakers to use the sinusoidal, appearing in a world map of 1570.
How is distortion reduced in a sinusoidal projection?
A sinusoidal projection shows relative sizes accurately, but distorts shapes and directions. Distortion can be reduced by “interrupting” the map.
How is the length of a sine wave related to latitude?
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.
Is there a linework for a sinusoidal interrupted projection?
I have been looking for a sinusoidal interrupted projection, with a traditional linework (but any would do) that I could get printed and apply to his globe to finish his work for him (as a surprise!). I have contacted a few companies but they are charging around 3000 EUR (linework and background topography image) which is way too much for me.
What happens when a projection is interrupted in a map?
By interrupting a projection, a cartographeris doing nothing more than increasing the total length of central meridiancontained in a map. Consider the uninterrupted Mollweide projection shown in Figure 1. This map has a single central meridianthat runs halfway around the globe, from one pole to the other.