Lexical Definition

‎ἄμαχος‎ ámachos (am'-akh-os) peacable ^G:A
from ‎Α‎ (as a negative particle) and ‎μάχη‎

not a brawler.

• peaceable

Abbott-Smith

* ἄμαχος, -ον (< μάχη);
1. invincible (freq. in cl.).
2. abstaining from fighting, non-combatant (Xen.). Metaph. (cf. MM, VGT, s.v.), not contentious: I Ti 3:3, Tit 3:2.†

Abbott-Smith References

Liddell-Scott-Jones

ἄμαχος-ος, ον,

without battle: hence,

__I with whom no one fights, unconquerable, of persons, [Refs 5th c.BC+]: with infinitive, πολύποδες.. πᾶν ὅτι οὖν φαγεῖν ἄ.[Refs 2nd c.AD+]: of places, impregnable, [Refs 5th c.BC+]: of things, irresistible, κακόν[Refs 5th c.BC+]; ἄ. πρᾶγμα, of a woman whose beauty is irresistible, [Refs 5th c.BC+] —ἄμαχόν [ἐστι] with infinitive, like {ἀμήχανον}, 'tis impossible to do.., [Refs 5th c.BC+]. adverb -ως irresistibly, [Refs 2nd c.AD+]; incontestably, [Refs 2nd c.AD+]
__II active, not having fought, taking no part in the battle, [Refs 5th c.BC+]; ἄ. διάγειν to remain without fighting, [Refs] non-combatants, [Refs 2nd c.AD+]gained without fighting, [Refs 5th c.BC+]
__II.2 disinclined to fight, not contentious, [NT]

_{LSJ Scripture Refs: 1Tim.3.3 ☩ Titus.3.2}