• Home
• Register an Account
• New Title Information Alerts
• Contact Us
• Overview of the Wessex Institute of Technology

Adobe PDF Reader is required to view our papers:

Families of plane curves with a constant arc length

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... Pages: 8 Size: 564 kb Paper DOI: 10.2495/IMS970061

Download the Full Article Price: US$ 0.00 This article is part of the WIT OpenView scheme and you can download the full text Adobe PDF article for FREE by clicking the 'Openview' icon below. Send this page to a colleague. This paper can be found in the following book Innovation in Mathematics Buy Book from Witpress.com

---

Download the Full Article This article is part of the WIT OpenView scheme and you can download the full text Adobe PDF article for FREE by clicking the 'Openview' icon to the right.