Please help. I am homeschooled and i don't understand how to find loci. Can you help me sketch and ddescribe all points in a plane that are equidistant from the vertices of triangle ABC?
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document.write( "It is not a locus, it is but one point.\r\n" );
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document.write( "There is but one point which is equidistant from the three vertices of a\r\n" );
document.write( "triangle, and that point is called the circumcenter. Here is a \r\n" );
document.write( "demonstration of the circumcenter.\r\n" );
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document.write( "We start with this triangle:\r\n" );
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document.write( "I claim that the point marked O is the one and only\r\n" );
document.write( "point which is equally distance from the three vertices:\r\n" );
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document.write( "And if we draw a circle with the circumcenter as the center, going\r\n" );
document.write( "through any one of the vertices, it will go through all three vertices:\r\n" );
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document.write( "The line segments drawn from it to the three vertices,\r\n" );
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document.write( "are all equal in length because they are radii of the same circle.\r\n" );
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document.write( "Want to see how to construct the circumcenter of a triangle?\r\n" );
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document.write( "Go here:\r\n" );
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document.write( "http://www.mathopenref.com/constcircumcenter.html\r\n" );
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document.write( "Edwin
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