 By proceeding in this way for the other angles, we find the following very remarkable theorem. If a spherical triangle of very small curvature be flattened without altering the length of its sides, its angles are diminished by quantities which are very...  Elements of Spherical Trigonometry - Page 29by Augustus De Morgan - 1833 - 32 pagesFull view - About this book
 | Mathematics - 1835 - 684 pages
...sensible error. This gives 2 2 spherical excess z = — = - 8 --------- nearly С' = С - nearly о By proceeding in this way for the other angles, we...spherical excess in the spherical triangle. CHAPTER VII. ON SPHERICAL POLYGONS*. (57.) IF the whole surface of a sphere be covered by spherical polygons,... | |
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