GraFar - Repository of the Faculty of Civil Engineering
Faculty of Civil Engineering of the University of Belgrade
    • English
    • Српски
    • Српски (Serbia)
  • English 
    • English
    • Serbian (Cyrillic)
    • Serbian (Latin)
  • Login
View Item 
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

One a possible constructive geometrical derivation of Mercator's conformal cylindrical map projection based on some historical facts

No Thumbnail
Authors
Popkonstantinović, Branislav
Čučaković, Aleksandar
Article (Published version)
Metadata
Show full item record
Abstract
In modern cartography, Mercator's conformal cylindrical map projection is mathematically described by equations which involve logarithmic and trigonometric functions. It is evident that calculus and di®erential geometry are necessary for the derivation of these equations. The very fact that Mercator's map was published in 1569, long before logarithms and calculus were invented, confirms that Mercator created his famous map projection somehow directly - by some simple and plain geometrical constructions. This paper exposes one possible constructive graphical method by which the direct geometrical synthesis of Mercator's conformal cylindrical map projection can be accomplished. We believe that the original inventive process used by Gerhard KREMER MERCATOR in creation of his famous world map was at least similar or compatible to the method exposed in this paper.
Keywords:
Cartography / Conformal / Loxodrome / Map / Mercator / Stereographic
Source:
Journal for Geometry and Graphics, 2006, 10, 1, 63-71
Publisher:
  • Heldermann Verlag

ISSN: 1433-8157

Scopus: 2-s2.0-85042036568
[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_122
URI
https://grafar.grf.bg.ac.rs/handle/123456789/122
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
TY  - JOUR
AU  - Popkonstantinović, Branislav
AU  - Čučaković, Aleksandar
PY  - 2006
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/122
AB  - In modern cartography, Mercator's conformal cylindrical map projection is mathematically described by equations which involve logarithmic and trigonometric functions. It is evident that calculus and di®erential geometry are necessary for the derivation of these equations. The very fact that Mercator's map was published in 1569, long before logarithms and calculus were invented, confirms that Mercator created his famous map projection somehow directly - by some simple and plain geometrical constructions. This paper exposes one possible constructive graphical method by which the direct geometrical synthesis of Mercator's conformal cylindrical map projection can be accomplished. We believe that the original inventive process used by Gerhard KREMER MERCATOR in creation of his famous world map was at least similar or compatible to the method exposed in this paper.
PB  - Heldermann Verlag
T2  - Journal for Geometry and Graphics
T1  - One a possible constructive geometrical derivation of Mercator's conformal cylindrical map projection based on some historical facts
EP  - 71
IS  - 1
SP  - 63
VL  - 10
UR  - https://hdl.handle.net/21.15107/rcub_grafar_122
ER  - 
@article{
author = "Popkonstantinović, Branislav and Čučaković, Aleksandar",
year = "2006",
abstract = "In modern cartography, Mercator's conformal cylindrical map projection is mathematically described by equations which involve logarithmic and trigonometric functions. It is evident that calculus and di®erential geometry are necessary for the derivation of these equations. The very fact that Mercator's map was published in 1569, long before logarithms and calculus were invented, confirms that Mercator created his famous map projection somehow directly - by some simple and plain geometrical constructions. This paper exposes one possible constructive graphical method by which the direct geometrical synthesis of Mercator's conformal cylindrical map projection can be accomplished. We believe that the original inventive process used by Gerhard KREMER MERCATOR in creation of his famous world map was at least similar or compatible to the method exposed in this paper.",
publisher = "Heldermann Verlag",
journal = "Journal for Geometry and Graphics",
title = "One a possible constructive geometrical derivation of Mercator's conformal cylindrical map projection based on some historical facts",
pages = "71-63",
number = "1",
volume = "10",
url = "https://hdl.handle.net/21.15107/rcub_grafar_122"
}
Popkonstantinović, B.,& Čučaković, A.. (2006). One a possible constructive geometrical derivation of Mercator's conformal cylindrical map projection based on some historical facts. in Journal for Geometry and Graphics
Heldermann Verlag., 10(1), 63-71.
https://hdl.handle.net/21.15107/rcub_grafar_122
Popkonstantinović B, Čučaković A. One a possible constructive geometrical derivation of Mercator's conformal cylindrical map projection based on some historical facts. in Journal for Geometry and Graphics. 2006;10(1):63-71.
https://hdl.handle.net/21.15107/rcub_grafar_122 .
Popkonstantinović, Branislav, Čučaković, Aleksandar, "One a possible constructive geometrical derivation of Mercator's conformal cylindrical map projection based on some historical facts" in Journal for Geometry and Graphics, 10, no. 1 (2006):63-71,
https://hdl.handle.net/21.15107/rcub_grafar_122 .

DSpace software copyright © 2002-2015  DuraSpace
About the GraFar Repository | Send Feedback

OpenAIRERCUB
 

 

All of DSpaceCommunitiesAuthorsTitlesSubjectsThis institutionAuthorsTitlesSubjects

Statistics

View Usage Statistics

DSpace software copyright © 2002-2015  DuraSpace
About the GraFar Repository | Send Feedback

OpenAIRERCUB