παραπίπτω,
fall beside, ἐγγὺς τῶν τειχῶν -πεπτωκός [[ 1st-2nd c.AD: Plutarchus Biographus et Philosophus “Lysander” 29 ] Refs 1st c.AD+]; come side to side, [[ 4th c.BC: Aristoteles Philosophus “de Generatione Animalium” 718a1, +others ] Refs 4th c.BC+]
__2 in Mathematics texts, as passive of παραβάλλω, to be applied, [[ 3rd c.BC: Archimedes Geometra “περὶ κωνοειδέων καὶ σφαιροειδέων” 2. ] Refs 3rd c.BC+]
__II fall in one's way, κατὰ τύχην παραπεσοῦσα νηῦς [[ 5th c.BC: Herodotus Historicus 8.87, compare 5th c.BC: Lysias Orator 27.15; ἀκοντίσαι ὅπου ἂν παραπίπτῃ [θηρίον] 5th-6th c.BC: Xenophon Historicus “Institutio Cyri (Cyropaedia)” 1.2.10; ἀγοράσαι.. χιτωνάριον, μάλιστα μὲν ἐὰν παραπίπτῃ χειριδωτόν “PCair.Zen.” 469.5 (3rd c.BC) ] Refs 5th c.BC+]; π. κατὰ βοήθειαν come in time to aid, [[ 2nd c.BC: Polybius Historicus 31.5.2, etc.] Refs 2nd c.BC+]; ὁπότε καιρὸς παραπέσοι as opportunity offered, [[ 5th-6th c.BC: Xenophon Historicus “de Equitum magistro” 7.4, compare 5th c.BC: Thucydides Historicus 4.23; οὐ δεῖ τοιοῦτον παραπεπτωκότα καιρὸν ἀφεῖναι 4th c.BC: Demosthenes Orator 1.8; εἴ ποθεν ἄελπτος παραπέσοι σωτηρία 5th c.BC: Euripides Tragicus “Orestes” 1173; ὁ -πίπτων παρὰ τῶν πολλῶν ἔπαινος 4th-3rd c.BC: Epicurus Philosophus “Gnomologium Vaticanum - Kleine Schriften” 29 ] Refs 5th c.BC+]; ὁ παραπεσών the first that comes, ἡ παραπίπτουσα ἀεὶ [ἡδονή] [[ 5th-6th c.BC: Plato Philosophus “Respublica” 561b ] Refs 5th c.BC+]; ὁ παραπεπτωκὼς λόγος that happened to arise, [[ [prev. author] “Lg.” 832b, compare “Phlb.” 14c ] Refs]; πᾶν τὸ παραπῖπτον or παραπεσόν all that befalls, [[ 2nd c.BC: Polybius Historicus 3.51.5, 11.4.5 ] Refs 2nd c.BC+]; κατὰ τὸ -πῖπτον incidentally, [[ 1st c.BC: Philodemus Philosophus “de Morte - Papiri Ercolanesi” 37. ] Refs 1st c.BC+]