Bulletin of the Graduate School of Education, Hiroshima University. Part. II, Arts and science education Issue 67
2018-12-21 発行

メルカトル図法の数理 : 大学初年次のSTEM教材として

The Mathematics of Mercator Map: As a STEM topic for undergraduates
Saito, Toshio
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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。
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