document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207912>Question 1207912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a circle of radius 2 is made to roll along the x-axis, what is an equation for the path of the center of the circle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846040 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=846040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "If a circle of radius 2 is made to roll along the x-axis, what is an equation for the path of the center of the circle?<BR>\n" );
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document.write( "Then the center of the circle remains at the constant height over the x-axis,\r\n" );
document.write( "so the equation of the path of the center is\r\n" );
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document.write( "    y = 2,\r\n" );
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document.write( "where \"2\" is the radius of the circle.\r\n" );
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document.write( "Solved, answered and explained.\r<BR>\n" );
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document.write( "<U>Comment from student</U>: It makes sense that the height of the circle does not change <BR>\n" );
document.write( "as it is rolling on the x-axis. Radius r = height of the circle.\r<BR>\n" );
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document.write( "<U>My response</U>: I noticed, &nbsp;that after getting every my solution, &nbsp;you try to re-tell it in your own words -<BR>\n" );
document.write( "and every time your wording is incorrect, distorting the meaning of my words.\r<BR>\n" );
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document.write( "In &nbsp;Math, &nbsp;there is &nbsp;NO &nbsp;such conception &nbsp;\" the height of the circle \".\r<BR>\n" );
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document.write( "So, &nbsp;regarding this problem and my solution, &nbsp;it is nonsensical to use these words.\r<BR>\n" );
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document.write( "In this problem, &nbsp;\"r\" &nbsp;is the height of the <U>center</U> of the circle over &nbsp;x-axis.\r<BR>\n" );
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document.write( "Math is not chewing gum in your mouth.\r<BR>\n" );
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document.write( "It assumes using proper terms and conceptions that are strictly defined, <BR>\n" );
document.write( "every time and in every statement/sentence.\r<BR>\n" );
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document.write( "Hello, &nbsp;personally for you, &nbsp;I make &nbsp;TWO &nbsp;KINDS &nbsp;of work at this forum.\r<BR>\n" );
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document.write( "First, &nbsp;I solve problems for you per your request, &nbsp;showing you the path<BR>\n" );
document.write( "on how to do it.\r<BR>\n" );
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document.write( "Second, &nbsp;I teach you to speak &nbsp;Math &nbsp;<U>properly</U>.\r<BR>\n" );
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document.write( "Therefore, &nbsp;you should not take it as an offence from my side.\r<BR>\n" );
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document.write( "It is the same teaching, &nbsp;but of the other kind.\r<BR>\n" );
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document.write( "Math has several beauties: \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- one beauty is its ideas; \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- the other beauty is its technique, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- and the third beauty is its language.\r<BR>\n" );
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document.write( "All these components are important and each should be perfect.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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