Plato, Meno 87a
← the shelves · Plato, Meno · ← Plato, Meno 86e · Plato, Meno 87b →
Plato, Meno 87a Ancient Greek
Plato, Meno
τρίγωνον ἐνταθῆναι, εἴποι ἄν τις ὅτι οὔπω οἶδα εἰ ἔστιν τοῦτο τοιοῦτον, ἀλλʼ ὥσπερ μέν τινα ὑπόθεσιν προὔργου οἶμαι ἔχειν πρὸς τὸ πρᾶγμα τοιάνδε· εἰ μέν ἐστιν τοῦτο τὸ χωρίον τοιοῦτον οἷον παρὰ τὴν δοθεῖσαν αὐτοῦ γραμμὴν παρατείναντα ἐλλείπειν τοιούτῳ χωρίῳ οἷον ἂν αὐτὸ τὸ παρατεταμένον ᾖ, ἄλλο τι συμβαίνειν μοι δοκεῖ, καὶ ἄλλο αὖ, εἰ ἀδύνατόν ἐστιν ταῦτα παθεῖν. ὑποθέμενος οὖν ἐθέλω
whether a certain area is capable of being inscribed as a triangular space in a given circle: they reply—I cannot yet tell whether it has that capability; but I think, if I may put it so, that I have a certain helpful hypothesis for the problem, and it is as follows: If this area is such that when you apply it to the given line of the circle you find it falls short by a space similar to that which you have just applied, then I take it you have one consequence, and if it is impossible for it to fall so, then some other. Accordingly I wish to put a hypothesis, before I state our conclusion as regards inscribing this figure
English (Perseus/OGL perseus-eng2)
Translation: Perseus Digital Library — English translation (as released in canonical-greekLit / canonical-latinLit) · CC BY-SA 4.0
View at the source → urn:cts:greekLit:tlg0059.tlg024.perseus-grc2:87a
Cite as
Plato, Meno 87a — Perseus Digital Library — canonical-greekLit (Tufts University) (CC BY-SA 4.0) · urn:cts:greekLit:tlg0059.tlg024.perseus-grc2:87a