Perseus analyses of κείνοισι:

ἐκεῖνος (the person there, that person): neut dat pl (epic ionic aeolic)
ἐκεῖνος (the person there, that person): masc dat pl (epic ionic aeolic)
κεῖνος (the person there, that person): masc/neut dat pl (epic ionic aeolic)

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ἐκεῖνος

ἐκεῖνος, ἐκείνη, ἐκεῖνο, also κεῖνος (regular in Ep., Ion. (as SIG 37.3 (Teos, v B.C.), though Hdt. prefers ἐκεῖνος), and Lyr., in Trag. κεῖνος only where the metre requires, cf. A. Pers. 230,792, S. Aj. 220 (anap.), etc. ; but not in Att. Prose, and in Com. only in mock Trag. passages) : Aeol. κῆνος Sapph. 2.1 : Dor. τῆνος Theoc. 1.4, etc. : in Com., strengthd. ἐκεινοσί Eup. 277 (prob.), Ar. Eq. 1196, etc. ; ἐκεινοσίν A.D. Pron. 59.24 : (ἐκεῖ ):—demonstr. Pron.

A. the person there, that person or thing, Hom., etc. : generally with reference to what has gone immediately before, Pl. Phd. 106c, X. Cyr. 1.6.9, etc. ; but when οὗτος and ἐκεῖνος refer to two things before mentioned, ἐκεῖνος, prop. belongs to the more remote, in time, place, or thought, οὗτος to the nearer, Pl. Euthd. 271b, etc. : but ἐκεῖνος sts. = the latter, X. Mem. 1.3.13, D. 8.72, Arist. Pol. 1325a7, etc. : ἐκεῖνος is freq. the predicate to οὗτος or ὅδε, οὗτος ἐκεῖνος τὸν σὺ ζητέεις Hdt. 1.32 ; τοῦτʼ ἔστʼ ἐκεῖνο E. Hel. 622 ; ἆρʼ οὗτός ἐστʼ ἐκεῖνος ὅν..; Ar. Pax 240, etc. : also joined as if one Pron., τοῦτʼ ἐκεῖνο..δέρκομαι S. El. 1115, etc. ; κατʼ ἐκεῖνο καιροῦ at that point of time, Plu. Alex. 32, etc. ; ἐς ἐ. τοῦ χρόνου D.C. 46.49 ; ἀλλʼ ἐκεῖνο, à propos, Luc. Nigr. 8.

b. ἐκεῖνα the ideal world, Id. Phdr. 250a.

3. for things, of which one cannot remember or must not mention the name, = ὁ δεῖνα, so-and-so, Ar. Nu. 195.

b. in formulae, τεθνάτω καὶ οἱ παῖδες οἱ ἐξ ἐκείνου IG 12.10.33.

4. with simple demonstr. force, Ἶρος ἐκεῖνος ἧσται Irus sits there, Od. 18.239 ; νῆες ἐκεῖναι ἐπιπλέουσιν there are ships sailing up, Th. 1.51.

5. in orat. obliq. where prop. the reflex. Pron. αὑτοῦ would stand, X. HG 1.6.14, Is. 8.22, etc.

6. after a Relat. in apodosi almost pleon., X. Cyr. 1.4.19 (s.v.l.).

II. Adv. ἐκείνως in that case, Id. 1.77, 3.46 ; in that way, Hp. Fract. 27 ; ζῆν Pl. R. 516d, etc.: Ion. κείνως Hdt. 1.120.

III. dat. fem. ἐκείνῃ as Adv.,

1. of Place, at that place, in that neighbourhood, Hdt. 8.106, Th. 4.77, etc. ; κείνῃ (sc. ὁδῷ) Od. 13.111.

2. of Manner, in that manner, Pl. R. 556a, etc.

IV. with Preps., ἐξ ἐκείνου from that time, X. Ages. 1.17 ; ἀπʼ ἐκείνου Luc. DMar. 2.2 ; κατʼ ἐκεῖνα in that region, X. HG 3.5.17, etc. ; μετʼ ἐκεῖνα afterwards, Th. 5.81 ; cf. ἐπέκεινα.