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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 - Page 13
by Euclides - 1853 - 147 pages
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...Again, in Prop. xv. it is evident that L AED = L BEC, since each has the same supplementary / AEC. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the erterior angle ii greater than either of the interior opposite angles. D Let the side BC of A ABC he...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...Prove in Prop. XV. that the angle CEB = the angle AED. 2. Prove each of the above Corollaries. PROP. XVI. • THEOREM. If one side of a triangle be produced,...greater than either of the interior opposite angles. Let ABC be a triangle, and let the side BG be produced toD. Then it is to i>e proved that The exterior...
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Papers for teachers

1880 - 594 pages
...-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 - 1486 pages
...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 - Euclid's Elements - 1880 - 426 pages
...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 - 152 pages
...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 - 176 pages
...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 - Euclid's Elements - 1881 - 236 pages
...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, Volume 4

Education, Higher - 1884 - 538 pages
...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 - 278 pages
...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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