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Spherical trigonometry is the
branch of
spherical geometry that
deals with the
metrical relationships between the
sides and
angles of
spherical triangles...
- Look up
excess or
excessive in Wiktionary, the free dictionary.
Excess may
refer to:
Angle excess, in
spherical trigonometry Insurance excess, similar...
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radiometric quantities radiant intensity and
radiance Calculating spherical excess E of a
spherical triangle The
calculation of
potentials by
using the boundary...
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angle at the
vertex (the
spherical excess),
which is
related to the sum of the
dihedral angles, or by the
angular defect (or
excess) of the vertex, which...
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called spherical excess or
solid angle measure. The
angle measure of a
complete great circle is 2π{\displaystyle 2\pi } radians, and the
spherical excess of...
- the
spherical triangle exceed the
corresponding angles of the
planar triangle by
approximately one
third of the
spherical excess (the
spherical excess is...
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Spherical geometry or
spherics (from
Ancient Gr**** σφαιρικά) is the
geometry of the two-dimensional
surface of a
sphere or the n-dimensional
surface of...
- {\displaystyle \Omega =q\theta -(q-2)\pi .\,} This
follows from the
spherical excess formula for a
spherical polygon and the fact that the
vertex figure of the polyhedron...
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dividing squared side
length by the
spherical excess E , {\displaystyle E,} we
obtain a non-vanishing ratio, the
spherical trigonometry relation: tan 2 1...
- (coordinated) points. In
geodetic operations the
observations are
adjusted for
spherical excess and
projection variations.
Precise angular measurements between lines...