Vecten4

Vecten Configuration (4)

On the sides of triangle t=(ABC) erect squares.
The triangles ADI, CHG, EBF are known as [flanks].
The prolongations of the heights of t are midlines of the flanks. i.e. K is the middle of DI.

To see this catch and move point N. Triangle ADI rotates about A. If I' is made coincident with C then the prolongation of AJ is turned correspondingly to AK', orthogonal to AJ. AD' being equal to AB implies that K' is the middle of D'I'.

For a continuation of the study of Vecten configuration look at the file: Vecten5.html .

The file Vecten.html introduces the subject and discusses the first properties of the Vecten configuration of an arbitrary triangle.

http://users.math.uoc.gr/~pamfilos/