Image:Contact triangle.png
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A triangle with incircle, contact triangle and Gergonne point. Released into the public domain by Axel Boldt. Created with GCLC using the following input:
% The three vertices of the triangle point A 15 80 point B 13 30 point C 45 60 % They define three lines line a B C line b A C line c A B % The three internal angle bisectors bis bis_A B A C bis bis_B A B C bis bis_C B C A % The center of the incircle intersec incenter bis_A bis_B % The points where the incircle % touches the triangle. perp dummy_line incenter a intersec T_A dummy_line a perp dummy_line incenter b intersec T_B dummy_line b perp dummy_line incenter c intersec T_C dummy_line c % The incircle circle incircle incenter T_A % Gergonne point line AT_A A T_A line BT_B B T_B intersec G AT_A BT_B % Now draw everything dim 70 100 color 0 200 0 drawsegment A T_A drawsegment B T_B drawsegment C T_C mark_t G color 255 0 0 drawsegment T_A T_B drawsegment T_B T_C drawsegment T_C T_A %Kludge to print indices T_A, T_B and T_C... point P1 1 1 point P2 2 0 printat_rb T_A {T} translate T_A1 P1 P2 T_A printat_rb T_A1 {A} printat_rt T_B {T} translate T_B1 P1 P2 T_B printat_rt T_B1 {B} printat_l T_C {T } translate T_C1 P1 P2 T_C printat_l T_C1 {C } color 0 0 0 drawcircle incircle drawsegment A B drawsegment B C drawsegment C A mark_t A mark_lb B mark_r C
Missing image PD-icon.png Public domain | This image has been released into the public domain by the copyright holder, its copyright has expired, or it is ineligible for copyright. This applies worldwide.
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