Simson's Theorem
Draw a triangleABC and its circumscribed
circle. Take a point P on the circumscribed
circle and draw the perpendiculars to the
triangle's sides. Connect their landing points
D,E,F. Then these points lie on a straight
line.
Let's Drag a point P on the circleDYou can
find the locus of the line DEFDWhat's an
envelope of the lines?
œThe effect of Traceiusing controller as
below)
Select Choice of trace ¨ Select line DEF
with mouse ¨ Select Animation spring ¨
Drag P on circleiappear spring!jD
And then Double Click.
Controller
| © | Backward step | ¨ | Forward step | { | Figure drag | ž | Choice of trace | å | Animation spring | Downloard of figure |
with Cabri Java