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	<title>Comments for Mathematics and Multimedia</title>
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	<lastBuildDate>Mon, 21 May 2012 12:05:56 +0000</lastBuildDate>
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		<title>Comment on Proof Tutorial 2: Proving Square Root of 2 is Irrational by Contradiction by Formal Proof of the Infinitude of Primes</title>
		<link>http://mathandmultimedia.com/2010/02/08/proof-by-contradiction/#comment-44986</link>
		<dc:creator>Formal Proof of the Infinitude of Primes</dc:creator>
		<pubDate>Mon, 21 May 2012 12:05:56 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=1578#comment-44986</guid>
		<description>[...] are going to use the proof strategy called proof by contradiction. Our proof is summarized as [...]</description>
		<content:encoded><![CDATA[<p>[...] are going to use the proof strategy called proof by contradiction. Our proof is summarized as [...]</p>
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		<title>Comment on Introduction to Similarity by Using Similarity to Prove the Pythagorean Theorem</title>
		<link>http://mathandmultimedia.com/2010/12/29/introduction-to-similarity/#comment-44956</link>
		<dc:creator>Using Similarity to Prove the Pythagorean Theorem</dc:creator>
		<pubDate>Mon, 21 May 2012 04:39:41 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=6662#comment-44956</guid>
		<description>[...] Using Similarity to Prove the Pythagorean Theorem  Posted on May 21, 2012 by Guillermo Bautista &#124; Leave a comment    var addthis_product = &#039;wpp-264&#039;; var addthis_config = {&quot;data_track_clickback&quot;:true,&quot;data_track_addressbar&quot;:false};if (typeof(addthis_share) == &quot;undefined&quot;){ addthis_share = [];}The Pythagorean Theorem is one of the most interesting theorems for two reasons: First, it&#8217;s very elementary; even high school students know it by heart. Second, it has hundreds of proofs. The proof below uses triangle similarity. [...]</description>
		<content:encoded><![CDATA[<p>[...] Using Similarity to Prove the Pythagorean Theorem  Posted on May 21, 2012 by Guillermo Bautista | Leave a comment    var addthis_product = &#039;wpp-264&#039;; var addthis_config = {&quot;data_track_clickback&quot;:true,&quot;data_track_addressbar&quot;:false};if (typeof(addthis_share) == &quot;undefined&quot;){ addthis_share = [];}The Pythagorean Theorem is one of the most interesting theorems for two reasons: First, it&#8217;s very elementary; even high school students know it by heart. Second, it has hundreds of proofs. The proof below uses triangle similarity. [...]</p>
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		<title>Comment on The Algebraic and Geometric Proofs of Pythagorean Theorem by Using Similarity to Prove the Pythagorean Theorem</title>
		<link>http://mathandmultimedia.com/2010/02/03/pythagorean-theorem/#comment-44938</link>
		<dc:creator>Using Similarity to Prove the Pythagorean Theorem</dc:creator>
		<pubDate>Sun, 20 May 2012 21:01:32 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=1497#comment-44938</guid>
		<description>[...] (typeof(addthis_share) == &quot;undefined&quot;){ addthis_share = [];}The Pythagorean Theorem is one of the most interesting theorems for two reasons: First, it&#8217;s very elementary; even [...]</description>
		<content:encoded><![CDATA[<p>[...] (typeof(addthis_share) == &quot;undefined&quot;){ addthis_share = [];}The Pythagorean Theorem is one of the most interesting theorems for two reasons: First, it&#8217;s very elementary; even [...]</p>
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		<title>Comment on Are all infinities created equal? by jr_bautista</title>
		<link>http://mathandmultimedia.com/2012/05/20/are-all-infinities-created-equal/#comment-44871</link>
		<dc:creator>jr_bautista</dc:creator>
		<pubDate>Sat, 19 May 2012 22:23:48 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=14907#comment-44871</guid>
		<description>Are all infinities created equal?: A one-minute explanation that not all infinities are equal. The video shows t... http://t.co/gTHDQsVJ</description>
		<content:encoded><![CDATA[<p>Are all infinities created equal?: A one-minute explanation that not all infinities are equal. The video shows t&#8230; <a href="http://t.co/gTHDQsVJ" rel="nofollow">http://t.co/gTHDQsVJ</a></p>
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		<title>Comment on Counting the Real Numbers by Are all infinities created equal?</title>
		<link>http://mathandmultimedia.com/2010/08/30/counting-the-real-numbers/#comment-44870</link>
		<dc:creator>Are all infinities created equal?</dc:creator>
		<pubDate>Sat, 19 May 2012 22:23:14 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=5532#comment-44870</guid>
		<description>[...] 4, and so on.  If the video is too fast or too short, you can read a more detailed explanation in  Counting the Real Numbers.         This entry was posted in Set Theory and tagged counting numbers, counting the real [...]</description>
