- In trigonometry, the law of
cotangents is a
relationship among the
lengths of the
sides of a
triangle and the
cotangents of the
halves of the
three angles...
-
especially differential geometry, the
cotangent bundle of a
smooth manifold is the
vector bundle of all the
cotangent spaces at
every point in the manifold...
- 830,
Habash al-Hasib al-Marwazi
discovered the
cotangent, and
produced tables of
tangents and
cotangents.
Muhammad ibn Jābir al-Harrānī al-Battānī (853–929)...
- In mathematics, the
cotangent complex is a
common generalisation of the
cotangent sheaf,
normal bundle and
virtual tangent bundle of a map of geometric...
- In
differential geometry, the
cotangent space is a
vector space ****ociated with a
point x{\displaystyle x} on a
smooth (or differentiable)
manifold M{\displaystyle...
- In
algebraic geometry,
given a
morphism f: X → S of schemes, the
cotangent sheaf on X is the
sheaf of OX{\displaystyle {\mathcal {O}}_{X}}-modules ΩX/S{\displaystyle...
- {\displaystyle s-b,} and s−c{\displaystyle s-c} of
combined area (see law of
cotangents) A=r(s−a)+r(s−b)+r(s−c)=r2(s−ar+s−br+s−cr)=r2(cotα2+cotβ2+cotγ2)=r...
- domains). Specifically, they are the
inverses of the sine, cosine, tangent,
cotangent, secant, and
cosecant functions, and are used to
obtain an
angle from...
- derived:
hyperbolic tangent "tanh" (/ˈtæŋ, ˈtæntʃ, ˈθæn/),
hyperbolic cotangent "coth" (/ˈkɒθ, ˈkoʊθ/),
hyperbolic secant "sech" (/ˈsɛtʃ, ˈʃɛk/), hyperbolic...
- work
Treatise on the Quadrilateral. Law of
sines Law of
cosines Law of
cotangents Mollweide's
formula Half-side
formula Tangent half-angle
formula See Eli...