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The Euler line and where it led to

Published online by Cambridge University Press:  22 September 2016

Donald Macnab
Donald Macnab*
Affiliation:
College of Education, Aberdeen AB9 1FA
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Extract

One day, as I was struggling to construct examination questions on vectors in geometry, the following thought (1) occurred to me.

  • (1) If the position vectors of points A, B, C are denoted by a, b, and c respectively, then the position vector of the centroid G of ΔABC is ⅓(a + b + c), but similar formulae for the circumcentre, orthocentre and incentre are not commonly known.

After the thought had drifted about in my mind, it prompted a second observation (2).

Type
Research Article
Information
The Mathematical Gazette , Volume 68 , Issue 444 , June 1984 , pp. 95 - 98
Copyright
Copyright © Mathematical Association 1984

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