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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 - Σελίδα 13
των Euclides - 1853 - 147 σελίδες
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1906
...of any triangle in marking out work, and the methods of are together equal to two right angles. 5. If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. RIGHT making angles of different degrees...

Introduction and books 1,2

Euclid - 1908
...generally given in the text-books as Corollary 2. 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. Let ABC be a triangle, and let one side of it BC be produced to D ; 5 I say that...

A School Geometry, Μέρη 1-4

Henry Sinclair Hall - 1908
...are equal in all respects. 24 THEOREM 8. [Euc. I. 16.] If one side of a triangle is produced, then the exterior angle is greater than either of the interior opposite angles. 28 COR. 1. Any two angles of a triangle are together less than two right angles. 29 COR. 2. Every triangle...

Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field

Jacob William Albert Young - 1911 - 416 σελίδες
...angles the two rays will be in the same line with 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 • leas than two...

Special Reports on Educational Subjects, Τόμοι 26-27

Great Britain. Board of Education - 1912
...and the included angle of another triangle, the triangles are equal in all respects. 2. Prove that if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. 3. From the angular points S, C of a triangle...

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912
...and the included angle of another triangle, the triangles are equal in all respects. 2. Prove that if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. 3. From the angular points B, C of a triangle...

Treasure

William Henry Williamson - 1915 - 376 σελίδες
...working at his lessons. George Harvey learnt axioms and postulates, how to demonstrate clearly that if one side of a triangle be produced the exterior angle is greater than the interior and opposite angle, and the two interior and opposite angles taken together are less than...

Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1922
...triangle whose sides are 11, 7, and 6 units long respectively. 2. Prove that, if one side of a triangle is produced, the exterior angle is greater than either of the interior opposite angles. The angle BAG is the greatest angle of the triangle ABC. Prove that, if the point D is taken in AB,...

The Atlantic Monthly, Τόμος 124

1919
...of age the old lady died, but not without leaving a profound impress on the future Proposition 16, "If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles." ' Concerning the attachment between the lad and his grandmother, — altogether unnatural from the...

The Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - 1997 - 512 σελίδες
...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...
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