Difference between revisions of "Sinusoidal"
From ICA Map Projections
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| − | | sinusoidal || || || サンソン || || || | + | | sinusoidal || || || サンソン ||Проекция Сансона || || |
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*{{FORMULATORNAME}} | *{{FORMULATORNAME}} | ||
*{{FORMULATORCITATION}} | *{{FORMULATORCITATION}} | ||
| − | *{{PROJECTIONSYNONYMS}} Mercator equal-area | + | *{{PROJECTIONSYNONYMS}} |
| − | *{{PROJECTIONPROPERTIES}} [[ | + | **Mercator equal-area |
| + | **Mercator-Sanson | ||
| + | **Sanson-Flamsteed | ||
| + | **Sanson | ||
| + | **シヌソイダル図法 | ||
| + | **正弦曲線図法 | ||
| + | *{{PROJECTIONPROPERTIES}} | ||
| + | **[[authalic]] | ||
| + | **scale along parallels is correct (in [[equatorial aspect]]) | ||
*{{PROJECTIONDERIVATIVES}} | *{{PROJECTIONDERIVATIVES}} | ||
*{{NAIVESPECIALIZATIONS}} | *{{NAIVESPECIALIZATIONS}} | ||
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*1570: Cossin produces a world map based on the projection with verifiably sinusoidal meridians. | *1570: Cossin produces a world map based on the projection with verifiably sinusoidal meridians. | ||
*1606: Jodocus Hondius (Amsterdam) uses the projection for maps of Africa and South America, presumably leading to the name ''Mercator equal-area''. | *1606: Jodocus Hondius (Amsterdam) uses the projection for maps of Africa and South America, presumably leading to the name ''Mercator equal-area''. | ||
| − | * | + | *ca. 1650: Nicolas Sanson d'Abbeville uses the projection extensively for maps of all continents. |
| − | * | + | *ca. 1675: John Flamsteed (England) uses the projection extensively in astronomical maps and praises its accuracy in correspondence with Isaac Newton. |
==Notes== | ==Notes== | ||
Latest revision as of 09:54, 31 October 2014
Contents
Projection name: sinusoidal
| English | Français | Deutsch | 日本語 | Русский | Español | Polski | Português |
|---|---|---|---|---|---|---|---|
| sinusoidal | サンソン | Проекция Сансона |
- Projection naming principle: Principle of Preponderance of Precedence.
- Year of origin: 1570.
- Name of originator: Jehan Cossin (Dieppe).
- Originator reference:
- Year of formulation:
- Name of formulator:
- Formula citation:
- Projection synonyms:
- Mercator equal-area
- Mercator-Sanson
- Sanson-Flamsteed
- Sanson
- シヌソイダル図法
- 正弦曲線図法
- Projection properties:
- authalic
- scale along parallels is correct (in equatorial aspect)
- Projection derivatives:
- Naïve specializations:
- Generalizations:
Rationale
Several reasons support the name sinusoidal:
- Alternatives attribute Sanson and/or Flamsteed, yet neither developed the projection.
- The originator is not known with certainty.
- The name is descriptive.
- The projection is so obvious as to render attribution meaningless.
- Modern texts surveyed preferred sinusoidal by a 1.25¹: 1² margin. As the 20th century progressed we see a strong shift toward sinusoidal. (Steers and Mainwaring did not commit to one name.)
Chronology of projection development
- 1570: Cossin produces a world map based on the projection with verifiably sinusoidal meridians.
- 1606: Jodocus Hondius (Amsterdam) uses the projection for maps of Africa and South America, presumably leading to the name Mercator equal-area.
- ca. 1650: Nicolas Sanson d'Abbeville uses the projection extensively for maps of all continents.
- ca. 1675: John Flamsteed (England) uses the projection extensively in astronomical maps and praises its accuracy in correspondence with Isaac Newton.
Notes
¹ A.H. Jameson & M.T.M. Ormsby, 1927; J.A. Steers, 1927; J. Mainwaring, 1942; G.P. Kellaway, 1946; National Geographic Society, 1947; C.E. Abelson, 1954; D.H. Maling, 1973; P.W. McDonnell, 1979; F. Pearson II, 1984; J.P. Snyder, 1989.
² M. d'Avezac, 1863; A.R. Hinks, 1912; M. Adams, 1914; C.H. Deetz & O.S. Adams, 1921; J.A. Steers, 1927; R.K. Melluish, 1931; J. Mainwaring, 1942; P. Richardus & R.K. Adler, 1972.
