In Search of the Euler Line

Summary

It was in 1765 the Swiss mathematician Leonard Euler proved that the centroid of a triangle trisects the line segment joining its circumcentre to its orthocentre. Thus the circumcentre, the centroid, and the orthocentre are collinear and form the Euler line of a triangle. The geometry features of the CAS lend themselves nicely to an investigation of the Euler line of a triangle. Starting with pen and paper, then progressing quickly to technology, this activity incorporates many aspects of coordinate geometry. No previous CAS knowledge is essential for attendees.

(Bring your TI-Nspire or borrow one provided.)

Presenters
Shane Dempsey
Raymond Rozen

Session Code Session Date Session Start Session Finish Session Location Places Remaining
D-18 06/12/2018 02:30 pm 03:30 pm La Trobe University OPTION FULL
E-13 06/12/2018 03:40 pm 04:40 pm La Trobe University
9

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