The Collaborative International Dictionary of English v.0.48:

Frigid \Frig"id\, a. [L. frigidus, fr. frigere to be cold; prob.
   akin to Gr. ? to shudder, or perh. to ? cold. Cf. Frill.]
   1. Cold; wanting heat or warmth; of low temperature; as, a
      frigid climate.
      [1913 Webster]

   2. Wanting warmth, fervor, ardor, fire, vivacity, etc.;
      unfeeling; forbidding in manner; dull and unanimated;
      stiff and formal; as, a frigid constitution; a frigid
      style; a frigid look or manner; frigid obedience or
      service.
      [1913 Webster]

   3. Wanting natural heat or vigor sufficient to excite the
      generative power; impotent. --Johnson.
      [1913 Webster]

   Frigid zone, that part of the earth which lies between
      either polar circle and its pole. It extends 23? 28? from
      the pole. See the Note under Arctic.
      [1913 Webster]

WordNet (r) 3.0 (2006):

frigid
    adj 1: sexually unresponsive; "was cold to his advances"; "a
           frigid woman" [syn: cold, frigid]
    2: extremely cold; "an arctic climate"; "a frigid day"; "gelid
       waters of the North Atlantic"; "glacial winds"; "icy hands";
       "polar weather" [syn: arctic, frigid, gelid, glacial,
       icy, polar]
    3: devoid of warmth and cordiality; expressive of unfriendliness
       or disdain; "a frigid greeting"; "got a frosty reception"; "a
       frozen look on their faces"; "a glacial handshake"; "icy
       stare"; "wintry smile" [syn: frigid, frosty, frozen,
       glacial, icy, wintry]

Moby Thesaurus II by Grady Ward, 1.0:

164 Moby Thesaurus words for "frigid":
   Olympian, Siberian, affectless, algid, aloof, anesthetized, arctic,
   asexual, austere, autistic, backward, bashful, below zero, biting,
   bitter, bitterly cold, blank, bleak, blunt, boreal, brisk, brumal,
   callous, castrated, catatonic, chill, chilled, chilly, cold,
   cold as charity, cold as death, cold as ice, cold as marble,
   cold-blooded, coldhearted, constrained, cool, crisp, cutting,
   detached, discreet, dispassionate, distant, drugged, dull,
   emasculated, emotionally dead, emotionless, eunuchized, exclusive,
   expressionless, forbidding, freezing, freezing cold, frosted,
   frosty, frozen, frustrated, gelid, glacial, guarded, haughty,
   heartless, hibernal, hiemal, hyperboreal, hyperborean, ice-cold,
   ice-encrusted, icelike, icy, immovable, impassible, impassive,
   impersonal, impervious, impotent, inaccessible, inclement,
   indifferent, inexcitable, inhibited, insusceptible, introverted,
   keen, modest, neuter, neutral, nipping, nippy, nonemotional,
   numbing, obdurate, objective, obtuse, offish, out of touch,
   passionless, passive, penetrating, piercing, pinching, polar, prim,
   raw, remote, removed, repressed, reserved, restrained, reticent,
   retiring, rigid, rigorous, seclusive, self-absorbed, severe,
   sexless, sharp, shrinking, sleety, slushy, snappy, soulless,
   spiritless, standoff, standoffish, steely, stiff, stone-cold,
   stony, strait-laced, subdued, subzero, supercooled, suppressed,
   thick-skinned, unaffable, unaffectionate, unapproachable,
   uncongenial, undemonstrative, undersexed, unemotional, unexpansive,
   unfeeling, unfriendly, ungenial, unimpassioned, unimpressionable,
   unloving, unpassionate, unresponding, unresponsive, unsexed,
   unsexual, unsusceptible, unsympathetic, untouchable, winterbound,
   winterlike, wintery, wintry, withdrawn