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Method C2

Here we again look at the locus of P for the relationship AP = r x BP.
We start with r = 1.2 again but this time increase it to 4 and then reduce it to 1/4 (ie 0.25).

Before running the movie it is worth asking what happens to the locus (ie the circle)
- as r becomes less than 1.2
- as r reaches 1
- as r becomes less than 1
- as r reaches 1/4
- when r = 4 and when r = 1/4 ?

On the next page we look at the triangle ABP and at the line segments from P to the positions of P where BP is a minimum and a maximum. We consider why P moves on a circle, ie we try to develop a proof.