In Bailey, Borwein, and Borwein's paper [8] an overview of a method is given for constructing series and algorithms for finding rapid approximations for . Although Ramanujan did not know these algorithms many of the key ingredients are in his notebooks [13]. The algorithms depend crucially on the solvable forms of certain modular equations for the theta-functions due to Ramanujan. In [8] two algorithms are given -- one quartic and one quintic algorithm. In a related paper [5] a septic algorithm is sketched. In [4] a general method is given for constructing