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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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Papers for teachers

1880
...-words may be used, but no symbols of operations, such as -, +, X, are admissible.) — I. Euc. L 7. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Any two exterior angles of a triangle are together greater than two right angles. THIRD (OR FOURTH)...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...are equal in all respects. Same proposition. Give corollaries. Propositions XVL-XXVI (inclusive). 18. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Same proposition. Show that only one perpendicular can be drawn from a given point to a given straight...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 Seiten
...number of straight lines meeting at one point, are together equal to four right angles. PROPOSITION 16. THEOREM. If one side of a triangle be produced, the exterior angle skull be greater than either of the interior opposite angles. Let ABC be a triangle, and let one side...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...to the two interior and opposite angles. (Compare this with Euc. I. 16, page 56, which proves that the exterior angle is greater than either of the interior opposite angles.) Particular Enunciation. Given. — The triangle ABC, having the side AC produced to D. Required —...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 Seiten
...operations, such as - , +, x .] 1. Find a point which is equidistant from the angles of a given triangle. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...angles be bisected, the bisecting lines are in one and the same straight line. PROP. XVI. THEOREM. If me side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D. The exterior angle A CD is greater than either...
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The Cambridge Examiner, Band 4

1884
...greater angle of every triangle has the greater side opposite to it. 3. In any triangle, if one side be produced, the exterior angle is greater than either of the interior opposite angles. 4. In a right-angled triangle if the square on one of the sides containing the right angle be three...
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Class lessons on Euclid

Marianne Nops - 1882
...straight lines meeting at one point are together equal to four right angles. PROPOSITION XVI., THEOREM 9. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let BC, a side of A ABC, be produced to D. The L ACD shall be greater than either Z. CAB or /_ ABC. Bisect...
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The Cambridge Examiner, Band 2

1882
...together equal to two right angles, these two straight lines are in one and the same straight line. 6. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 7. The greater side of every triangle is opposite to the greater angle. 8. Place a straight line of...
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The Competitor, Bände 3-4

1883
...between the angles which the line drawn across makes with the two parallel straight lines. 4. 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, and that the three angles of every triangle...
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