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" The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC... "
An Elementary Treatise on Plane and Solid Geometry - Page 138
by Benjamin Peirce - 1871 - 150 pages
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The World of Mathematics: A Small Library of the Literature of ..., Volume 3

James Roy Newman - Mathematics - 1956 - 628 pages
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String Figures: And Other Monographs

Walter William Rouse Ball - Geometry - 1960 - 536 pages
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The Eye, Volume 4

Hugh Davson - Eye - 1962 - 468 pages
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Mathematics and Logic in History and in Contemporary Thought

Ettore Carruccio - Logic - 1964 - 408 pages
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The Circular Functions

Clayton W. Dodge - Geometry, Plane - 1966 - 200 pages
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An Introduction to the History of Mathematics

Howard Eves - Mathematics - 1969 - 488 pages
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The Harvard University Catalogue

Harvard University - 1876 - 324 pages
...opposite to it in the other. 8. Any side of a spherical triangle is less than the sum of the other two. 9. The sum of the angles of a spherical triangle is greater than two and less than six right angles. 10. The volume of a spherical pyramid is equal to the area of its base...
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Empiricism, Logic and Mathematics: Philosophical Papers

Hans Hahn - Science - 1980 - 167 pages
...whose sides are arcs of great circles, and it is a well-known proposition of elementary geometry that the sum of the angles of a spherical triangle is greater than 1 80 degrees, and that the excess over 180 degrees is greater the larger the surface area of the triangle....
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ASM Handbook of Engineering Mathematics

Mamerto L. Chu, American Society for Metals - Mathematics - 1983 - 720 pages
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Basic Concepts of Geometry

Walter Prenowitz, Meyer Jordan - Mathematics - 2012 - 380 pages
...the only possible definition. It is interesting to note that in Euclidean three-dimensional geometry, the sum of the angles of a spherical triangle is greater than 180°, and the area of a spherical triangle is denned to be its "excess," that is, the sum of the degree...
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