WIT Press

Families Of Plane Curves With A Constant Arc Length

Price

Free (open access)

Paper DOI

10.2495/IMS970061

Pages

8

Published

1997

Size

564 kb

Author(s)

Tilak de Alwis

Abstract

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. 1 Introduction 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 intercepts. 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

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