The test case used in “Encyclopedis of Triangle Centers” to search for triangle centers.
\(a:b:c=6:9:13\).
\(I_{\mathbf{c}}\) | Incenter | |
\(P_{\mathbf{3c}}\) | First Ajima-Malfatti point | |
\(P^-_{\mathbf{3c}}\) | First Malfatti-Rabinowitz point | |
\(P^+_{\mathbf{3c}}\) | Gergonne point of the Malfatti triangle | |
\(Q_{\mathbf{3c}}\) | Second Malfatti-Rabinowitz point | |
\(I^\prime_{\mathbf{3c}}\) | Radical center of the Malfatti circles |
\(\triangle{A}{B}{C}\) | |
\(\triangle{A^\prime_{\mathbf{3c}}}{B^\prime_{\mathbf{3c}}}{C^\prime_{\mathbf{3c}}}\) | |
\(\triangle{A^{\prime\prime}_{\mathbf{3c}}}{B^{\prime\prime}_{\mathbf{3c}}}{C^{\prime\prime}_{\mathbf{3c}}}\) | |
\(\triangle{A^{\prime\prime\prime}_{\mathbf{3c}}}{B^{\prime\prime\prime}_{\mathbf{3c}}}{C^{\prime\prime\prime}_{\mathbf{3c}}}\) | |
\(\triangle{A^*_{\mathbf{3c}}}{B^*_{\mathbf{3c}}}{C^*_{\mathbf{3c}}}\) |