When waning month to waxing month gives say.12For the rest, I think that it has been reduced by the precision of mathematics to the <clear> and certain <formula> that night is the shadow of earth13 and the eclipse of the sun is the shadow of the moon14 whenever the visual ray encounters it. The fact is that in setting the sun is screened from our vision by the earth and in eclipse by the moon; both are cases of occultation, but the vespertine is occultation by the earth and the ecliptic by the moon with her shadow intercepting the visual ray.15 What follows from this is easy to perceive. If the effect is similar, the agents are similar, for it must be the same agents that cause the same things to happen to the same subject. Nor should we marvel if the darkness of eclipses is not so deep or so oppressive of the air as night is. The reason is that the body which produces night and that which produces the eclipse while the same in substance are not equal in size. In fact the Egyptians, I think, say that the moon is one seventy-second part (of the earth),16 and Anaxagoras that it is the size of the Peloponnesus17; and Aristarchus demonstrates that the ratio of <the earth's diameter to> the diameter of the moon is smaller than 60 to 19 and greater than 108 to 43.18 Consequently the earth because of its size removes the sun from sight entirely, for the obstruction is large and its duration is that of the night. Even if the moon, however, does sometimes cover the sun entirely, the eclipse does not have duration or extension; but a kind of light is visible about the rim which keeps the shadow from being profound and absolute.19 The ancient Aristotle gives this as a reason besides some others why the moon is observed in eclipse more frequently than the sun, saying that the sun is eclipsed by interposition of the moon but the moon <by that of the earth, which is much larger>.20 Posidonius gave this definition: The following condition is an eclipse of the sun, conjunction of the moon's shadow with whatever <parts of the earth it may obscure>, for there is an eclipse only for those whose visual ray the shadow of the moon intercepts and screens from the sun21; — since he concedes then that a shadow of the moon falls upon us, he has left himself nothing to say that I can see. Of a star there can be no shadow, for shadow means the unlighted and light does not produce shadow but naturally destroys it.22
1 Concerning this eclipse see the Introduction, § 3 supra on the date of the dialogue.
2 For λυκανγές see 941 D infra and Lucian, Vera Hist. ii, 12. Prickard takes the κρᾶσις to refer to the degree of heat; Raingeard, like Amyot and Wyttenbach, takes it to refer to colour or light. Either is possible, but I think a reference to colour the more probable; for κρᾶσις used of colour cf. Quaest. Conviv. 647 c.
3 Cf. Anthologia Lyrica Graeca, ed. Diehl2, i. 1, pp. 50-57, and Edmonds, Elegy and Iambus, i, pp. 82-103; Mimnermus is mentioned in the pseudo-Plutarchean De Musica, chap. 8, 1133 f.
4 Cf. Plato, Charmides, 155 d; Edmonds, Lyra Graeca, iii, p. 68; Wilamowitz, Textgeschichte der griechischen Lyriker, p. 40, n. 1.
5 Cf. Archilochus, frag. 74 (Anthologia Lyrica Graeca, ed. Diehl2, i. 3, p. 33 = Edmonds, Elegy and Iambus, ii, p. 134).
6 Cf. Pliny, Nat. Hist. ii. 12, § 54: ‘ quo in metu fuisse Stesichori et Pindari vatum sublimia ora palam est deliquio solis. ’
7 = Pindar, Paean, ix. 2-3: ἄστρον ὑπέρτατον ἐν ἁμέρᾳ κλεπτόμενον.
8 Possibly Stesichorus, cf. Bergk, Poetae Lyrici Graeci4 , iii, p. 229 (frag. 73), and Edmonds, Elegy and Iambus, i, p. 102, n. 1.
9 Cf. Pindar, Paean, ix. 5: ἐτίσκοτον ἀτραπὸν ἐσσυμένα. For the genitive σκότους cf. De Audiendis Poetis, 36 E, and De Latenter Vivendo, 1130 B.
10 Adapted from Odyssey, xx. 351-352.
12 Odyssey, xix. 307. For this interpretation of the Homeric lines cf. De Vita et Poesi Homer, chap. 108 (vii, p. 388. 15 ff. [Bernardakis]), and Heraclitus, Quaestiones Homericae, § 75 (pp. 98. 20-99. 18 [Oelmann]).
13 Cf. De Primo Frigido, 953 A and Plat. Quaest. 1006 F, where on Timaeus, 40 C Plutarch quotes Empedocles to this effect. Aristotle refers to the definition, Topics, 146 B 28 and Meteorology, 345 B 7-8.
14 Cf. the lines of Empedocles quoted at 929 c-d supra. In De Placitis, 890 F = Aëtius, ii. 24. 1 this explanation of solar eclipses is ascribed to Thales — quite unhistorically, as the subsequent entries show.
15 Cf. Cleomedes, ii. 3. 94-95 (p. 172. 6-10 [Ziegler]) and ii. 4. 106 (p. 192. 16-24); Geminus, x (pp. 130. 11-132. 12 [Manitius]).
16 I know of no other reference to such an estimate.
17 According to Hippolytus, Refut. i. 8. 6-10 ( = Dox. Graeci, p. 562 = Anaxagoras, frag. A 42 [ii, p. 16. 16-31, Diels-Kranz]), Anaxagoras said that the sun exceeds the Peloponnesus in size (cf. Aëtius, ii. 21. 3 and Diogenes Laertius, ii. 8). The statement here concerning the moon is missing from Diels-Kranz.
18 This is Proposition 17 of Aristarchus's essay, ‘On the Sizes and Distances of the Sun and Moon’ (cf. Heath's edition and translation in his Aristarchus of Samos, pp. 351 ff.). Although Plutarch does not say that this contradicts Stoic doctrine, the older, orthodox Stoics held that the moon as well as the sun is larger than the earth (De Placitis, 891 C = Aëtius, ii. 26. 1 = S. V. F. ii, frag. 666; cf. Pliny, Nat. Hist. ii. 11 [8]. 49).
19 Cf. Cleomedes, ii. 4. 105 (p. 190. 17-26).
20 = Aristotle, frag. 210 (Rose). The reference is not to De Caelo, 293 B 20-25, for in that passage Aristotle gives not his own opinion but that of some Pythagoreans (cf. Cherniss, Aristotles Criticism of Presocratic Philosophy, pp. 198-199, and Aëtius, ii. 29. 4 cited there). For the terminology σελήνης or γῆς ἀντίφραξις cf. Aristotle, Anal. Post. 90 a 15-18, and with the whole passage cf. Pseudo-Alexander, Problem. 2. 46 (quoted by Rose, Aristoteles Pseudepigraphus, § 194, p. 222), and Philoponus, In Meteor. p. 15. 21-23.
21 Cf. Cleomedes, ii. 3. 94-95 (p. 172. 6-17 [Ziegler]) and 98 (p. 178. 13-24), ii. 4. 106 (p. 192. 14-20).
22 Posidonius ranked the moon as a ‘star’; cf. Arius Didymus, Epitome, frag. 32 (Dox. Graeci, p. 466. 18-21), and Edelstein, A. J. P. lvii (1936), p. 297. For the theory that the light of the moon is a product of her own proper light and the solar light which produces an alteration in her cf. Cleomedes, ii. 4.101 (pp. 182. 20-184. 3 [Ziegler]) and 104 (p. 188. 5-27), the latter of which indicates how the present contention of Plutarch could have been answered from the point of view of Posidonius.