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...

engineer Charles Haslett, who used it in conjunction with the existing versine function, vers ⁡ θ = 1 − cos ⁡ θ , {\displaystyle \operatorname {vers}...

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...

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...

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...

tangent, cotangent, secant, and cosecant, as well as archaic functions like versine and exsecant – can be defined geometrically in terms of a unit circle,...

as vercos.) ver – versine function. (Also written as vers, siv.) vercos – vercosine function. (Also written as vcs.) vers – versine function. (Also written...

Ver (command), a shell command in DOS, Windows etc. an abbreviation for "versine", a trigonometric function ver (function prefix) (versus), a prefix for...

rotating in a convex closed curve Circle graph Exsecant and excosecant Versine and haversine - ( crd ⁡ θ = 2 haversin ⁡ θ {\displaystyle \operatorname...

(sixth century AD), who discovered the sine function, cosine function, and versine function. When during the Middle Ages, the study of trigonometry continued...

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...

sine, cosine, tangent, cotangent, secant, cosecant, exsecant, excosecant, versine, coversine, vercosine, covercosine, haversine, hacoversine, havercosine...

or use alternate methods. Arcsine distribution Inverse exsecant Inverse versine Inverse hyperbolic functions List of integrals of inverse trigonometric...

(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)...

needed] Trigonometric functions: The trigonometric functions sine and versine originated in Indian astronomy. Codex Sinaiticus and the Codex Vaticanus...

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...

table. The result is accurate to the four digits given. Skinny triangle Versine Exsecant Holbrow, Charles H.; et al. (2010), Modern Introductory Physics...

measures of angles, made their calculations differently, "introduced the versine, which is the difference between the radius and cosine, and discovered...

Quadrant from 1840s Ottoman Turkey with axes for looking up the sine and versine of angles...

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...

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...

also known as the cofunction identities. This also holds true for the versine (versed sine, ver) and coversine (coversed sine, cvs), the vercosine (versed...

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...

(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...

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...

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...

of the complement", suggesting the similarity to kojyā is coincidental. Versine B.B. Datta and A.N. Singh (1983). "Hindu Trigonometry" (PDF). Indian Journal...

calculations for certain input values see trigonometric functions like versine, vercosine, coversine, covercosine, haversine, havercosine, hacoversine...

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...

half an angle and half a chord. Defined the cosine (kojya). Defined the versine (utkrama-jya). Defined the inverse sine (otkram jya). Gave methods of calculating...