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Jordan showed that the incidence variety of a smooth cubic surface containing27 lines has solvable Galois group over the incidence variety of a smooth cubicsurface containing 3 skew lines. As noted by Harris, it follows that for anysmooth cubic surface, there exist formulas for all 27 lines in terms of any 3skew lines. In response to a question of Farb, we compute these formulasexplicitly. We also discuss how these formulas relate to Schl\"afli's count oflines on real smooth cubic surfaces.

All lines on a smooth cubic surface in terms of three skew lines