Herbert Weir Smyth [n.d.], A Greek Grammar for Colleges; Machine readable text [info] [word count] [Smyth].
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1693περί

περί around (on all sides), about; cp. πέριξ round about. Lat. per in permagnus. περί is wider than ἀμφί: cp. X. Vect. 1.7 οὐ πεοίρρυτος οὖσα ὥσπερ νῆσος . . . ἀμφιθάλαττος γάρ ἐστι it (Attica) is not, like an island, surrounded by the sea . . . for it has the sea on two sides. On περί post-positive, see cross1665.

1. περί with the Genitive

a. Local (poetic): περὶ τρόπιος βεβαώς riding on (astride) the keel ε 130.

b. Other relations: about, concerning (Lat. de), the subject about which an act or thought centres: περὶ πατρίδος μαχούμενοι fighting for their country T. 6.69 (cp. ὑπέρ), δείσα_ς περὶ τοῦ υἱοῦ fearing for his son X. C. 1.4.22, λέγειν περὶ τῆς εἰρήνης to speak about peace T. 5.55; τὰ περί τινος instead of τὰ περί τινα is used in the neighbourhood of a verb of saying or thinking (which takes περί with gen.): τὰ περὶ τῆς ἀρετῆς the relations of virtue P. Pr. 360e. Superiority (cp. cross1402): περίεσσι γυναικῶν εἶδος thou dost surpass women in beauty ς 248, περὶ παντὸς ποιούμενοι regarding as (more than everything) all-important T. 2.11 (cp. cross1373).

2. περί with the Dative

a. Local: about: of arms, dress, etc., in prose: στρεπτοὶ περὶ τοῖς τραχήλοις collars about their necks X. A. 1.5.8, ἃ περὶ τοῖς σώμασιν ἔχουσιν the clothes about their persons I. ep. 9. 10 (only case in the orators), περὶ δουρί A 303.

b. Other relations (usually poetic): External cause: δείσαντες περὶ ταῖς ναυσίν afraid for their ships T. 7.53 (with verbs of fearing, περί with the gen. is fear of or fear for). Inner impulse: περὶ τάρβει from fear A. Pers. 694.

3. περί with the Accusative

a. Local: of position: ἀπέστειλαν ναῦς περὶ Πελοπόννησον they despatched ships round about Peloponnese T. 2.23, ᾤκουν περὶ πᾶσαν τὴν Σικελία_ν they settled all round Sicily 6. 2; of persons: οἱ περὶ Ἡρἁ_κλειτον the followers of Heraclitus P. Crat. 440c.

b. Indefinite statement of time and number: περὶ ὄρθρον about dawn T. 6.101, περὶ ἑβδομήκοντα about seventy 1. 54.

c. Other relations: Occupation: οἱ περὶ τὴν μουσικὴν ὄντες those who are engaged in liberal pursuits I. 9.4; connected with, of general relation (with reference to): οἱ νόμοι οἱ περὶ τοὺς γάμους the laws about marriage P. Cr. 50d, περὶ θεοὺς ἀσεβέστατοι most impious in regard to the gods X. H. 2.3.53, τὰ περὶ τὰ_ς ναῦς naval affairs T. 1.13. Verbs of action (except verbs of

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striving) prefer περί with accus., verbs of perception, emotion, knowing, prefer περί with gen. But the cases often shift.

4. περί in Composition

Around, about (περιέχειν surround), beyond, over (περιεῖναι excel; and περιορᾶν look beyond, overlook, suffer), (remaining) over (περιγίγνεσθαι remain over, result, and excel), exceedingly (περιχαρής very glad).

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Herbert Weir Smyth [n.d.], A Greek Grammar for Colleges; Machine readable text [info] [word count] [Smyth].
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