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