penetrating
From LSJ
προγράψαντες οὖν τά τε θεωρήματα καὶ τὰ ἐπιτάγματα τὰ χρεῖαν ἔχοντα εἰς τὰς ἀποδείξιας αὐτῶν μετὰ ταῦτα γραψοῦμές τοι τὰ προκείμενα → having therefore written at the beginning the theorems and the postulates that are necessary for their proofs, we will then write out for you the propositions
adj.
See piercing (of sound): P. and V. ὀξύς, V. λιγύς (also Plat. but rare P.), ὄρθιος, πικρός, διάτορος; see loud. Stinging: Ar. and P. δριμύς. Shrewd: P. and V. συνετός, δεινός. Of looks: use Ar. and P. ὀξύς. Bleak: P. χειμερινός, Ar. and V. δυσχείμερος.
