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SPHERICAL
TRIGONOMETRY

BY
I. TODHUNTER, M.A., F.R.S.,
HONORARY FELLOW OF ST JOHN’S COLLEGE,
CAMBRIDGE.
FIFTH EDITION.
London :
MACMILLAN AND CO.
1886
[All Rights reserved.]

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CONTENTS.

I Great and Small Circles. 1
II Spherical Triangles. 7
III Spherical Geometry. 11
IV Relations between the Trigonometrical Functions of the Sides
and the Angles of a Spherical Triangle. 17
V Solution of Right-angled Triangles. 35
VI Solution of Oblique-Angled Triangles. 49
VII Circumscribed and Inscribed Circles. 63
VIII Area of a Spherical Triangle. Spherical Excess. 71
IX On certain approximate Formulæ. 81
X Geodetical Operations. 91
XI On small variations in the parts of a Spherical Triangle. 99
XII On the connexion of Formulæ in Plane and Spherical Trigonometry.
103
XIII Polyhedrons. 121
XIV Arcs drawn to fixed points on the Surface of a Sphere. 133
XV Miscellaneous Propositions. 143
XVI Numerical Solution of Spherical Triangles. 157
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