\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2010b.00476}
\itemau{Persson, Ulf}
\itemti{Triangles with given inscribed and circumscribed circles. (Trianglar med givna omskrivna och inskrivna cirklar.)}
\itemso{Normat. 57, No. 3, 129-140 (2009).}
\itemab
Summary: This is a second article [for a review of the first one see ibid. 57, No. 1, 10--21 (2009; Zbl 1188.51007; ME 2009f.00485)] in a series of three, concerning 1-dimensional families of triangles. In this case those with given circumscribed and inscribed radii $R,r$ are presented. The construction of such families is a special case of Poncelet's theorem, exploiting the approach via elliptic curves, initiated by Jacobi.
\itemrv{~}
\itemcc{G90 G50 G70}
\itemut{Poncelet's theorem; elliptic curves; geometric group structures}
\itemli{}
\end