User bob palais - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T20:52:24Z http://mathoverflow.net/feeds/user/12786 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/8846/proofs-without-words/54601#54601 Answer by Bob Palais for Proofs without words Bob Palais 2011-02-07T04:01:50Z 2011-02-07T04:01:50Z <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#54601 Comment by Bob Palais Bob Palais 2011-02-07T04:04:45Z 2011-02-07T04:04:45Z There 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>