 Viète’s program of geometrical problem-solving had an added significance: By adopting as his postulate that the neusis problem could be solved, Viète was able to link geometrical construction with his algebraic analysis of geometrical problems and show that cubic equations had a genuinely geometrical solution (i.e., that the roots of cubic equations could be constructed by consideration of intersecting geometrical curves). Viète’s program nicely illustrates the merging of algebra with geometrical problem-solving in early modern mathematics, and moreover, nicely illustrates an influential way of interpreting Pappus’s claims in the Collection regarding how a mathematician should apply the methods of analysis and synthesis in geometrical problem-solving.