Advertisement

On the Construction of Constrained Circles, an Unified Approach

  • P. J. Zsombor-Murray
  • K. Linder
Conference paper

Abstract

A method to find a circle, c(x,y,r), discriminates among up to eight possible solutions. Given a sufficient set of radius, centre line(s) and/or tangent line(s) the solution is the point of intersection among three planes. Including tangent circle(s) it is a piercing point of the line of two planes with a cone.

Keywords

Tangent Line Descriptive Geometry Conical Surface Spur Gear Gear Train 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Freund, D.O., “An Interactive Procedure for Constructing Line and Circle Tangencies”, IEEE Compo Graph. & Appl., v.6, n.4, 86–4, pp.59–63.Google Scholar
  2. [2]
    Chasen, S.H., “Geometric Principles and Procedures for Computer Graphic Applications”, Prentice-Hall, ISBN 0-13-352559-7, 1978, pp.50–103, pp.195–221.Google Scholar
  3. [3]
    Slaby, S.M., “Fundamentals of Three-Dimensional Descriptive Geometry”, John Wiley, ISBN 0–471-79621–2, 1976, pp.l07–115, pp.l04–107, pp.163–165.Google Scholar
  4. [4]
    Hart W.L., “Algebra, Elementary Functions and Probability”, D.C Heath, LCCC 65–12574, 1965, pp.171–176.MATHGoogle Scholar
  5. [5]
    Webster, R., “PRODESIGN II (The Easy to Use CAD System)”, American Small Business Computers, 118 South Mill St., Pryor OK 74361, c1985, 1986.Google Scholar
  6. [6]
    Lindgren, C.E.S. and Slaby, S.M., “Four-Dimensional Descriptive Geometry”, McGrawHill, LCCC68–11931,1968,129pp.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • P. J. Zsombor-Murray
    • 1
  • K. Linder
    • 1
  1. 1.Canada

Personalised recommendations