Point P lies within acute angle XOY.
How can we find a point A on OX and a point B on OY such that P is the midpoint of a segment AB drawn between them?
A slight variation on Bractals'
Note: since A, P, B are colinear, once you find A you are done.
Construct a perpendicular to XO through P, this line crosses XO at C.
Translate P by the distance CP to P'.
Construct a parallel to XO through P'.
This line hits OY at A.
(I also didn't see a solution quite like this at the other problems Brian Smith linked to.)

Posted by Jer
on 20160618 17:02:59 