Parallel curve: Difference between revisions

Revision as of 16:08, 5 October 2022

Revision as of 18:38, 5 October 2022

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:<math> y_d(t)= y(t)-\frac{d\; x'(t)}{\sqrt {x'(t)^2+y'(t)^2}} \ .</math>

The dstancedistance parameter <math>d</math> may be negative, too. In this case, one gets a parallel curve on the opposite side of the curve (see diagram on the parallel curves of a circle). One can easily check: that a parallel curve of a line is a parallel line in the common sense, and the parallel curve of a circle is a concentric circle.

===Geometric properties:<ref name="hart30">E. Hartmann: [http://www.mathematik.tu-darmstadt.de/~ehartmann/cdgen0104.pdf ''Geometry and Algorithms for COMPUTER AIDED DESIGN.''] S. 30.</ref>===