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.

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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.

About this passage

Source
Duncker–Schneidewin, 76 · Ludwig Duncker and F. G. Schneidewin, eds., S. Hippolyti episcopi et martyris Refutationis omnium haeresium librorum decem quae supersunt (Göttingen: Dieterich, 1859); section divisions from Paul Wendland, ed., Hippolytus Werke 3: Refutatio omnium haeresium, GCS 26 (Leipzig: Hinrichs, 1916) · Greek text: L. Duncker and F. G. Schneidewin, Refutationis omnium haeresium (Göttingen, 1859), digitized by the Perseus Digital Library; section divisions from P. Wendland (GCS 26, 1916), digitized by the First Thousand Years of Greek project (Open Greek and Latin); both CC BY-SA 4.0
Text
As printed in Duncker–Schneidewin. Manuscript variants and the editor's apparatus are not reproduced; no textual problem is noted in this passage.
Translation
Claude translation (claude-opus-5-5), 2026-09-27 · Translated by Claude from the Greek text of Duncker–Schneidewin; made independently of existing English translations.
Compare
Ante-Nicene Fathers, vol. 5 (1886) (an older public-domain English translation, whole volume at CCEL; checked against ours only after ours was made) · Its chapter numbers differ from the standard (Wendland) numbering used here.

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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