Abstract

Associated with certain oriented Jordan arcs is a region which is called the side of the arc. Circles centered on the arc and passing through one of the end points of the arc have an envelope which permits one to find analytically the shape of the side of the arc. A condition, stated geometrically, is imposed on the arcs considered, to insure that the circles have an envelope. An analytic condition is then imposed (Theorem 3) to insure an envelope. As an example a parabola is given.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.