Department of Energy Argonne National Laboratory Office of Science NEWTON's Homepage NEWTON's Homepage
NEWTON, Ask A Scientist!
NEWTON Home Page NEWTON Teachers Visit Our Archives Ask A Question How To Ask A Question Question of the Week Our Expert Scientists Volunteer at NEWTON! Frequently Asked Questions Referencing NEWTON About NEWTON About Ask A Scientist Education At Argonne Non-Euclidean geometry ideas
Name: reilly a conway
Status: N/A
Age: N/A
Location: N/A
Country: N/A
Date: Around 1995


Question:
If anyone is up to helping me, I would like your insight, ideas, etc. on non-Euclidean geometry.


Replies:
Here is something to get you started: draw a triangle on the surface of a sphere. Show that the sum of the interior angles is now NEVER equal to 180 but is, in fact, 180 < sum <= 540 depending on the relative sizes of the sphere and the triangle. The surface of a sphere is a simple example of a non-Euclidean, two-dimensional space, that is easy to visualize. Things get more difficult with higher-dimensional spaces!

hawley



Click here to return to the Mathematics Archives

NEWTON is an electronic community for Science, Math, and Computer Science K-12 Educators, sponsored and operated by Argonne National Laboratory's Educational Programs, Andrew Skipor, Ph.D., Head of Educational Programs.

For assistance with NEWTON contact a System Operator (help@newton.dep.anl.gov), or at Argonne's Educational Programs

NEWTON AND ASK A SCIENTIST
Educational Programs
Building 360
9700 S. Cass Ave.
Argonne, Illinois
60439-4845, USA
Update: June 2012
Weclome To Newton

Argonne National Laboratory