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## Local linear scale factors in map projections in the directions of coordinate axes

Lapaine, Miljenko; Frančula, Nedjeljko; Tutek Željka
Local linear scale factors in map projections in the directions of coordinate axes // Geo-spatial Information Science, 24 (2021), 4; 630-637 doi:10.1080/10095020.2021.1968321 (međunarodna recenzija, članak, znanstveni)

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Naslov
Local linear scale factors in map projections in the directions of coordinate axes

Autori
Lapaine, Miljenko ; Frančula, Nedjeljko ; Tutek Željka

Izvornik
Geo-spatial Information Science (1009-5020) 24 (2021), 4; 630-637

Ključne riječi
map projection ; scale factor ; horizontal scale factor ; vertical scale factor
(map projection ; scale factor ; horizontal scale factor ; vertcial scale factor)

Sažetak
This paper explains that the terms “horizontal and vertical scales” are not appropriate in map projections theory. Instead, the authors suggest using the term “scales in the direction of coordinate axes.” Since it is not possible to read a local linear scale factor in the direction of a coordinate axis immediately from the definition of a local linear scale factor, this paper considers the derivation of new formulae that enable local linear scale factors in the direction of coordinate x and y axes to be calculated. The formula for computing the local linear scale factor in any direction defined by dx and dy is also derived. Furthermore, the position and magnitude of the extreme values of the local linear scale factor are considered and new formulas derived.

Izvorni jezik
Engleski

Znanstvena područja
Geodezija

Ustanove:
Geodetski fakultet, Zagreb

Profili:

Miljenko Lapaine (autor)

Željka Tutek (autor)

Nedjeljko Frančula (autor)

#### Citiraj ovu publikaciju:

Lapaine, Miljenko; Frančula, Nedjeljko; Tutek Željka
Local linear scale factors in map projections in the directions of coordinate axes // Geo-spatial Information Science, 24 (2021), 4; 630-637 doi:10.1080/10095020.2021.1968321 (međunarodna recenzija, članak, znanstveni)
Lapaine, M., Frančula, N. & Tutek Željka (2021) Local linear scale factors in map projections in the directions of coordinate axes. Geo-spatial Information Science, 24 (4), 630-637 doi:10.1080/10095020.2021.1968321.
@article{article, author = {Lapaine, Miljenko and Fran\v{c}ula, Nedjeljko}, year = {2021}, pages = {630-637}, DOI = {10.1080/10095020.2021.1968321}, keywords = {map projection, scale factor, horizontal scale factor, vertical scale factor}, journal = {Geo-spatial Information Science}, doi = {10.1080/10095020.2021.1968321}, volume = {24}, number = {4}, issn = {1009-5020}, title = {Local linear scale factors in map projections in the directions of coordinate axes}, keyword = {map projection, scale factor, horizontal scale factor, vertical scale factor} }
@article{article, author = {Lapaine, Miljenko and Fran\v{c}ula, Nedjeljko}, year = {2021}, pages = {630-637}, DOI = {10.1080/10095020.2021.1968321}, keywords = {map projection, scale factor, horizontal scale factor, vertcial scale factor}, journal = {Geo-spatial Information Science}, doi = {10.1080/10095020.2021.1968321}, volume = {24}, number = {4}, issn = {1009-5020}, title = {Local linear scale factors in map projections in the directions of coordinate axes}, keyword = {map projection, scale factor, horizontal scale factor, vertcial scale factor} }

#### Časopis indeksira:

• Current Contents Connect (CCC)
• Web of Science Core Collection (WoSCC)
• Science Citation Index Expanded (SCI-EXP)
• SCI-EXP, SSCI i/ili A&HCI
• Emerging Sources Citation Index (ESCI)
• Scopus

#### Citati:

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