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Topic: Parabola Through 3 Points
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John Olive

Posts: 10
Registered: 12/6/04
Parabola Through 3 Points
Posted: Nov 18, 1992 5:34 PM
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Here's a problem for all you Geometer's Sketchpad enthusiasts:

Is it possible to construct a parabola passing through any three
non-colinear points in a plane? If so, use Euclidean construction
techniques to find the focus and directrix of the parabola.

Will this parabola be unique? (That is, will it be the only parabola
passing through these three points?)

When this Forum has the capability to share Sketchpad files I will send my
solution!







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