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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 together equal to two right angles. "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 24
von Euclides - 1856
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The Unfinished Mechanics of Giuseppe Moletti: An Edition and English ...

Giuseppe Moleti, Walter Roy Laird - 2000 - 252 Seiten
...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 interior and opposite angles, and the three interior angles of the triangle are equal to two right angles' (Euclid, Elements, 1.32, tr. Heath,...
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The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Mathematical Association, Mathematical Association of America - 2003 - 572 Seiten
...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 interior and opposite angles, and the three interior angles of the triangle are equal to two right angles. Prop. 38: Triangles which are on equal...
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Euclid and His Modern Rivals

Lewis Carroll, Charles Lutwidge Dodgson - 2004 - 336 Seiten
...another ; nor can one approach and then recede from another while on the same side of it. 18. («) If a side of a Triangle be produced, the exterior angle is equal to each of the interior opposite angles. [I. 32.] (§) The angles of a Triangle are together equal to...
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The Cambridge Companion to Kant and Modern Philosophy

Paul Guyer, Jonathan Nelson Professor of Humanities and Philosoph Paul Guyer - 2006 - 760 Seiten
...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 interior and opposite angles, and the three interior angles of the triangle are equal to two right angles." Euclid, Elements, p. 316. 28. Because...
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