Comments on: Algebraic Manipulation Is Overrated http://samjshah.com/2008/05/15/algebraic-manipulation-is-overrated/ Tue, 15 May 2012 22:49:27 +0000 hourly 1 http://wordpress.com/ By: Pierre Charland http://samjshah.com/2008/05/15/algebraic-manipulation-is-overrated/#comment-357 Sat, 23 Aug 2008 16:32:15 +0000 http://samjshah.wordpress.com/?p=181#comment-357 Yes, the animation at
http://blog.mathsage.com/?p=202
shows well was is going on.
The straight line segment trace by the terminal point is a hypocycloid, corresponding to the case of a circle of radius 1/2 rolling without slipping inside a circle of radius 1.
See the case a/b=2 at
http://mathworld.wolfram.com/Hypocycloid.html
http://mathworld.wolfram.com/TusiCouple.html

]]> By: samjshah http://samjshah.com/2008/05/15/algebraic-manipulation-is-overrated/#comment-327 Sun, 17 Aug 2008 23:50:11 +0000 http://samjshah.wordpress.com/?p=181#comment-327 Hi Pierre,

Actually Mr. K at MathStories created a great visualization for this problem. For some reason, at this moment, I can’t access the page, but it’s here: http://blog.mathsage.com/?p=202

Best,
Sam

]]> By: Pierre Charland http://samjshah.com/2008/05/15/algebraic-manipulation-is-overrated/#comment-321 Sun, 17 Aug 2008 16:57:11 +0000 http://samjshah.wordpress.com/?p=181#comment-321 Is there an animation of this?
(I remember seeing one before…)

]]> By: D. Eppstein http://samjshah.com/2008/05/15/algebraic-manipulation-is-overrated/#comment-109 Sat, 17 May 2008 21:55:07 +0000 http://samjshah.wordpress.com/?p=181#comment-109 Mr. K’s solution is different from mine, in which (sin x + sin x+a)/2 and (cos x – cos x+a) are the height and base length (respectively) of a family of similar isosceles triangles with apex angle a: http://11011110.livejournal.com/139750.html
(in the diagram in that post, let AD be a horizontal line, and let B and C be points on the unit circle at angles x and x+a from horizontal).

]]> By: Walking Randomly » Carnival of Mathematics #33 - The rushed edition! http://samjshah.com/2008/05/15/algebraic-manipulation-is-overrated/#comment-104 Fri, 16 May 2008 17:40:33 +0000 http://samjshah.wordpress.com/?p=181#comment-104 [...] Shah thinks that algebraic manipulation is overrated – head over to his blog to see why. In another post, Sam also writes about some interesting [...]

]]> By: Math Stories : Spinny!!! http://samjshah.com/2008/05/15/algebraic-manipulation-is-overrated/#comment-95 Thu, 15 May 2008 04:49:24 +0000 http://samjshah.wordpress.com/?p=181#comment-95 [...] Sam asked about this problem: [...]

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