## Aristarchus

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mingshey
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### Aristarchus

Aristarchus, "On the sizes and distances of sun and moon"

<<proof for proposition 1>>

Ἔστωσαν ἴσαι σφαῖ?αι, ὧν κέντ?α ἔστω τὰ Α, Β σημεῖα, καὶ
?πιζευχθεῖσα ἡ ΑΒ ?κβεβλήσθω, καὶ ?κβεβλήσθω διὰ τοῦ ΑΒ
?πίπεδον· ποιήσει δὴ τομὰς ?ν ταῖς σφαί?αις μεγίστους κ?κλους.
ποιείτω οὖν τοὺς ΓΔΕ, ΖΗΘ κ?κλους, καὶ ἤχθωσαν ἀπὸ τῶν Α, Β
τῇ ΑΒ π?ὸς ὀ?θὰς αἱ ΓΑΕ, ΖΒΘ, καὶ ?πεζε?χθω ἡ ΓΖ. ...

Here's my crude translation:

Let there be equal spheres, let whose centers be the points A, B, and let AB, being joined, thrown out(extended?),and let a plane thrown out through AB. It will now make cutting great circles in the spheres. Now make circles ΓΔΕ, ΖΗΘ, and let the ΓΑΕ, ΖΒΘ besides(?) be drawn out at right angles to AB at the (points) A, B, and let ΓΖ be joined. ...

I'm especially not certain about the use of π?ὸς in the context between "τῇ ΑΒ" and "ὀ?θὰς". Is it adverbial, as I tried? Or is it a kind of bracketing that I missed? Please help!

annis
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