User bob palais - MathOverflowmost recent 30 from http://mathoverflow.net2013-05-24T20:52:24Zhttp://mathoverflow.net/feeds/user/12786http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/8846/proofs-without-words/54601#54601Answer by Bob Palais for Proofs without wordsBob Palais2011-02-07T04:01:50Z2011-02-07T04:01:50Z<p>Here are some dynamic versions:</p>
<p><a href="http://www.math.utah.edu/~palais/sums.html" rel="nofollow">http://www.math.utah.edu/~palais/sums.html</a>
(two of the summation formulas mentioned above)</p>
<p>Several belt, plate, and tangle trick animations:</p>
<p><a href="http://www.math.utah.edu/~palais/links.html" rel="nofollow">http://www.math.utah.edu/~palais/links.html</a></p>
<p>A visual derivation of complex multiplication:</p>
<p><a href="http://www.math.utah.edu/~palais/newrot.swf" rel="nofollow">http://www.math.utah.edu/~palais/newrot.swf</a></p>
<p>Pythagoras in the Isosceles case, based on the Yale tablet:</p>
<p><a href="http://www.math.utah.edu/~palais/PythagorasIsosceles.html" rel="nofollow">http://www.math.utah.edu/~palais/PythagorasIsosceles.html</a></p>
<p>and the general case:</p>
<p><a href="http://www.math.utah.edu/~palais/Pythagoras.html" rel="nofollow">http://www.math.utah.edu/~palais/Pythagoras.html</a></p>
http://mathoverflow.net/questions/8846/proofs-without-words/54601#54601Comment by Bob PalaisBob Palais2011-02-07T04:04:45Z2011-02-07T04:04:45ZThere is an animation of the Dandelin Spheres construction depicted above in 3d-XplorMath in anaglyph 3d.
<a href="http://3d-xplormath.org/" rel="nofollow">3d-xplormath.org</a>
Not really a proof, but visual descriptions of the relationship of
cosine and sine curves and uniform circular motion:
<a href="http://www.math.utah.edu/~palais/cose.html" rel="nofollow">math.utah.edu/~palais/cose.html</a>
<a href="http://www.math.utah.edu/~palais/sine.html" rel="nofollow">math.utah.edu/~palais/sine.html</a>
and epicycloids:
<a href="http://www.math.utah.edu/~palais/daledots.swf" rel="nofollow">math.utah.edu/~palais/daledots.swf</a>