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      <title>circumcenter of a triangle construction  by Jake Welcome</title>
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      <language>en-us</language>
      <pubDate>2017-01-25 01:42:19 UTC</pubDate>
      <lastBuildDate>2017-01-25 02:03:35 UTC</lastBuildDate>
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         <title>definition </title>
         <author>jakewelcome9</author>
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         <description><![CDATA[<div>We start with a triangle ABC. | <figure class="attachment attachment-preview"><img src="http://www.mathopenref.com/images/constructions/constcircumcenter/step0.png" width="272" height="178"><figcaption class="caption"></figcaption></figure><br><strong>1.  </strong>Find the <a href="http://www.mathopenref.com/bisectorline.html">bisector</a> of one of the triangle sides. Any one will do.See <a href="http://www.mathopenref.com/constbisectline.html">Constructing the Perpendicular Bisector of a Line Segment</a> for detailed instructions. | <figure class="attachment attachment-preview"><img src="http://www.mathopenref.com/images/constructions/constcircumcenter/step1.png" width="301" height="190"><figcaption class="caption"></figcaption></figure><br><strong>2.  </strong>Repeat for the another side. Any one will do. | <figure class="attachment attachment-preview"><img src="http://www.mathopenref.com/images/constructions/constcircumcenter/step2.png" width="326" height="192"><figcaption class="caption"></figcaption></figure><br><strong>3.  </strong>Mark the point where these two perpendiculars intersect as point O. | <figure class="attachment attachment-preview"><img src="http://www.mathopenref.com/images/constructions/constcircumcenter/step3.png" width="285" height="184"><figcaption class="caption"></figcaption></figure><br>(Optional step) Repeat for the third side. This will convince you that the three bisectors do, in fact, intersect at a single point. But two are enough to find that point.<br><strong>Done  </strong> The point O is the circumcenter of the triangle ABC.<strong><em>Note:</em></strong> This point may be outside the triangle. This is normal. | <figure class="attachment attachment-preview"><img src="http://www.mathopenref.com/images/constructions/constcircumcenter/step3.png" width="285" height="184"><figcaption class="caption"></figcaption></figure></div><div><br></div>]]></description>
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         <pubDate>2017-01-25 01:54:47 UTC</pubDate>
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         <title>video</title>
         <author>jakewelcome9</author>
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         <description><![CDATA[<div><a href="http://www.mathopenref.com/constcircumcenter.html">http://www.mathopenref.com/constcircumcenter.html</a></div>]]></description>
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         <pubDate>2017-01-25 01:58:16 UTC</pubDate>
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         <author>jakewelcome9</author>
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         <description><![CDATA[<div><figure class="attachment attachment-preview"><img src="http://www.mathopenref.com/images/constructions/constcircumcenter/step3.png" width="285" height="184"><figcaption class="caption"></figcaption></figure></div>]]></description>
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         <pubDate>2017-01-25 01:59:07 UTC</pubDate>
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         <title>example</title>
         <author>jakewelcome9</author>
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         <description><![CDATA[<div><figure class="attachment attachment-preview"><img src="http://jwilson.coe.uga.edu/EMAT6680Fa05/Evans/Assignment%204/Assignment%204_files/image004.gif" width="502" height="361"><figcaption class="caption"></figcaption></figure></div>]]></description>
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         <pubDate>2017-01-25 02:01:02 UTC</pubDate>
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