On the Construction of Constrained Circles, an Unified Approach

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


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.




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  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

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