The first mention of the problem that would later become known as Pappus’s problem can be found in the introduction to the Conica (I, 1) by Apollonius. There he writes that Euclid had insufficiently worked out the problem of the locus in the case of three or four lines and that the results of Euclid were not even that good. Apollonius refers to the work of Euclid on conics, which is now lost. He attributes the shortcomings of Euclid to the unavailability of two relevant fundamental theorems that Apollonius himself found and proved. We will see further on which theorems these are.

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Grootendorst, A.W, Aarts, J, Bakker, M, & Erné, R. (2010). Appendix. In Jan de Witt’s Elementa Curvarum Linearum (pp. 293–308). doi:10.1007/978-0-85729-142-4_5