Epsilon=One
08-11-2005, 01:58 AM
All circles in the below image are tangent to one another.
Integer values can be generated for the curvature of all tangent circles when "A" is any negative Natural integer (http://www.physicsmathforums.com/showthread.php?t=100).
What is the algebraic relationshp of the curvatures of circles "B" through "G" to the curvature of circle "A" such that circles "B" through "G" have curvatures that are Natural integers (http://www.physicsmathforums.com/showthread.php?t=100) and the curvature of circle "A" is a negatuve Natural integer (http://www.physicsmathforums.com/showthread.php?t=100)?
http://www.2-CQ.com/PT/TiniCirs/pulsl.gif
Integer values can be generated for the curvature of all tangent circles when "A" is any negative Natural integer (http://www.physicsmathforums.com/showthread.php?t=100).
What is the algebraic relationshp of the curvatures of circles "B" through "G" to the curvature of circle "A" such that circles "B" through "G" have curvatures that are Natural integers (http://www.physicsmathforums.com/showthread.php?t=100) and the curvature of circle "A" is a negatuve Natural integer (http://www.physicsmathforums.com/showthread.php?t=100)?
http://www.2-CQ.com/PT/TiniCirs/pulsl.gif