The test case used in “Encyclopedis of Triangle Centers” to search for triangle centers.
\(a:b:c=6:9:13\).
\(I\) | Incenter | |
\(P_{\mathbf{7}}\) | First Ajima-Malfatti point | |
\(P^-_{\mathbf{7}}\) | First Malfatti-Rabinowitz point | |
\(P^+_{\mathbf{7}}\) | Gergonne point of the Malfatti triangle | |
\(Q_{\mathbf{7}}\) | Second Malfatti-Rabinowitz point | |
\(I^\prime_{\mathbf{7}}\) | Radical center of the Malfatti circles |
\(\triangle{A}{B}{C}\) | |
\(\triangle{A^\prime_{\mathbf{7}}}{B^\prime_{\mathbf{7}}}{C^\prime_{\mathbf{7}}}\) | |
\(\triangle{A^{\prime\prime}_{\mathbf{7}}}{B^{\prime\prime}_{\mathbf{7}}}{C^{\prime\prime}_{\mathbf{7}}}\) | |
\(\triangle{A^{\prime\prime\prime}_{\mathbf{7}}}{B^{\prime\prime\prime}_{\mathbf{7}}}{C^{\prime\prime\prime}_{\mathbf{7}}}\) | |
\(\triangle{A^*_{\mathbf{7}}}{B^*_{\mathbf{7}}}{C^*_{\mathbf{7}}}\) |