Mechanical arguments
in geometry
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The interactive figures on these
web pages correspond to the figures in the paper "Mechanical arguments
in geometry", written by Alfinio
Flores, published in PRIMUS, 9(3), 241-250.
Abstract
Mechanical arguments are used to
prove results in geometry. The use of concepts like velocity; composition,
resultants, and equilibrium of forces; potential energy; center of gravity;
and moment of force provide alternative and highly intuitive proofs.
The use of this page requires
a Java-compatible web browser
Sample Figure
Instructions
-
Click and drag on red
points to move them.
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Click on buttons (when displayed) inside
the sketch to cause objects to move, or new objects to appear and disappear.
(If a button stays down when you click it, you can click a second time
to release it.)
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When objects are animating or moving,
press '>' to speed up motion or '<' to slow it down.
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Press 'r' on your keyboard to reset
the sketch to its initial configuration.
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If the screen becomes cluttered with traced
objects, click the red 'X'
(when displayed) in the lower-right corner to clear the traces.