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Questions tagged [spherical-trigonometry]

For geometric questions about solving spherical triangles and spherical polygons on spheres.

Spherical trigonometry is the area within that studies the of spherical polygons—most notably, spherical triangles—which are bounded by great arcs on . Its importance to spherical geometry is akin to that of to .

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Find the center of a sphere from 2 points, a radius, and a known condition

I have $2$ arbitrary points in space, $p_1$ and $p_2$, that both lie on a sphere of known radius $r$. The center of the sphere is such that if a line were drawn around the sphere through both points $p_1$ and $p_2$, the line would also cross through…
Bryce Bangerter
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Coordinate Matching of Sphere within a Sphere (Gloves)

Is there a mathematical formula to determine comparison matching of two spheres sharing the same center poibt but different axis? Specific applications include celestial or terrestrial coordinate comparisons. Example: If one were to envision the…
Tesseract
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What is the definition of oblique spherical triangle?

What is the formal definition of an oblique spherical triangle?
PRD
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Angle between spherically symmetric vectors

Five equal forces equally inclined to neighboring forces act on a point. Find the angle between any two. Or its spherical co-ordinate $ \theta, \phi $ decomposition. For $n=4,6,$ the angles are $ -\cos^{-1}\frac13, \pi/2 $ respectively ( tetrahedron…
Narasimham
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Equating the angle of radii to the length of the arc of a circle.

At what angle of 2 radii of a circle does the combined length of the radii equal the length of the portion of the arc of the circle that lies between the two radii?
Darcy
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