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Books Books 121 - 126 of 126 on After remarking that the mathematician positively knows that the sum of the three....  
" After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles... "
Introduction and books 1,2 - Page 218
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Elements of Real Analysis

Shanti Narayan - Functions - 2007 - 312 pages
...false. Consider, for example, the following statements, some of which are true and some false : (/) The sum of the three angles of a triangle is equal to two right angles. (/'/') Every rectangle is a triangle, (ш) The sum of an opposite pair of angles of a cyclic...
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The Tests of Time: Readings in the Development of Physical Theory

Lisa M. Dolling, Arthur F. Gianelli, Glenn N. Statile - Science - 2003 - 716 pages
...geometrical figures have different properties on the different surfaces. On the sheet of paper the sum of the three angles of a triangle is equal to two right angles, on the egg, or the sphere, it is larger, on the saddle it is smaller. On the flat paper ...
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The Thirteen Books of Euclib's Elements.

Euclid - Geometry - 1925
...respectively, the sum of the angles of the whole triangle is (zR - o) + (zR - ft ) - zR = iR - (a + 0). III. If the sum of the three angles of a triangle is equal to two right angles, the same is true of all triangles obtained by subdividing it by straight lines drawn from a...
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From Euclid to Eddington: A Study of Conceptions of the External World

Edmund Whittaker - Science - 1949 - 212 pages
...could be replaced by the assertion that 'it is possible to divide space into equal cubes', or that 'the sum of the three angles of a triangle is equal to two right angles', or that 'a triangle exists similar to a given triangle but of arbitrary size '. Any one of...
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Texas School Journal, Volume 14

Schools - 1896
...GEOMETRY. i. What is Geometry? When are angles supplementary? When complementary? 2. Prove that the sum of the three angles of a triangle is equal to two right angles. 3. A straight line can not insersect the circumference of a circle in more than two places....
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The Growth of Physical Science

James Hopwood Jeans (Sir.) - Physics - 1947 - 364 pages
...the angle in a semicircle is less obvious. It is easy to prove it deductively if it is known that the sum of the three angles of a triangle is equal to two right angles, but otherwise not. And Thales is hardly likely to have known this; he did not think of an angle...
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