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MOTIVATING
GEOMETRY THROUGH
COMPUTATION AND
VISUALIZATION
funded by NSF-CCLI grant DUE-0126687 |
Principal Investigator
David L. Finn
Associate Professor of Mathematics
Rose-Hulman Institute of Technology |
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Finn's Page |
CCLI Info |
Applets |
Materials |
Course Notes |
Publications
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EXERCISES to EXPLORE with this APPLET
In this applet, you can create biarcs, and piecewise circular curves through
the use of biarcs. Each biarc is created by specifying two points
and tangent lines. The point of tangency is created as the first
point and the second point then defines the tangent line. Additional
tangent lines are constructed similarly.
- Create a biarc. Visualize the triangle determined by the two
points of tangency and the intersection of the tangent lines.
Does the biarc always lie within this triangle? Determine heurestic
conditions under which the biarc will lie withing this triangle.
- Create a biarc. Does the biarc always lie on one side of its
prescribed tangent lines? Determine heurestic conditions under
which the biarc will lie on one side of its prescribed tangent
lines.
- How do you create a smooth closed piecewise circular curve
through the use of biarcs?
- How do you create a circle using biarcs?
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