Problem 4331 (proposed by A. Martin) I. Solution by the Proposer, Mathematical Questions with their Solutions, from the “Educational Times”.
\(a:b:c=231:250:289\).
\(I\) | Incenter | |
\(P_{\mathbf{3}}\) | First Ajima-Malfatti point | |
\(P^-_{\mathbf{3}}\) | First Malfatti-Rabinowitz point | |
\(P^+_{\mathbf{3}}\) | Gergonne point of the Malfatti triangle | |
\(Q_{\mathbf{3}}\) | Second Malfatti-Rabinowitz point | |
\(I^\prime_{\mathbf{3}}\) | Radical center of the Malfatti circles |
\(\triangle{A}{B}{C}\) | |
\(\triangle{A^\prime_{\mathbf{3}}}{B^\prime_{\mathbf{3}}}{C^\prime_{\mathbf{3}}}\) | |
\(\triangle{A^{\prime\prime}_{\mathbf{3}}}{B^{\prime\prime}_{\mathbf{3}}}{C^{\prime\prime}_{\mathbf{3}}}\) | |
\(\triangle{A^{\prime\prime\prime}_{\mathbf{3}}}{B^{\prime\prime\prime}_{\mathbf{3}}}{C^{\prime\prime\prime}_{\mathbf{3}}}\) | |
\(\triangle{A^*_{\mathbf{3}}}{B^*_{\mathbf{3}}}{C^*_{\mathbf{3}}}\) |