[3] Then Apollonides taking up the discourse, and asking what that opinion of Clearchus was; It would more, said I, beseem any man than you to be ignorant of this discourse, as being grounded on the very fundamental principles of geometry. For he affirms, that what we call a face, is the image and figure of the great ocean, represented in the moon as in a mirror. For the circumference of a circle, when it is reflected back,[1] is wont in many places to touch objects which are not seen in a direct line. And the full moon is for evenness and lustre the most beautiful and purest of all mirrors. As then you hold, that the heavenly bow appears, when the ray of light is reflected back towards the sun, in a cloud which has got a little liquid smoothness and consistence; so, said he, there is seen in the moon the surface of the sea, not in the place where it is situated, but from whence the reflection gives a sight of it by its reverberated and reflexed light, as Agesianax again says in another passage,
This flaming mirror offers to your eyes
The vast sea’s figure, as beneath it lies
Foaming with raging billows.