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ID 46767
file
title alternative
The Mathematics of Mercator Map: As a STEM topic for undergraduates
creator
Saito, Toshio
subject
Mercator map
rhumb line
great circle
STEM topic
メルカトル図
大圏航路
等角航路
STEM教材
NDC
Education
abstract
The Mercator map or projection is one of the map projections treated in Social Studies of junior high and high school courses. The most important feature is that the projection is conformal meaning that it preserves angles. In this article, we first explain this conformal property elementarily but rigorously in order to propose that the topic is suitable for undergraduates as a STEM topic. Also, we give a parametrization of the plane curve obtained by projecting a great circle on the earth onto the Mercator map. Finally, we examine a rhumb line and calculate the distance along it.
description
本研究は,JSPS科研費JP17H00820の助成を受けたものである。
journal title
Bulletin of the Graduate School of Education, Hiroshima University. Part. II, Arts and science education
issue
Issue 67
start page
29
end page
37
date of issued
2018-12-21
publisher
広島大学大学院教育学研究科
issn
1346-5554
ncid
language
jpn
nii type
Departmental Bulletin Paper
HU type
Departmental Bulletin Papers
DCMI type
text
format
application/pdf
text version
publisher
department
Graduate School of Education
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