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.
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 .
