document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=878585>Question 878585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, for my artificial intelligence I'm programming I need to figure out a location thats called by a math formula I just can't find.<BR>\n" );
document.write( "I realise this is something hard to ask and I hope someone can solve it since even my math tutor can't.\r<BR>\n" );
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document.write( "There's ttwo circles and 1 point located in a coordinate system\r<BR>\n" );
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document.write( "For the sake of explaining the problem, let's callthem circle A,B and  point C\r<BR>\n" );
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document.write( "We can assume that:<BR>\n" );
document.write( "-circle A's radius is always bigger than B<BR>\n" );
document.write( "-there will never be 2 of the points at the exact same location<BR>\n" );
document.write( "-the radius for A and B are variables<BR>\n" );
document.write( "Now I need to calculate the point where A has to placed so that:<BR>\n" );
document.write( "- the middle of circle B is in the circle of A<BR>\n" );
document.write( "- the middle of circle A is NOT in the circle of B<BR>\n" );
document.write( "- I need the point that's as far away as possible from point C </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530099 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=530099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your explanation is confusing, here's what I've got so far.<BR>\n" );
document.write( "You're given two radii: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BA%5D ALIGN=MIDDLE  ALT=\"R%5BA%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BB%5D ALIGN=MIDDLE  ALT=\"R%5BB%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which can be variables.<BR>\n" );
document.write( "Circles A and B cannot overlap. I think that's what you mean by \"middle\".<BR>\n" );
document.write( "I'm guessing you're given the location of circle A's center. <BR>\n" );
document.write( "Then you have to calculate a possible location for circle B's center. <BR>\n" );
document.write( "That's straightforward. You can find a zone to place circle B's center so that it doesn't overlap circle A. <BR>\n" );
document.write( "Now what is the relationship between point C and the centers of the two circles. Does the center of B have to be the maximum distance from point C?<BR>\n" );
document.write( "So you're given the coordinates of circle A center(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5BA%5D ALIGN=MIDDLE  ALT=\"x%5BA%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5BA%5D ALIGN=MIDDLE  ALT=\"y%5BA%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >), circle A radius<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BA%5D ALIGN=MIDDLE  ALT=\"R%5BA%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, circle B radius<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BB%5D ALIGN=MIDDLE  ALT=\"R%5BB%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, coordinates of C(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5BC%5D ALIGN=MIDDLE  ALT=\"x%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5BC%5D ALIGN=MIDDLE  ALT=\"y%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >),, and you have to find the maximum distance from the center of circle B to point C within some bounded plane? </SPAN>\n" );
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