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## Mollweide Map Projection

Lapaine, Miljenko
Mollweide Map Projection // KoG : znanstveno-stručni časopis Hrvatskog društva za konstruktivnu geometriju i kompjutorsku grafiku, 15 (2011), 7-16 (podatak o recenziji nije dostupan, članak, znanstveni)

Naslov
Mollweide Map Projection

Autori
Lapaine, Miljenko

Izvornik
KoG : znanstveno-stručni časopis Hrvatskog društva za konstruktivnu geometriju i kompjutorsku grafiku (1331-1611) 15 (2011); 7-16

Ključne riječi
Mollweide; Mollweide's formula; Mollweide map projection

Sažetak
Karl Brandan Mollweide (1774–1825) was German mathematician and astronomer. The formulas known after him as Mollweide's formulas are shown in the paper, as well as the proof "without words". Then, the Mollweide map projection is defined and formulas derived in different ways to show several possibilities that lead to the same result. A generalization of Mollweide projection is derived enabling to obtain a pseudocylindrical equal-area projection having the overall shape of an ellipse with any prescribed ratio of its semiaxes. The inverse equations of Mollweide projection has been derived, as well. The most important part in research of any map projection is distortion distribution. That means that the paper continues with the formulas and images enabling us to get some filling about the linear and angular distortion of the Mollweide projection. Finally, several applications of Mollweide projections are represented, with the International Cartographic Association logo as an example of one of its successful applications.

Izvorni jezik
Engleski

Znanstvena područja
Geodezija

Projekt / tema
007-0071588-1593 - Kartografija Jadrana (Miljenko Lapaine, )

Ustanove
Geodetski fakultet, Zagreb

Profili:

Miljenko Lapaine (autor)

#### Citiraj ovu publikaciju

Lapaine, Miljenko
Mollweide Map Projection // KoG : znanstveno-stručni časopis Hrvatskog društva za konstruktivnu geometriju i kompjutorsku grafiku, 15 (2011), 7-16 (podatak o recenziji nije dostupan, članak, znanstveni)
Lapaine, M. (2011) Mollweide Map Projection. KoG : znanstveno-stručni časopis Hrvatskog društva za konstruktivnu geometriju i kompjutorsku grafiku, 15, 7-16.
@article{article, author = {Lapaine, M.}, year = {2011}, pages = {7-16}, keywords = {Mollweide, Mollweide's formula, Mollweide map projection}, journal = {KoG : znanstveno-stru\v{c}ni \v{c}asopis Hrvatskog dru\v{s}tva za konstruktivnu geometriju i kompjutorsku grafiku}, volume = {15}, issn = {1331-1611}, title = {Mollweide Map Projection}, keyword = {Mollweide, Mollweide's formula, Mollweide map projection} }

#### Uključenost u ostale bibliografske baze podataka:

• MathSciNet
• Zentrallblatt für Mathematik/Mathematical Abstracts
• Mathematical Reviews