 | G.E. Martin - 1997 - 536 Seiten
...the vertical angles equal to one another. (Theorem 14.11) 16. In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and opposite angles. (Theorem 17.9) 17. In any triangle two angles taken together in any manner are... | |
 | Daniel Pedoe - 1988 - 468 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 right... | |
 | Saul Stahl - 1993 - 320 Seiten
...students' memory, Euclid's proof is summarized below. Proposition 16. In any triangle, if one of the sides be produced, the exterior angle is greater than either of the interior and opposite angles. PROOF: Let ABC be a triangle, and let one side of it BC be produced to D (Fig.... | |
 | 1903 - 960 Seiten
...numbers is 13, the difference of their squares is 39. Find the numbers. SECOND PAPEK. EUCLID. 2. I f any side of a triangle be produced, the exterior angle is greater than either of the interior non-adjacent angles. 1. Prove that, it at a point in a right liiic, two other right lines on opposite... | |
 | Troels Kardel - 1994 - 270 Seiten
...respectively, namely those which the equal sides subtend. 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. I. 18. In any triangle the greater side subtends the greater angle. I. 20. In... | |
 | James Clerk Maxwell - 1990 - 836 Seiten
...and annotations on the flyleaf by Maxwell, is in Maxwell's library (Cavendish Laboratory, Cambridge). (Theorem) ' If one side of a triangle be produced,...exterior angle is greater than either of the interior, and opposite angles' (Elements: 20). the angle ADB (Prop. 5). Upon AB describe a segment of a circle... | |
 | F. Jamil Ragep, Sally P. Ragep, Steven John Livesey - 1996 - 634 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... | |
 | Howard Whitley Eves - 1997 - 370 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... | |
 | Judith Cederberg - 2004 - 472 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... | |
 | Chris Pritchard - 2003 - 572 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.... | |
| |
If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
