What is "on height"

Height \Height\ (h[imac]t), n. [Written also hight.] [OE. heighte, heght, heighthe, AS. he['a]h[eth]u, h[=e]h[eth]u fr. heah high; akin to D. hoogte, Sw. h["o]jd, Dan. h["o]ide, Icel. h[ae][eth], Goth. hauhi[thorn]a. See High.]

1. The condition of being high; elevated position.

   Behold the height of the stars, how high they are!
   --Job xxii. 1

2. 2. The distance to which anything rises above its foot, above that on which in stands, above the earth, or above the level of the sea; altitude; the measure upward from a surface, as the floor or the ground, of an animal, especially of a man; stature.
   --Bacon.

   [Goliath's] height was six cubits and a span.
   --1 Sam. xvii. 4.

3. Degree of latitude either north or south. [Obs.]

   Guinea lieth to the north sea, in the same height as Peru to the south.
   --Abp. Abbot.

4. That which is elevated; an eminence; a hill or mountain; as, Alpine heights.
   --Dryden.

5. Elevation in excellence of any kind, as in power, learning, arts; also, an advanced degree of social rank; pre["e]minence or distinction in society; prominence.

   Measure your mind's height by the shade it casts.
   --R. Browning.

   All would in his power hold, all make his subjects.
   --Chapman.

6. Progress toward eminence; grade; degree.

   Social duties are carried to greater heights, and enforced with stronger motives by the principles of our religion.
   --Addison.

7. Utmost degree in extent; extreme limit of energy or condition; as, the height of a fever, of passion, of madness, of folly; the height of a tempest.

   My grief was at the height before thou camest.
   --Shak.

   On height, aloud. [Obs.]

   [He] spake these same words, all on hight.
   --Chaucer.