
Re: Three points on incircle
Posted:
Apr 30, 2014 2:10 PM


> > The next problem is as follows: > > Let A=[1,1], B=[1,1]. Construct points D, E, F on > the unit circle, such that line DE is parallel to the > yaxis, and triples {B,E,F], {A,F,D} are collinear > respectively. > Hi Avni,
Construct the unit circle and points A and B Construct P(2/5,1/5) with OP=1/sqrt(5) Circle centre O, radius OP meets ox in Q(1/sqrt(5),0) Vertical thru Q meets unit circle at D and E, with y = + 2/sqrt(5) Line AD meets unit circle at F(sqrt(5)/3,2/3) B,E,F are collinear.
Regards, Peter Scales.

