Kaleidoscope
Make the following static figures "move".
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| Construct an animation
showing a rod of fixed length slides with its ends upon two fixed
perpendicular lines. What is the envelope formed by the rod? Find the point of tangency. Find the locus of a point carried by the rod. (A ladder standing on a smooth floor against a wall slides down. Along what curve does a cat sitting on the ladder move?) A wooden triangle moves on a plane so that two vertices move along two fixed perpenducluar lines. How does the third vertex move? Generalized the situation to two fixed lines not necessarily perpendicular to each other. |
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Construct an animation displaying a triangle whose vertices travel along three concentric ellipses.
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