### Scientific Research and Essays

• Abbreviation: Sci. Res. Essays
• Language: English
• ISSN: 1992-2248
• DOI: 10.5897/SRE
• Start Year: 2006
• Published Articles: 2758

## Variational cartographic projections for the Slovak Republic territory

##### VajsÃ¡blovÃ¡, Margita
• VajsÃ¡blovÃ¡, Margita
• Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovak Republic.
##### SzatmÃ¡ri, Daniel
• SzatmÃ¡ri, Daniel
• Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovak Republic.
Disadvantages of currently used KÅ™ováks projection in Slovak Republic such as large scale distortion became evident after dividing of Czechoslovakia. The new proposal of the cartographic projection for the Slovak Republic (Lamberts conformal conic projection in normal position) was created in 2010. The aim of this paper is to define an optimal oblique position of map projections for the Slovak Republic territory and to design two cartographic projections in different positions (normal, oblique) using variational criteria modified for conformal projections for the Slovak Republic. Used calculus, the achieved scale distortions and their comparison with scale distortions of currently used map projections will be demonstrated.