© Copyright 2005, 2006 - Timothy Peil
4.5 Construction of the Harmonic Conjugate
of C
With Respect to A and B
Go down deep enough into anything and you
will find mathematics.
—Dean Schlicter
Type the action buttons in order to illustrate the steps of the
constructive proof of Theorem 4.6. If A, B, and C are three
distinct collinear points, then a harmonic conjugate of C with respect to A and B exists.
To
reset to the original settings, type the letter "R" on the keyboard.
To investigate further, drag points E and
P to various locations
To change the harmonic set, drag points A,
B, and C.
To
reset to the original settings, type the letter "R" on the keyboard.
What happens when E and P are moved?
Does the quadrangle remain the same?
Does the fourth point, D, of the harmonic set remain in the same position?
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 |