C(UV) denotes the circle with diameter UV.
T(P,QR) denotes the tangential distance PS,
where point P lies outside C(QR), point S
lies on C(QR), and PS is tangent to C(QR).
Let A, B, C, and D be distinct, collinear
points in that order.
Construct a point E on line AD such that
EF = T(E,AB) = T(E,CD) = EG
(In reply to
re: Construction by Charlie)
I have redrawn the diagram several times in ACAD with circles of various radii and the BC length also varying.
In some cases the angles at F and G appear to right angles. When measured in fact I found cases where the angle was less than 90º
but in others it was actually greater.
Looked good too!

Posted by brianjn
on 20101004 21:13:39 