Proposition: [i]To construct a family of curves of constant diameter.[/i]
I followed Michael Borcherds' partial construction, [url]http://www.geogebratube.org/material/show/id/3597[/url], making corrections along the way. Specifically, I have given precisely the set of curves of constant diameter which can be created using his worksheet.
But the family of curves represented here is still incomplete, and limited to a particular case of the general problem. How might this construction method be generalized?
(more to come!)
