| Troels Kardel - 1994 - 252 sider
...together in any manner are greater than the remaining one. I. 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. I. 34. In parallelogrammic areas the opposite sides and... | |
| John R Cole - 1995 - 349 sider
...historique et critique, 3d ed. (Rotterdam, 1720), sv "Pascal." 5. "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." 6. VMP, 13-15. There is no independent confirmation of... | |
| Peter Machamer - 1998 - 462 sider
...scientific demonstrations. Using Proclus's analysis of Euclid I, 32 [In any triangle, if one of the sides **be produced, the exterior angle is equal to the two...and opposite angles, and the three interior angles** are equal to two right angles) as an example for a noncausal demonstration he claimed it could not... | |
| Douglas M. Jesseph - 1999 - 419 sider
...an opinion on the topic, is Euclid's proof of the theorem that "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" (Elements 1, prop. 32). The theorem is, obviously enough,... | |
| Nick Huggett - 1999 - 274 sider
...the given straight line BC. QEF 8 c ^O Figure 2.5 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. [Fig. 2.5] Let ABC be a triangle, and let one side of it... | |
| Reinhard Laubenbacher, David Pengelley - 2000 - 278 sider
...Euclid's theorem on the angle sum of triangles. 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. Let ABC be a triangle, and let one side of it BC be produced... | |
| Giuseppe Moleti, Walter Roy Laird - 2000 - 222 sider
...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... | |
| Victor J. Katz - 2000 - 261 sider
...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... | |
| L. Magnani - 2001 - 249 sider
...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 - 2001 - 256 sider
...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...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 exterior... | |
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