Refutation of All Heresies 4.11.3
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: The planetary distances are recalculated from Archimedes' lunar distance by Plato's ratios.
Greek text · Duncker–Schneidewin, 70
Εἰ δὴ πιστὸν τὸν Ἀρχιμήδην ἡγησάμεθα ἐν μόνῳ τῷ πρώτῳ ἀποστήματι τῷ ἀπὸ σελήνης μέχρι γῆς, ῥᾴδιον καὶ τὰ λοιπὰ κατὰ τὸ διπλάσιον καὶ τριπλάσιον αὔξοντα εὑρεῖν. Ἔστω δὴ κατὰ τὸν Ἀρχιμήδην τὸ ἀπὸ γῆς μέχρι σελήνης ἀπόστημα σταδίων μυριάδ. (??) μονάδων (??), ἔσται μὲν δὴ τούτου διπλάσιος ἀριθμὸς σταδίων ὧν ἀφέστηκεν ὁ ἥλιος τῆς σελήνης μυριάδ. (??) καὶ (??), ἀπὸ δὲ τῆς γῆς ἀφέστηκεν ὁ ἥλιος σταδίων [μυριάδ.] (??) καὶ βτ(??). καὶ Ἀφροδίτη δὲ ἀφέστηκεν ἀπὸ μὲν ἡλίου σταδίων μυριάδ.
English · Claude translation
If, then, we have considered Archimedes trustworthy only in the first distance, that from the moon to the earth, it is easy to find the others too by increasing in double and triple. Let the distance from the earth to the moon be, according to Archimedes, … myriads … units of stades; then the double of this will be the number of stades by which the sun is distant from the moon, … myriads and …; and the sun is distant from the earth … [myriads] and … stades. And Aphrodite is distant from the sun … myriads
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Hippolytus, Haer. 4.11.3 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/4/11/3/).
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Hippolytus, Haer. 4.11.3 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/4/11/3/).
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