photos taken during renovation of the
Minnehaha Creek during fall/spring 2001/02
in south Minneapolis, Minnesota, (in the .us)
(i.e. why there is both snow and neon grass).
have been wondering about geographic coordinates
and this leads me to a question i was wondering if
anyone on list would have the answer to....
i've been reading about geometry and 'great circles'
and wondered how one can figure out the coordinates
of the exact opposite place on Earth, via the idea
of a great circle
INTRODUCTION
"Image a sphere.
It is unity's perfect symbol. Each point on its
surface is identical to every other, equidistant from
the unique point at its center.
Establishing a single point on the sphere allows
others to be defined in relation to it. The simplest
and most obvious relationship is with the point directly
opposite {{on Earth...}}, found by extending a line
through the sphere's center to the other side. Add a
third point and space all three as far from each other
as possible to define an equilateral triangle. The
three points lie on a circle with a radius equal to
the sphere's and sharing its center, an example of
the largest circles possible on a sphere, known as
great circles. Point, line, and triangle occupy zero,
one, and two dimensions respectively. It takes a
minimum of four points to define an uncurved three-
dimensional form.
This small book charts the unfolding of number
in three-dimensional space through the most fundamental
forms derived from the sphere. A cornerstone of
mathematical and artistic inquiry since antiquity,
after countless generations these beautiful forms
continue to intrigue and inspire." ~Cario, Summer 2001
from: Platonic and Archimedean Solids, Daud Sutton
INTRODUCTION. wooden books. walker and co. NYC 2002
define: great circle
http://www.google.com/search?client=safari&rls=en- us&q=define:great+circle&ie=UTF-8&oe=UTF-8
great circle distance
http://www.wcrl.ars.usda.gov/cec/java/lat-long.htm
anyone know how coordinates work, and how to find a
city/place opposite on the exact opposite side of the
Earth? i am not sure how geo-coordinates work, or how
it could be figured out with some (visual) accuracy.
any help, advice, suggestions, or how-to appreciated...
brian