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单词 haversine
释义

haversine /'hævəsain/

英汉-汉英词典
n. 半正矢
词组 | 习惯用语
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  • aversion n. 厌恶;讨厌的人
  • haversack n. 粗帆布背包
  • averseness n. 厌恶,反对
  • adverseness 反对;逆,不利,不幸
haversine n. [数] 半正矢

网络短语:
haversine formula 半正矢公式
cosine haversine formula 余弦半正矢公式
natural haversine formula 半正矢自然函数公式
repeated haversine load 周期性半正矢荷载
Haversine wave load 半正弦荷载
halfgauge log haversine formula 二分之一半正矢对数式
half log haversine formula 半正矢对数式
中文百科

正矢 Versine

(重定向自Haversine)
角θ的所有三角函数在几何上可以依据以O点为圆心的单位圆来构造。
seno, coseno, y verseno de θ sobre la base de la circunferencia goniométrica.
A unit circle with trigonometric functions.
Comparison of the versine function with three approximations to the versine functions, for angles ranging from 0 to 2π

正矢(英文:VersineVersed sine),在三角函数之中被定义为\textrm{versin} \theta = 1 - \cos \theta \,,值域在0~2之间。

  • 余矢(英文:coversed sinecoversine),写为\operatorname{coversin}(\theta),有时亦缩写为\operatorname{cvs}(\theta)
  • 半正矢(英文:haversed sinehaversine),写为\operatorname{haversin}(\theta),因半正矢公式出名,且曾用于导航术。
  • 半余矢(英文:hacoversed sinehacoversinecohaversine),写为\operatorname{hacoversin}(\theta)
英语百科

Versine 正矢

(重定向自Haversine)
A unit circle with trigonometric functions.
Sine, cosine, and versine of angle θ in terms of a unit circle with radius 1, centered at O. This figure also illustrates the reason why the versine was sometimes called the sagitta, Latin for arrow.[32] If the arc ADB of the double-angle Δ = 2θ is viewed as a
The trigonometric functions can be constructed geometrically in terms of a unit circle centered at O.
Comparison of the versine function with three approximations to the versine functions, for angles ranging from 0 to 2π

The versine or versed sine is a trigonometric function already appearing in some of the earliest trigonometric tables. The versine of an angle equals 1 minus its cosine.

There are several related functions, most notably the coversine and haversine. The latter, half a versine, is of particular importance in the haversine formula of navigation.

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