Park City Mathematics Institute
Secondary School Teachers Program
Summer 2011
Does a Tetrahedron Have an Euler Line?
by Troy Jones

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We compared and contrasted points of concurrency in a triangle to their analogs in a tetrahedron. Certain circles and spheres associated with these points of concurrency were discussed. Cabri 3D was used to model and help visualize the properties and relationships between the various points and segments in the two-dimensional and three-dimensional cases.

Download Troy's presentation as:
.pptm || zipped .pptm || .pdf || .mov

Note: If you view either the PDF or MOV versions of this file, the animated 3D features will not display. You may not be able to manipulate the embedded figures unless you have Cabri 3D installed on your computer or at least the appropriate plugin.

 

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IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540.
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With program support provided by Math for America

This material is based upon work supported by the National Science Foundation under Grant No. 0314808 and Grant No. ESI-0554309. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.