geometrician, to solve the problem propounded in a mysterious oracle of
the God. The oracle was this: “The Delians and the other Greeks shall
have respite from their present ills when they have doubled the altar at
Delos.” The Delians were unable to guess the meaning, and, moreover, had
brought themselves into a ludicrous difficulty about the construction of
the altar. They had doubled each of the four sides,[28] and so
unconsciously produced a solid figure eight times greater than the
original, in ignorance of the factor which must be applied to the side,
in order to double the solid. [Sidenote: C] So they appealed to Plato
for help in the difficulty. Plato, remembering the Egyptian, said that
the God was rallying the Greeks on their neglect of liberal studies,
mocking our ignorance, and commanding us to take up geometry in real
earnest; that it required no slight or dim-sighted intellect, but a
first-rate training in linear geometry, to find two mean proportionals,
the only method by which a solid in the form of a cube can be doubled,
if all its dimensions are to be increased uniformly. Eudoxus of Cnidos,
he said, or Helicon of Cyzicus, would work this out for them.[29]
However, in his opinion, the God did not desire this; he was enjoining
all the Greeks to cease from war [Sidenote: D] and trouble and devote
themselves to the Muses, to soften their passions by discussions and
Mathematics, and to associate profitably with one another.’
VIII. While Simmias was speaking, our father Polymnis came in upon us.
He sat down by Simmias and said: ‘Epaminondas invites you and all
present, if you have no more pressing engagement, to wait hereabouts; he
wants to introduce to you the stranger, a man noble himself, and brought
here by a noble and generous errand. He comes from the Pythagoreans of
[Sidenote: E] Italy, to pour offerings on the tomb of old Lysis, in
accordance, as he says, with certain dreams and clear visions. He brings
a large sum in gold, thinking that Epaminondas ought to be reimbursed
for the care of Lysis in his old age, and on this he insists most
keenly, though we neither ask nor wish assistance for our poverty.’
Simmias was pleased: ‘A really wonderful man,’ he said, ‘and worthy of
Philosophy; but what is the reason that he has not come straight to us?’
‘He passed the night, I think,’ said he, ‘near the tomb of Lysis;
Epaminondas [Sidenote: F] was to take him on to the Ismenus to bathe,
and then they will come on to us here. Before he met us, he had made his
night’s lodging near the tomb, intending to take up the remains and
convey them to Italy, unless prevented by some divine warning in the
night.’ Having said this, my father was silent.
Public-domain text, read in full here on John Shaqi.
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