MAKE A MEME
View Large Image
| View Original: | Contact triangle.png (265x372) | |||
| Download: | Original | Medium | Small | Thumb |
| Courtesy of: | commons.wikimedia.org | More Like This | ||
| Keywords: Contact triangle.png math A triangle with incircle contact triangle and Gergonne point Released into the public domain by Axel Boldt Created with GCLC using the following input <pre> 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 </pre> AxelBoldt Incircles of triangles Incenter Joseph Diez Gergonne | ||||
