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Sep 1st, 2013
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  1. x = -((y_B-y_A)*sqrt(-y_B^4+4*y_A*y_B^3+(-6*y_A^2-2*x_B^2+4*x_A*x_B-2*x_A^2+16*r^2)*y_B^2+(4*y_A^3+(4*x_B^2-8*x_A*x_B+4*x_A^2-32*r^2)*y_A)*y_B-
  2. y_A^4+(-2*x_B^2+4*x_A*x_B-2*x_A^2+16*r^2)*y_A^2-x_B^4+4*x_A*x_B^3+(16*r^2-6*x_A^2)*x_B^2+(4*x_A^3-32*r^2*x_A)*x_B-x_A^4+16*r^2*x_A^2)+(-x_B-x_A)*y_B^2+
  3. (2*x_B+2*x_A)*y_A*y_B+(-x_B-x_A)*y_A^2-x_B^3+x_A*x_B^2+x_A^2*x_B-x_A^3)/(2*y_B^2-4*y_A*y_B+2*y_A^2+2*x_B^2-4*x_A*x_B+2*x_A^2)
  4.  
  5. AND:
  6.  
  7. y = ((x_B-x_A)*
  8. sqrt(-y_B^2+2*y_A*y_B-y_A^2-x_B^2+2*x_A*x_B-x_A^2+16*r^2)*sqrt(y_B^2-2*y_A*y_B+y_A^2+x_B^2-2*x_A*x_B+x_A^2)+y_B^3-y_A*y_B^2+(-y_A^2+x_B^2-2*x_A*x_B+x_A^2)*y_B+
  9. y_A^3+(x_B^2-2*x_A*x_B+x_A^2)*y_A)/(2*y_B^2-4*y_A*y_B+2*y_A^2+2*x_B^2-4*x_A*x_B+2*x_A^2)
  10.  
  11. ============ OR: ===============
  12.  
  13. x = ((y_B-y_A)*sqrt(-y_B^4+4*y_A*y_B^3+
  14. (-6*y_A^2-2*x_B^2+4*x_A*x_B-2*x_A^2+16*r^2)*y_B^2+(4*y_A^3+(4*x_B^2-8*x_A*x_B+4*x_A^2-32*r^2)*y_A)*y_B-y_A^4+(-2*x_B^2+4*x_A*x_B-2*x_A^2+16*r^2)*y_A^2-x_B^4+
  15. 4*x_A*x_B^3+(16*r^2-6*x_A^2)*x_B^2+(4*x_A^3-32*r^2*x_A)*x_B-x_A^4+16*r^2*x_A^2)+(x_B+x_A)*y_B^2+(-2*x_B-2*x_A)*y_A*y_B+(x_B+x_A)*y_A^2+x_B^3-x_A*x_B^2-x_A^2
  16. *x_B+x_A^3)/(2*y_B^2-4*y_A*y_B+2*y_A^2+2*x_B^2-4*x_A*x_B+2*x_A^2)
  17.  
  18. AND:
  19.  
  20. y = -((x_B-x_A)*sqrt(-y_B^2+2*y_A*y_B-y_A^2-x_B^2+2*x_A*x_B-x_A^2+16*r^2)*
  21. sqrt(y_B^2-2*y_A*y_B+y_A^2+x_B^2-2*x_A*x_B+x_A^2)-y_B^3+y_A*y_B^2+(y_A^2-x_B^2+2*x_A*x_B-x_A^2)*y_B-y_A^3+(-x_B^2+2*x_A*x_B-x_A^2)*y_A)/(2*y_B^2-4*y_A*y_B
  22. +2*y_A^2+2*x_B^2-4*x_A*x_B+2*x_A^2)
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