32b. Appolonius: Differentials, v2

[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]

 

Ryan Hirst

 
Resource Type
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difference  finite  geometry  nonlinear  plane 
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19+
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English (United States)
 
 
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