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" He did not even understand the rule I made use of for finding the excess of the sum of the three angles of a spherical triangle above 180°, (which since that time has been quoted as Gen. "
The elements of spherical trigonometry - Page 46
by James Hann - 1849 - 68 pages
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A Treatise on Plane and Spherical Trigonometry

Robert Woodhouse - Trigonometry - 1819 - 264 pages
...Reduction of the Oblique to an Horizontal Angle, by the direct, by Delambre's approximate, Method. — Excess of the Sum of the Three Angles of a Spherical Triangle above Two Right Angles. — Roy's Theorem. — Legendre's Reduction of a small Spherical to a Rectilinear...
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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - Mathematics - 1825 - 653 pages
...sin. 2C + ™ . sin. 3C, &c. 2 3 m^being the value of the fraction ~ . b 6. Find an expression for the excess of the sum of the three angles of a spherical triangle above two right angles. 7. In the revolution of a body round the focus of an ellipse of small excentricity,...
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New series of The mathematical repository, Volume 5

Thomas Leybourn - Mathematics - 1830
...I thought the most prOpe.rf6rpiiblicat.ion, but he was continually making alterations. He did riot even understand the rule I made use of for finding...of the three angles of a spherical triangle above j8oe, (which since that time has been quoted as Gener&l Roy's theorem* J and would not insert it until...
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Technologisches Wörterbuch: der deutschen, französischen und englischen ...

J. A. Beil, Traugott Samuel Franke - 1855
...spherical fuze (Art.) * Der SchrapneJl-Zilnder * Fuse'e/. pour obus Shrapnel!. The spherical excess (the excess of the sum of the three angles of a spherical triangle above two right angles) * Der sph&rische Excess * Exces m. spherique. The spherical triangle (a triangle...
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Mathematical dictionary and cyclopedia of mathematical science: comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 592 pages
...ercessus, from excedo, to go beyond]. That which goes beyond. See Property o/9'í. EXCESS SPHERICAL. The excess of the sum of the three angles of a spherical triangle over two right angles, or 180°, is called the »phcncal excess. This element is of much importance...
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Glossary of terms and phrases, ed. by H.P. Smith

Glossary - 1883
...geometry ; those between the trigonometrical functions of the sides and angles, of S. trigonometry. The excess of the sum of the three angles of a spherical triangle above two right angles is its .9. excess. А .$'. segment is the part of a sphere cut off by a plane ; a...
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Glossary of Terms and Phrases

Henry Percy Smith - English language - 1883 - 521 pages
...geometry ; those between the trigonometrical functions of the sides and angles, of S. trigonometry. The excess of the sum of the three angles of a spherical triangle above two right angles is its S. excess. A S. segment is the part of a sphere cut off by a plane ; a S. lector...
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The Imperial Dictionary of the English Language: A Complete ..., Volume 4

John Ogilvie - Encyclopedias and dictionaries - 1883
...angle formed on the surface of a sphere by the intersection or two great circles. — Spherical excess, the excess of the sum of the three angles of a spherical triangle above two right angles or ISO", the three angles of every spherical triangle being greater than two right...
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Philosophical Transactions of the Royal Society of London, Volume 118

Mathematics - 1828
...usually employed on the continent, and is that of which I shall avail myself on the present occasion. The excess of the sum of the three angles of a spherical triangle above two right angles, termed the spherical excess, is useful to indicate the degree of reliance which may...
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