All, Gave my talk today at Humboldt State University Mathematics Colloquium Series. Slides are available: http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/slides.pd... Notes are available: http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/slidesNot es.pdf Sketchpad files are available: http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/simpleCyc loid.gsp http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/doubleCyc loid.gsp http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/envelopeC ycloid.gsp http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/evoluteCy cloid.gsp http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/robervalC ycloid.gsp http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/symmetryR oberval.gsp http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/involuteC ycloid.gsp Source code available: http://online.redwoods.edu/instruct/darnold/HSUColloquium/multcalc/hsu.zip You're all welcome to use them in any way you wish. Thanks to all of those who answered my questions while I was working on this.