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 together equal to two right angles. The Element of Geometry - Page 13by John Playfair - 1836 - 114 pagesFull view - About this book
 | Giuseppe Moleti, Walter Roy Laird - History - 2000 - 252 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... | |
 | Lorenzo Magnani - History - 2001 - 284 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 - Gardening - 2001 - 280 pages
...and universally valid solution of the problem (Kant, 1929, 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... | |
 | Mathematical Association of America - 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... | |
 | 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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