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The Bottomley map projection is a pseudoconical equal area map projection defined as:
:
where
:
and ''φ'' is the latitude, ''λ'' is the longitude from the central meridian, and ''φ''1 is the given parallel of the projection which determines its shape, all in radians.
The inverse projection is then given by:
:
where
:
Parallels (i.e. lines of latitude) are concentric elliptical arcs of constant Compare Map Projections
/ref> It was introduced by Henry Bottomley as an alternative to the
Cybergeo article
''Between the Sinusoidal projection and the Werner: an alternative to the Bonne (Une alternative à la projection cartographique de Bonne)'', Henry Bottomley, 2003 Equal-area projections {{Cartography-stub
The Bottomley map projection is a pseudoconical equal area map projection defined as:
:
where
:
and ''φ'' is the latitude, ''λ'' is the longitude from the central meridian, and ''φ''1 is the given parallel of the projection which determines its shape, all in radians.
The inverse projection is then given by:
:
where
:
Parallels (i.e. lines of latitude) are concentric elliptical arcs of constant eccentricity
Eccentricity or eccentric may refer to:
* Eccentricity (behavior), odd behavior on the part of a person, as opposed to being "normal"
Mathematics, science and technology Mathematics
* Off-Centre (geometry), center, in geometry
* Eccentricity (g ...
equal to cos ''φ''1, centred on 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 ...
. On the central meridian, shapes are not distorted, but elsewhere they are. Different projections can be produced by altering the eccentricity of the arcs, making it vary between the sinusoidal projection
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, using it in ...
and the Werner projection
The Werner projection is a pseudoconic equal-area map projection sometimes called the Stab-Werner or Stabius-Werner projection. Like other heart-shaped projections, it is also categorized as cordiform. ''Stab-Werner'' refers to two originators: ...
. For larger values of ''φ''1, it produces a heart shape./ref> It was introduced by Henry Bottomley as an alternative to the
Bonne projection
The Bonne projection is a pseudoconical equal-area map projection, sometimes called a dépôt de la guerre, modified Flamsteed, or a Sylvanus projection. Although named after Rigobert Bonne (1727–1795), the projection was in use prior to his ...
to reduce the extent of extreme distortion at the edges and give a more satisfying overall shape.
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 ...
References
External links
Cybergeo article
''Between the Sinusoidal projection and the Werner: an alternative to the Bonne (Une alternative à la projection cartographique de Bonne)'', Henry Bottomley, 2003 Equal-area projections {{Cartography-stub