| Victor J. Katz - Mathematics - 2000 - 261 pages
...Heath (1861-1940, English) of Heiberg's text: Proposition 32. In any triangle, if one of the sides **be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of** the triangle are equal to two right angles. B D FIGURE 2 The figure is a little different from the... | |
| Giuseppe Moleti, Walter Roy Laird - History - 2000 - 222 pages
...right angle' (Euclid, Elements, 3.31, tr. Heath, 2:61-5). 64 'In any triangle, if one of the sides **be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of** the triangle are equal to two right angles' (Euclid, Elements, 1.32, tr. Heath, 1:316-22). 65 'If two... | |
| L. Magnani - History - 2001 - 249 pages
...universally valid solution of the problem (Kant, 1929, A716-B744, pp. 578-579)." PROP. XXX11. THEOR. 1f **a side of any triangle be produced, the exterior angle is equal to the two** interiar and oppasite angles ; and the three interior angles af eDery triangle are equal to two right... | |
| L. Magnani - History - 2001 - 256 pages
...A716-B744, pp. 578-579).13 PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle if **equal to the two interior and opposite angles ; and the three interior angles of every triangle are** equal to tico right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... | |
| Mathematical Association, Mathematical Association of America - Mathematics - 2003 - 541 pages
...exterior angles on the same side equal to two right angles. Prop. 32: In any triangle, if one of the sides **be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of** the triangle are equal to two right angles. Prop. 38: Triangles which are on equal bases and in the... | |
| Paul Guyer, Jonathan Nelson Professor of Humanities and Philosoph Paul Guyer - History - 2006 - 722 pages
...exhibit their concepts in intuition actually to think them. 27. "In any triangle, if one of the sides **be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of** the triangle are equal to two right angles." Euclid, Elements, p. 316. 28. Because of space limitations,... | |
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