[b]Proposition:[/b] [i]To draw a circle which is tangent to three given circles.[/i]
This is problem #32 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics[/i].
Improvement of version 1
Features:
-SEEK behavior: hunts for the circumscribing circle, or the circle between the three given circles.
-NUDGE the system
-The system nudges itself when stuck
Parameters:
-attraction
-drag
-masses of the moving points
-impulse size (nudge)
______
[list=1]
[*]Geometric solution: [url]http://www.geogebratube.org/material/show/id/34645[/url]
[*]Differential Solution:
a. Seek model (one circle): [url]http://www.geogebratube.org/material/show/id/34821[/url]
b. Solution, v.1: [url]http://www.geogebratube.org/material/show/id/34855[/url]
[b]→c. Solution v.2, improved[/b]
[/list]
