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
Finn's Page | CCLI Info | Applets | Materials | Course Notes | Publications

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?