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Books Books 1 - 5 of 5 on Riemann's geometry, the sum of the angles of a triangle is always greater than two....  
" Riemann's geometry, the sum of the angles of a triangle is always greater than two right angles. "
Lectures on Fundamental Concepts of Algebra and Geometry - Page 34
by John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - 1911 - 247 pages
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LECTURES ON FUNDAMENTAL CONCEPTS OF ALGEBRA AND GEOMETRY

JOHN WESLEY YOUNG - 1911
...be extended indefinitely. It involves the assumption that a line is finite in length. In Riemann' s geometry, the sum of the angles of a triangle is always...forming a limiting case, as it were, for both of them. Resume. — It is not our purpose to study the various geometries in detail. We shall be satisfied...
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Unapologetic Theology: A Christian Voice in a Pluralistic Conversation

William Carl Placher - Religion - 1989 - 178 pages
...straight line parallel to the original line could be drawn through a point not on the line. The sum of the angles of a triangle is always greater than two right angles, the ratio of the circumference of a circle to its diameter is always less than pi. You can draw more...
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Mathematics - The Music of Reason

Jean Dieudonne - Mathematics - 1992 - 287 pages
...great circles of E, that is to say, the semi-ellipses whose major axis is a diameter of LI, and the sum of the “angles” of a “triangle” is always greater than two right angles. Another example is the definition of lengths on what is known as the “flat torus”. A “crude”...
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A Smoother Pebble : Mathematical Explorations: Mathematical Explorations

Davis (Emeritus) Donald C. Benson Professor of Mathematics University of California - Mathematics - 2003 - 280 pages
...of great circles must intersect. There are no "parallel lines." As seen in Figure 4.9, in elliptic geometry the sum of the angles of a triangle is always greater than 180°. 78 Figure 4.14. Spherical model for elliptic geometry. We will verify just one axiom, the incidence...
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From Euclid to Eddington: A Study of Conceptions of the External World

Edmund Whittaker - Science - 1949 - 212 pages
...All straight lines return into themselves, and are of the same length, and space is finite. The sum of the angles of a triangle is always greater than two right angles, the excess being proportional to the area of the triangle, exactly as with triangles formed by great...
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