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Euclid · Fragments §7.1

Pappus' Testimony on the Surface Loci in Two Books

Passage 21 of 29 · Greek

Summary

A citation from Pappus' Collection Book VII mentioning Euclid's lost geometrical work Surface Loci in two books, accompanied by references to modern scholarly literature.

§7.17.
7.
Pappus Συναγ. VII 3 p. 636, 23 (inter opera ad τόπον ἀναλυόμενον pertinentia loco undecimo, cfr. fr. 5): Κὐκλείδου Τόπων πρὸς 1) ἐπιφανείᾳ δύο.
Pappus, Collection VII 3 p. 636, 23 (among the works belonging to the Treasury of Analysis, in the eleventh place, cf. fr. 5): Euclid's Surface 1) Loci, two books.
cfr.
Cf.
Studien über Euklid p. 79 sqq. , Zeuthen Die Lehre von den Κegelschnitten in Altertum p. 423 sqq.
Studien über Euklid p. 79 sqq., Zeuthen, Die Lehre von den Kegelschnitten im Altertum p. 423 sqq.

Notes

  1. 7.1Τόπων πρὸς ἐπιφανείᾳ — Meaning 'loci on a surface' (Surface Loci). The preposition πρός here governs the dative ἐπιφανείᾳ to express the relationship of being 'on' or 'with respect to' a surface.
  2. 7.1τόπον ἀναλυόμενον — Refers to the 'Treasury of Analysis' (ἀναλυόμενος τόπος in Greek), a standard collection of advanced geometrical treatises in ancient Greek mathematics used for solving complex problems through analysis and synthesis.

Cite this passage

Euclid, Fragments §7.1. Humanitext Reader, https://reader.humanitext.ai/en/text/urn:cts:greekLit:tlg1799.tlg016.humanitext-grc1:7.1

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