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(For the use of Colleges and Schools with Numerous Examples)
1. Great and Small Circles, 2. Spherical Triangles, 3. Spherical Geometry, 4. Relations between the Trigonometrical Functions of the Sides and the Angles of a Spherical Triangle, 5. Solution of Right-angled Triangles, 6. Solution of Oblique-angled Triangles, 7. Circumscribed and Inscribed Circles, 8. Area of a Spherical Triangle Spherical Excess, 9. On Certain Approximate Formulae, 10. Geodetical Operations, 11. On Small Variations in the Parts of a Spherical Triangle, 12. On the Connexion of Formulae in Plane and Spherical Trigonometry, 13. Polyhedrons, 14. Arcs Drawn to Fixed Points on the Surface of a Sphere, 15. Miscellaneous Propositions, 16. Numerical Solution of Spherical Triangles.