versed sine en · NOUN
Etymology
From New Latin sinus versus (“flipped sine”); the sine function being sometimes called sinus rectus.
Meanings
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The trigonometric function 1 − cos(x).
But if the given arch exceed 90°, find the natural co-sine of its supplement, which add to 1000000, and the sum will be the natural versed sine required.
1805, John William Norie, A New and Complete Epitome of Practical Navigation, page xxii:For the divisions, to be laid on this line, are the differences between the logarithm versed sine of 180°, and the logarithm versed sines of the successive arcs.
1753, John Robertson, “The Construction of the Logarithmic Lines on the Gunter′s Scale”, in Philosophical Transactions: 1750-1755, Great Britain: Royal Society, page 340:The Natural Sines in this table are fractions (radius being unit); and are particularly adapted to Dunthorne′s and other methods of clearing the moon′s distance from the effects of parallax and refraction, where natural sines or versed sines are used ;[…].
1806, John Garnett, Tables Requisite To Be Used with The Nautical Ephemeris, page 41:
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| versed sines | Number=Plur | lexicographic |
Deriveds
suversed · coversed sine · haversed sine · hacoversed sine
Synonyms
Translations (7)
el παρημίτονο (function 1 − cos) · io flecho (function 1 − cos) · es seno verso (function 1 − cos) · de Versinus (function 1 − cos) · de Sinus versus (function 1 − cos) · fi versini (function 1 − cos) · it senoverso (function 1 − cos)