dim 120 120 point B 20 40 point C 110 40 point M_{c} 50 67.5 color 220 0 0 fontsize 11 cmark_b B cmark_b C cmark_lt M_{c} color 0 0 0 fontsize 10 % Constructing a point A such that BA/BM_{c}=2 towards A B M_{c} 2 cmark_t A color 200 200 200 drawsegment B A color 0 0 0 drawsegment A B drawsegment A C drawsegment B C % Non-degenerate conditions: % Determination conditions: