According to Eneström, the goal is "to find a relation between z and q, so that the integral of q dz is algebraic and the intergral of the square root of q2–1 over z dz is an arc-function."
Original Source Citation
Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 3, pp. 47-56.
Opera Omnia Citation
Series 1, Volume 23, pp.195-207.