| He worked on geodesy but became interested in conformal map projections where he invented a quincuncial map projection using elliptic functions. |
| He also started work on elliptic curves and, with Baer, on topological fields. |
| Whereas hyperbolic activity and elliptic motion characterizes the cab, a big rig manifests an elliptic activity and hyperbolic motion. |
| He had shown when certain elliptic differentials could be integrated in logarithms but his methods was of little practical use. |
| The third topic to which Eisenstein made a major contribution was the theory of elliptic functions. |
| Hermite made important contributions to number theory and algebra, orthogonal polynomials, and elliptic functions. |
