Article contents
Euler and triangle geometry
Published online by Cambridge University Press: 01 August 2016
Extract
There is a very easy way to produce the Euler line, using transformational arguments. Given a triangle ABC, let AʹBʹ'C be the medial triangle, whose vertices are the midpoints of the sides. These two triangles are homothetic: they are similar and corresponding sides are parallel, and the centroid, G, is their centre of similitude. Alternatively, we say that AʹBʹC can be mapped to ABC by means of an enlargement, centre G, with scale factor –2.
- Type
- Articles
- Information
- Copyright
- Copyright © The Mathematical Association 2007
References
- 4
- Cited by