Trigonometry of a tetrahedron information

The trigonometry of a tetrahedron explains the relationships between the lengths and various types of angles of a general tetrahedron. The following are...

solid angles and polytopes such as tetrahedrons and n-simplices. In spherical trigonometry, triangles on the surface of a sphere are studied. The spherical...

theorem Trigonometric function Trigonometry of a tetrahedron Triangle (also see List of triangle topics) Sine, Cosine, Tangent (trigonometric function)...

In geometry, a tetrahedron (pl.: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six...

Radian Circumference Diameter Trigonometric function Asymptotes Circular functions Periodic functions Law of cosines Law of sines Polar sine Amplitude Dot...

In a tetrahedral molecular geometry, a central atom is located at the center with four substituents that are located at the corners of a tetrahedron. The...

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to...

h = 3 2 a {\displaystyle h={\frac {\sqrt {3}}{2}}a} Denoting the radius of the circumscribed circle as R, we can determine using trigonometry that: The...

In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one...

a special case of the more general law of cosines, valid for arbitrary triangles. In a right triangle with sides a, b and hypotenuse c, trigonometry determines...

and the metrical tools of spherical trigonometry are in many respects analogous to Euclidean plane geometry and trigonometry, but also have some important...

between the argument of the trigonometric functions and the area of a sector of the unit circle. To see why, apply Green's theorem: A = 1 2 ∫ 0 t ( x d y...

any plane containing a bimedian (connector of opposite edges' midpoints) of a tetrahedron bisects the volume of the tetrahedron: pp.89–90  Weisstein,...

two-dimensional surface List of trigonometric identities – Equalities that involve trigonometric functions List of volume formulas – Quantity of three-dimensional space...

"Mateescu Constantin, Answer to Inequality Of Diagonal". C. V. Durell & A. Robson, Advanced Trigonometry, Dover, 2003, p. 267. "Original Problems Proposed...

define sine, cosine, and π in a way that is totally independent of trigonometry, in which case the proof is valid by the change of variables formula and Fubini's...

one same object, acquiring two images from different points of view. In terms of trigonometry relations, depth information can be calculated from disparity...

a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the...

the reciprocal square root of 6. The edge lengths of a regular tetrahedron (t), a regular octahedron (o), and a cube (c) of equal total surface areas satisfy...

puzzle, and the 30-30-120 triangle of the triakis triangular tiling. Five Catalan solids, the triakis tetrahedron, triakis octahedron, tetrakis hexahedron...

"Trigonometry in Lorentzian geometry". Affine geometry can be viewed as the geometry of an affine space of a given dimension n, coordinatized over a field...

trigonometry to algebra. Hamilton called a quaternion of norm one a versor, and these are the points of elliptic space. With r fixed, the versors e a...

In convex geometry and vector algebra, a convex combination is a linear combination of points (which can be vectors, scalars, or more generally points...

an object of study in their own right. The study of the angles of a triangle or of angles in a unit circle forms the basis of trigonometry. In differential...

R^{3}\end{aligned}}} Tetrahedron (triangular pyramid or 3-simplex): The volume of a tetrahedron with its apex at the origin and edges of length ℓ along the...