Perfect clarity would profit the intellect but damage the will.
—
Blaise Pascal (1623–1662)4.7 Illustration of the Construction of a Point
Conic Using Pascal's Theorem
Perfect clarity would profit the
intellect but damage the will.
—Blaise Pascal (1623–1662)
Drag M to change
the arbitrary line to see the formation of the point conic.
Clear the trace by clicking on the X
in the lower right-hand corner.
Drag the vertices
A, B, C, D, and E
to see different point conics.
It is possible to obtain both hyperbolas and ellipses; try it.
To reset to the original settings, type the letter "R" on the keyboard.
Exploration Problem. First drag M to form a complete point conic. Next, drag M so that F approaches A. What happens when the sixth point F approaches A in the simple hexagon ABCDEF? What appears to be true about the line AK and the point conic? Write your conjecture. (If you did other explorations, you may want to refresh this webpage to return the points to there original position. After doing the problem with the points in the original positions, try it with the points of the simple hexagon in different positions.)
JavaSketchpad,
a World-Wide-Web component of
The Geometer's Sketchpad.
Copyright © 1990-2001 by KCP Technologies, Inc. Licensed only for non-commercial
use.
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© Copyright 2005, 2006 - Timothy Peil |
