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" If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 13
von Euclides - 1853 - 147 Seiten
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Tradition, Transmission, Transformation: Proceedings of Two Conferences on ...

F. Jamil Ragep, Sally P. Ragep, Steven John Livesey - 1996 - 591 Seiten
...the three propositions quoted by Thabit b. Qurra. Theorem I,16: In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and opposite angles.35 Table I 36 35 Heath [1956], vol. l,p. 279. 36 Since Thabit omitted here the...
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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - 1997 - 344 Seiten
...line. Let us briefly consider, for example, Proposition I 16: In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and opposite angles. A precis of Euclid's proof runs as follows. Let ABC (Figure 2.2) be the given...
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A Course in Modern Geometries

Judith Cederberg - 2004 - 441 Seiten
...another, they make the vertical angles equal to one another. 16. In any triangle if one of the sides be produced, the exterior angle is greater than either of the interior and opposite angles. 17. In any triangle two angles taken together in any manner are less than two...
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The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Mathematical Association, Mathematical Association of America - 2003 - 541 Seiten
...they make the vertical angles equal to one another. Prop. 16: In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and opposite angles. Prop. 19: In any triangle the greater angle is subtended by the greater side....
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