document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=878593>Question 878593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> First post<BR>\n" );
document.write( "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. <BR>\n" );
document.write( "There's ttwo circles and 1 point located in a coordinate system <BR>\n" );
document.write( "For the sake of explaining the problem, let's callthem circle A,B and point C <BR>\n" );
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\r<BR>\n" );
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document.write( "First answer<BR>\n" );
document.write( "Your explanation is confusing, here's what I've got so far.<BR>\n" );
document.write( "You're given two radii: R%5BA%5D and R%5BB%5D, 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(x%5BA%5D,y%5BA%5D), circle A radiusR%5BA%5D, circle B radiusR%5BB%5D, coordinates of C(x%5BC%5D,y%5BC%5D),, and you have to find the maximum distance from the center of circle B to point C within some bounded plane?\r<BR>\n" );
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document.write( "Further explanation :\r<BR>\n" );
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document.write( "Sorry, I actually failed to include what I was actually looking for:\r<BR>\n" );
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document.write( "I'm looking for a point where I can move the center of circle A to(with some requirements).\r<BR>\n" );
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document.write( "further info : <BR>\n" );
document.write( "The location of the center of circle B is set (for example (10,20))<BR>\n" );
document.write( "the radius of circle B is known (for example : 2)<BR>\n" );
document.write( "the radius of circle A is known and always bigger than the radius of circle B (for example : 3)<BR>\n" );
document.write( "the location of point C is known (for example (15,25)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
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document.write( "The requirements : <BR>\n" );
document.write( "- the center of circle B is in the circle drawn by the center and radius of A<BR>\n" );
document.write( "- the center of circle A is NOT in the circle drawn by the center and radius of B<BR>\n" );
document.write( "- I need to move the center of A as far away as possible from point C without breaking the other 2 requirements. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530109 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=530109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-11%2C11%2C-5%2C17%2Cgreen%28circle%28-2%2C8%2C2%2Asqrt%282%29%29%29%2Ccircle%28-2%2C8%2C0.2%29%2Cline%28-2%2C8%2C5%2C15%29%2Cblue%28circle%280%2C10%2C2%29%29%2Ccircle%280%2C10%2C0.2%29%2Ccircle%285%2C15%2C0.2%29%2Clocate%280.5%2C10.5%2CB%29%2Clocate%28-3%2C8%2CA%29%2Clocate%285.9%2C15%2CC%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "OK, I think I get it now.<BR>\n" );
document.write( "The blue circle is circle B.<BR>\n" );
document.write( "The green circle is circle A.<BR>\n" );
document.write( "The dot is C. <BR>\n" );
document.write( "The green circle is located at the maximum distance from C while still capturing the center of circle B along its circumference. <BR>\n" );
document.write( "Once you know the location of C and circle B, you know the direction of the center of circle A because the three points are collinear. <BR>\n" );
document.write( "The maximum distance is then the distance from C to center of B plus the radius of B plus the radius of A.<BR>\n" );
document.write( "You can email me to verify that this is the correct setup and then we can work on a solution.<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
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