Spherical trigonometryReprint of the original, first published in 1871. |
Contents
Great and Small Circles | 1 |
Spherical Triangles | 6 |
Spherical Geometry | 10 |
Relations between the Trigonometrical Functions of the Sides and the Angles of a Spherical Triangle | 16 |
Solution of Rightangled Triangles | 32 |
Solution of Obliqueangled Triangles | 46 |
Circumscribed and Inscribed Circles VII | 59 |
Area of a Spherical Triangle Spherical Excess | 67 |
Geodetical operations | 85 |
On small variations in the parts of a Spherical Triangle | 93 |
Polyhedrons | 114 |
Ares drawn to fixed points on the Surface of a Sphere | 125 |
Miscellaneous Propositions | 135 |
Numerical Solution of Spherical Triangles | 149 |
75 | 151 |
135 | 155 |
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Common terms and phrases
ambiguity angular approximately arcs base calculated called centre circle circular considered constant corresponding cos a cos cos³ cosines deduce demonstrated denote described determine draw drawn edges elements equal equation error example expressed faces figure fixed points formed formula formulæ four give given greater Hence inscribed known length less measured meet method middle point Napier's observed obtain opposite sides perpendicular plane polar triangle pole polygon position preceding Article produced quadrant radius regular polyhedron relation remain respectively result right angles right-angled triangles Rules shew shewn sides Similarly sin b sin sin³ sine small circle solid angles solution sphere spherical excess spherical triangle straight lines supplement suppose surface tetrahedron theorem third touches triangle ABC