Author(s): Tilak de Alwis
In this paper, we will consider envelopes of several types of one parameter
families of curves in the first quadrant with a constant arc length.
One can use
Mathematica to get various information on these envelopes.
We will consider several types of one parameter families of curves in the first
quadrant with a constant arc length.
Each member of the family we are
considering, will have a unique ^-intercept and a ^-intercept.
We assume that
each member of the family has a fixed arc length k between those two
The different types of families under discussion include, families of
straight lines, parabolas, ellipses, and square root functions.
Using Mathematica, one can plot various members of such families, and
obtain parametrizations for their envelopes.
One can also use Mathematica to
obtain certain conjectures about the envelopes.
The reader can...
Size: 564 kb
Paper DOI: 10.2495/IMS970061
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