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A New Proof of the Formulae for Right-Angled Spherical Triangles

Published online by Cambridge University Press:  20 January 2009

John Jack
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It is assumed that the sines of the sides are proportional to the sines of the opposite angles.

ACB (Fig. 9) is a spherical Δ, with C a right angle.

Produce AC, AB to D and E so that

Draw the great ⊙ DEF and produce CB to meet it in F.

Then F is the pole of AD and A the pole of DF.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 16 , February 1897 , pp. 39 - 40
Copyright
Copyright © Edinburgh Mathematical Society 1897