Refutation of All Heresies 4.14.10
Authorship disputed: The work names no author. Book 1 was long printed among Origen's works as the Philosophumena; after books 4–10 were found in a manuscript from Mount Athos (published 1851), it was assigned to Hippolytus, the usual view today, though some scholars ascribe it to another Roman writer of the same circle. Books 2 and 3 are lost, and book 4 lacks its beginning.
Summary: When the sum divides exactly, the divisor itself is taken as the root.
Greek text · Duncker–Schneidewin, 76
Εἰ δὲ ἔσται (??), τὸ ἕβδομον λέγει (??), ἑπτάκις γὰρ ἓξ (??), καὶ λοιπὸν ἔν. Μονὰς οὖν γίνεται ὁ πυθμὴν ὁ ἀπὸ τῶν (??) κατὰ τὸν ἑβδοματικόν. Δεῖ δὲ προσέχειν ἐὰν ὁ ληφθεὶς ἀριθμὸς μεριζόμενος ἀπαρτίσῃ, οἷον ἐὰν ἔκ τινος ὀνόματος συντιθεὶς τοὺς πυθμένας εὕρω λόγου χάριν μονάδας (??)· ὁ δὲ (??) μεριζόμενος εἰς τὸν ἐννέα (??) ἀπαρτίζει ἐννεάδας (ἐννάκις γὰρ (??) (??), καὶ οὐδὲν περιλείπεται)· τὸν πυθμένα οὖν αὐτὸν τὸν (??) δῆλον εἶναι.
English · Claude translation
If it is …, he says the seventh is …; for seven times six is …, and one is left. So the root from … by the rule of seven is one. One must watch whether the number taken divides exactly: for example, if, adding the roots from some name, I find, say, … units, and … divided by nine … divides exactly into nines (for nine times … is …, and nothing is left), then clearly the root is … itself.
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Notes
Translation notes
- Numbers could not be read by the digitizers (marked (??) in the digital text) and are shown as "…".
Notes on the original text
- Digital text corrected (wrong accent in the digital text): τὸν πυθμένα οὗν → τὸν πυθμένα οὖν.
Cite this passage
Hippolytus, Haer. 4.14.10 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/4/14/10/).
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Plain text
Hippolytus, Haer. 4.14.10 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/4/14/10/).
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