WOLFRAM|DEMONSTRATIONS PROJECT

Spherical Law of Sines

vertex A

θ

1.047

vertex B

θ

1.047

ϕ

1.083

show sphere

Draw a spherical triangle

ABC

on the surface of the unit sphere with center at the origin

O

. Let the sides (arcs) opposite the vertices have lengths

a

,

b

and

c

, and let

A

,

B

and

C

be the angles at the vertices

A

,

B

and

C

. The spherical law of sines states that

sina/sinA=sinb/sinB=sinc/sinC

.