Say is at 1, is at 0 ( ) and we want to be at . (hence we want to be ) Using the intercept theorem we get . If and then !
To construct , one can proceed as follows :
- Draw segment line with .
- Draw segment line perpendicular to the x-axis and such that
- Draw segment line .
- Draw straight line perpendicular to the y-axis which passes through the point . Let be the intersection of this straight line with .
- Draw straight line perpendicular to and passing through F.
- G is the intersection of with the x-axis.