 | Lorenzo Magnani - History - 2001 - 284 pages
...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 - Gardening - 2001 - 280 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... | |
 | Chris Pritchard - Mathematics - 2003 - 572 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... | |
 | Richard Fitzpatrick - Mathematics - 2005 - 298 pages
...one of the sides is produced, the external angle is greater than each of the internal and opposite angles. Let ABC be a triangle, and let one of its sides BC have been produced to D. I say that the external angle AC D is greater than each of the internal and... | |
 | Paul Guyer - History - 2006 - 760 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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IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 
