Look up versine or versed sine in Wiktionary, the free dictionary. The versine or versed sine is a trigonometric function found in some of the earliest...
53 KB (4,444 words) - 22:28, 26 May 2024
engineer Charles Haslett, who used it in conjunction with the existing versine function, vers θ = 1 − cos θ , {\displaystyle \operatorname {vers}...
30 KB (2,980 words) - 17:26, 29 September 2024
Ver (command), a shell command in DOS, Windows etc. an abbreviation for "versine", a trigonometric function ver (function prefix) (versus), a prefix for...
1 KB (193 words) - 18:19, 28 May 2023
be written in terms of any multiple of the haversine, such as the older versine function (twice the haversine). Prior to the advent of computers, the elimination...
18 KB (2,539 words) - 13:56, 18 July 2024
(sixth century AD), who discovered the sine function, cosine function, and versine function. When during the Middle Ages, the study of trigonometry continued...
50 KB (6,365 words) - 05:58, 10 October 2024
COS cell lines cos x−1 = cos(x)−1 = −(1−cos(x)) = −ver(x) or negative versine of x, the additive inverse (or negation) of an old trigonometric function...
2 KB (213 words) - 15:38, 4 March 2022
may also be calculated from the versine function, for an arc that spans an angle of Δ = 2θ, and coincides with the versine for unit circles s = r versin...
5 KB (641 words) - 01:05, 25 September 2024
tangent, cotangent, secant, and cosecant, as well as archaic functions like versine and exsecant – can be defined geometrically in terms of a unit circle,...
8 KB (1,009 words) - 03:19, 19 April 2024
as vercos.) ver – versine function. (Also written as vers, siv.) vercos – vercosine function. (Also written as vcs.) vers – versine function. (Also written...
20 KB (1,994 words) - 07:15, 11 October 2024
rotating in a convex closed curve Circle graph Exsecant and excosecant Versine and haversine - ( crd θ = 2 haversin θ {\displaystyle \operatorname...
6 KB (740 words) - 22:51, 18 May 2024
needed] Trigonometric functions: The trigonometric functions sine and versine originated in Indian astronomy. Codex Sinaiticus and the Codex Vaticanus...
12 KB (1,201 words) - 01:26, 24 September 2024
of track which typically feature a mix of small positive and negative versines. A standard chord length is used: in the UK this is conventionally 30 metres...
6 KB (894 words) - 00:12, 30 March 2024
or use alternate methods. Arcsine distribution Inverse exsecant Inverse versine Inverse hyperbolic functions List of integrals of inverse trigonometric...
75 KB (10,592 words) - 16:16, 29 September 2024
tributary of the Lot Vers, an abbreviation for the trigonometric function versine Vers, an abbreviation for versatile, commonly used in Western gay male...
1 KB (183 words) - 11:47, 13 December 2023
(kojya), versine (utkrama-jya), and inverse sine (otkram jya) influenced the birth of trigonometry. He was also the first to specify sine and versine (1 − cos x)...
42 KB (4,761 words) - 11:52, 11 October 2024
the sail, but Grandi may have instead intended merely to refer to the versine function that appeared in his construction. In 1748, Maria Gaetana Agnesi...
26 KB (3,079 words) - 06:40, 27 September 2024
inter x & t determinatur." (Let x be the versine of any arc [i.e., x = 1 – cos θ ]. [Let] t be the versine of another arc. [Let] 1 be the radius of the...
39 KB (5,799 words) - 00:21, 24 September 2024
measures of angles, made their calculations differently, "introduced the versine, which is the difference between the radius and cosine, and discovered...
44 KB (4,944 words) - 15:07, 12 September 2024
sine, cosine, tangent, cotangent, secant, cosecant, exsecant, excosecant, versine, coversine, vercosine, covercosine, haversine, hacoversine, havercosine...
10 KB (1,065 words) - 09:21, 10 August 2024
the four digits given. Skinny triangle Small oscillations of a pendulum Versine and haversine Exsecant and excosecant Holbrow, Charles H.; et al. (2010)...
13 KB (1,679 words) - 23:07, 30 April 2024
some early trigonometric tables used not sine and cosine, but sine and versine. A quick, but inaccurate, algorithm for calculating a table of N approximations...
12 KB (1,648 words) - 13:24, 11 August 2024
(180–125 BCE) and Ptolemy of Roman Egypt (90–165 CE). The functions of sine and versine (1 – cosine) can be traced back to the jyā and koti-jyā functions used...
77 KB (10,607 words) - 05:07, 2 October 2024
of the complement", suggesting the similarity to kojyā is coincidental. Versine B.B. Datta and A.N. Singh (1983). "Hindu Trigonometry" (PDF). Indian Journal...
8 KB (1,012 words) - 05:40, 31 July 2024
Quadrant from 1840s Ottoman Turkey with axes for looking up the sine and versine of angles...
55 KB (6,966 words) - 04:28, 12 October 2024
seldom used today. These include the chord (crd(θ) = 2 sin(θ/2)), the versine (versin(θ) = 1 − cos(θ) = 2 sin2(θ/2)) (which appeared in the earliest...
50 KB (4,939 words) - 10:48, 2 September 2024
angle (since the central angle is 180°). The sagitta (also known as the versine) is a line segment drawn perpendicular to a chord, between the midpoint...
45 KB (6,119 words) - 10:31, 8 October 2024
armillary and solsticial armillary of Mo'ayyeduddin Urdi, the sine and versine instrument of Urdi, the sextant of al-Khujandi, the Fakhri sextant at the...
25 KB (2,776 words) - 06:37, 27 July 2024
also known as the cofunction identities. This also holds true for the versine (versed sine, ver) and coversine (coversed sine, cvs), the vercosine (versed...
7 KB (335 words) - 05:04, 12 September 2023
armillary and solsticial armillary of Mo'ayyeduddin Urdi, the sine and versine instrument of Urdi, the sextant of al-Khujandi, the Fakhri sextant at the...
21 KB (2,459 words) - 03:53, 29 September 2024
}{2}}\right)\,\sin \left({\frac {\gamma }{2}}\right)\end{aligned}}} The versine, coversine, haversine, and exsecant were used in navigation. For example...
81 KB (12,163 words) - 22:12, 3 October 2024