		<content:encoded><![CDATA[<p>[...] 4, and so on.  If the video is too fast or too short, you can read a more detailed explanation in  Counting the Real Numbers.         This entry was posted in Set Theory and tagged counting numbers, counting the real [...]</p>
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		<title>Comment on GeoGebra Tutorial 21 – Spreadsheet and Similarity by GeoGebra 4.0 Tutorials, MTAP 50, and more</title>
		<link>http://mathandmultimedia.com/2010/06/25/spreadsheet-and-similarity/#comment-44809</link>
		<dc:creator>GeoGebra 4.0 Tutorials, MTAP 50, and more</dc:creator>
		<pubDate>Sat, 19 May 2012 07:08:34 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=3855#comment-44809</guid>
		<description>[...] Tutorials to version 4.0: Spreadsheet, Slider, and Curves of Best Fit (Tutorial 20) ; and Spreadsheet and Similarity (Tutorial 21); Spreadsheet, Vectors and Matrices (Tutorial [...]</description>
		<content:encoded><![CDATA[<p>[...] Tutorials to version 4.0: Spreadsheet, Slider, and Curves of Best Fit (Tutorial 20) ; and Spreadsheet and Similarity (Tutorial 21); Spreadsheet, Vectors and Matrices (Tutorial [...]</p>
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		<title>Comment on GeoGebra Tutorial 20 – Spreadsheet, Slider and Curves of Best Fit by Math Teachers at Play 50 and More</title>
		<link>http://mathandmultimedia.com/2010/06/18/curves-of-best-fit/#comment-44808</link>
		<dc:creator>Math Teachers at Play 50 and More</dc:creator>
		<pubDate>Sat, 19 May 2012 07:06:27 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=3737#comment-44808</guid>
		<description>[...] have updated the following GeoGebra Tutorials to version 4.0: Spreadsheet, Slider, and Curves of Best Fit (Tutorial 20) ; and Spreadsheet and Similarity (Tutorial 21); Spreadsheet, Vectors and Matrices [...]</description>
		<content:encoded><![CDATA[<p>[...] have updated the following GeoGebra Tutorials to version 4.0: Spreadsheet, Slider, and Curves of Best Fit (Tutorial 20) ; and Spreadsheet and Similarity (Tutorial 21); Spreadsheet, Vectors and Matrices [...]</p>
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		<title>Comment on Platonic Solids: Why only five of them? by The Marvels of the Platonic Solids</title>
		<link>http://mathandmultimedia.com/2011/05/28/platonic-solids/#comment-44784</link>
		<dc:creator>The Marvels of the Platonic Solids</dc:creator>
		<pubDate>Sat, 19 May 2012 01:12:00 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=9370#comment-44784</guid>
		<description>[...] regular polygons, there are only five Platonic solids, and it can be shown mathematically that no other Platonic solids exist. The Platonic [...]</description>
		<content:encoded><![CDATA[<p>[...] regular polygons, there are only five Platonic solids, and it can be shown mathematically that no other Platonic solids exist. The Platonic [...]</p>
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		<title>Comment on GeoGebra Tutorial 7 &#8211; Sliders and Rotation by Mickey D</title>
		<link>http://mathandmultimedia.com/2010/01/13/geogebra-sliders-tranformation/#comment-44719</link>
		<dc:creator>Mickey D</dc:creator>
		<pubDate>Fri, 18 May 2012 09:47:24 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=1254#comment-44719</guid>
		<description>Whoops - I posted that faster than I meant - all the praise remains, and the angle colour point is irrelevant as it is covered in your original text (now I have read further)!!</description>
		<content:encoded><![CDATA[<p>Whoops &#8211; I posted that faster than I meant &#8211; all the praise remains, and the angle colour point is irrelevant as it is covered in your original text (now I have read further)!!</p>
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		<title>Comment on GeoGebra Tutorial 7 &#8211; Sliders and Rotation by Mickey D</title>
		<link>http://mathandmultimedia.com/2010/01/13/geogebra-sliders-tranformation/#comment-44718</link>
		<dc:creator>Mickey D</dc:creator>
		<pubDate>Fri, 18 May 2012 09:42:47 +0000</pubDate>
		<guid isPermaLink="false">http://mathandmultimedia.com/?p=1254#comment-44718</guid>
		<description>Thanks again.  

When I rotate teh triangles, the red/blue/green colours of the angle indicators are not maintained - i get 3 green ones again.  
Perhaps because of the upgrade to Geogebra 4.
Not a problem - but I thought I&#039;d mention it in case you intend to redo this lesson.
Really enjoying the tutorials - even though for classes i have produced more complex work already, this is a good way to make sure I am learning everything.  Thanks</description>
		<content:encoded><![CDATA[<p>Thanks again.  </p>
<p>When I rotate teh triangles, the red/blue/green colours of the angle indicators are not maintained &#8211; i get 3 green ones again.<br />
Perhaps because of the upgrade to Geogebra 4.<br />
Not a problem &#8211; but I thought I&#8217;d mention it in case you intend to redo this lesson.<br />
Really enjoying the tutorials &#8211; even though for classes i have produced more complex work already, this is a good way to make sure I am learning everything.  Thanks</p>
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