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Proofs for the Spherical Laws of sines and Cosines

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#geometry #trigonometry #euclidean-geometry #spherical-geometry #spherical-trigonometry
285
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Pull Constant from Atan2 Function

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#trigonometry #euclidean-geometry #coordinate-systems #spherical-geometry #spherical-trigonometry
63
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area of a concave spherical polygon with radius 1

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#3d #spherical-geometry
50
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Decide whether each triangle below lies in the Euclidean plane, on a sphere (of radius 1), or in the hyperbolic plane

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#geometry #euclidean-geometry #hyperbolic-geometry #spherical-geometry
36
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Minimal surface contained in a hemisphere

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#reference-request #riemannian-geometry #smooth-manifolds #spherical-geometry #minimal-surfaces
861
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Deriving the Euler-Lagrange equations for the arclength of a curve on the unit sphere

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#calculus-of-variations #spherical-coordinates #spherical-geometry #geodesic #euler-lagrange-equation
713
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Angle between two 'small circles' on the surface of a sphere

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#geometry #euclidean-geometry #spherical-coordinates #spherical-geometry
115
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Totally geodesic surfaces of $\mathbb{S}^3$

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#algebraic-topology #riemannian-geometry #smooth-manifolds #surfaces #spherical-geometry
171
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Precalculus in a Nutshell, Geometry, Question 11

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#geometry #volume #spherical-geometry
64
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Mapping points on a sphere: many to one

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#rotations #spherical-geometry
202
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Finding the right grid tessellation, for a chess board with elliptical geometry

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#spherical-geometry #tessellations #chessboard
1.2k
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relationship between a great circle arc and a latitude circle arc at a given latitude

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#geometry #spheres #spherical-geometry #spherical-trigonometry
847
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Is the Line-Of-Sight Bearing equal to the Great Circle Path Initial Heading?

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#spherical-geometry
192
Views

Solving stereographic projection for central latitude $\phi_1$ and central longitude $\lambda_0$

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#functions #trigonometry #spherical-geometry #projection #spherical-trigonometry
55
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Projection of points on the spherical triangle $[\text{sphericalTriangle}(x,y,z) \Longleftrightarrow \text{planarTriangle}(a, b)]$

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#trigonometry #triangles #spherical-coordinates #spherical-geometry #spherical-trigonometry

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