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it compare to the distance between each degree of longitude at the Equator?
Why? Second, measure the distance between each successive whole degree
of latitude at 60 degrees north latitude. How does it compare to the distance
between each degree of latitude at the Equator? Third, measure the distance
between each successive whole degree of latitude at 80 degrees north, and
compare it to your results along the Equator and at 60 degrees north. The dis-
tance between lines of latitude does not vary across the Earth's surface, and
so all of your measurements should be around 111 km.
2.11 Summary and looking ahead
All of our geometric analyses in this chapter have been based on Euclidean
geometry, assuming Euclid's Parallel Postulate: Given a line and a point not
on the line—through that point there passes exactly one line that does not
intersect the given line. Non-Euclidean geometries violate this Postulate. What
does the geometry of the Earth-sphere become in the non-Euclidean world?
We think a bit more about that, and other issues that stretch the imagination,
later in this topic!
2.12 Related theory and practice: Access through QR codes
Theory
Persistent archive:
University of Michigan Library Deep Blue: http://deepblue.lib.umich.edu/handle/2027.42/58219
From Institute of Mathematical Geography site: http://www.imagenet.org/
Arlinghaus, S. L. and J. Kerski. 2010. MatheMaPics: Educational Research Collaboration. Solstice: An Electronic
Journal of Geography and Mathematics. Volume XXI, No. 1. Ann Arbor: Institute of Mathematical Geography.
http://www.mylovedone.com/image/solstice/sum10/MatheMaPics.html
Arlinghaus, S. L. 2008. Project Archimedes. Solstice: An Electronic Journal of Geography and Mathematics . Volume XIX,
Number 2. Ann Arbor: Institute of Mathematical Geography. http://www-personal.umich.edu/~copyrght/image/solstice/
win08/test/Pirelli07/Pirelli2007.html
Arlinghaus, S. L. and W. C. Arlinghaus. 2005. Spatial Synthesis: Centrality and Hierarchy . Volume I, Book 1. Ann Arbor:
Institute of Mathematical Geography. http://www-personal.umich.edu/~copyrght/image/books/Spatial%20Synthesis2/
Arlinghaus, S. L. 1990. Parallels Between Parallels. Solstice: An Electronic Journal of Geography and Mathematics . Volume I, No.
2. Ann Arbor: Institute of Mathematical Geography. http://www-personal.umich.edu/~copyrght/image/solstice/sols290.html
 
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