vers

IPA/vˈɜːz/
KK[vˈɚs]IPA/vˈərs/

vers — 縮寫

1. a short written form of 'versed sine' — a mathematical function equal to 1 minus

1.縮寫C2
釋義

正矢

歷史三角函數，1減去角的餘弦

a short written form of 'versed sine' — a mathematical function equal to 1 minus the cosine of an angle, formerly used in navigation and astronomy before electronic calculators became common.

例句

Zola used a vers table to find the position of her ship at sea.

Zola 利用正矢表在海上定位她的船。

collocation: vers table / versine table

The vers of a 30-degree angle equals 1 minus the cosine of 30 degrees.

30 度角的正矢等於 1 減去 30 度的餘弦。

grammar pattern: vers of [angle]

常見搭配
  • vers table
  • vers of [angle]
  • log vers
  • natural vers
  • calculate vers
同義詞
  • versed sine

    the full name that vers abbreviates; identical in meaning but formal

用法筆記

Rarely used today — replaced by the cosine function in modern mathematics. Appears mainly in historical texts on navigation, astronomy, and the history of mathematics.

常見錯誤

The vers of 45° is 0.5.
The vers of 45° is approximately 0.293.
vers(θ) = 1 − cos(θ), so vers(45°) = 1 − √2/2 ≈ 0.293, not 0.5 (which would be cos(60°)).

同根字

  • versed sine
    名詞C2
  • versine
    名詞C2
  • coversed sine
    名詞C2
  • haversine
    名詞C2

常見搭配

名詞搭配

常用片語

  • vers of the angle
  • log vers
  • natural vers

介系詞搭配