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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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The Teachers' assistant and pupil teachers' guide, Band 1

1876
...rhombus each of whose sides is equal to that line, by the method employed in the first proposition. 2. If one side of a triangle be produced ; the exterior angle is greater than either of the interior and opposite angles. Prove this for both the interior angles. COMPOSITION.— Write notes of a lesson...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 Seiten
...any number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVL THEOREM. If one side of a triangle be produced, the exterior angle is greater than tither of the interior opposite angles. Let ABCbe a triangle, and let the side .BCbe produced to D....
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SYLLABUS OF PLANE GEOMETRY

1876
...Superposition.] COR. If a triangle is equiangular, it is also equilateral. IHEOR. 9. If any side of a triangle is produced, the exterior angle is greater than either of the interior opposite angles. IHEOR. io. The greater side of every triangle has the greater angle opposite to it. IHEOR. n. The greater...
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Annual Report

1876
...two straight lines cut each other show that the opposite vertical angles are equal to each other. 2. If one side of a triangle be produced the exterior angle is equal to the two interior and opposite angles. How many degrees are there in the angle of an equilateral...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 Seiten
...angles be included in any other angle. Make AE =. EC. and ./BAE ± EC'F. S-/BAK. Proposition 16. — Theorem. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles. Let ABC be a triangle, and let its side...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel straight lines towards the...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Band 21

1877
...straight line joining their vertices, produced if necessary, cuts the common base at right angles. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. If all except two of the sides of a polygon be produced in order, the sum of the exterior angles thus...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...other, the straight lines joining their extremities are all equal. PROPOSITIOX XVI. THEOREM. If one tide of a triangle be produced the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle of which one side BC is produced to D ; then shall the exterior angle A CD be greater...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...right angles, provided that no one of the angles be included in any other angle. Proposition 16.— Theorem. If one side of a triangle be produced, the exterior angle shall lie greater than either of the interior opposite angles. Let ABC be a triangle, and let its side...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1878 - 349 Seiten
...shew hereafter, p. 149, how this definition may be extended, so as to embrace angles greater than two right angles. PROPOSITION XVI. THEOREM. If one side...greater than either of the interior opposite angles. D Let the side BC of AA fiC be produced to D. Then must L ACD be greater than either L CAB or L ABC....
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