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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 Elements of Euclid [book 1] for beginners, by J. Lowres - Page 20
by Euclides - 1852
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...BOK, (Const. ) therefore MN is parallel to AB. (I. 20.) QE jr. PUOP. XXIII.— THEOREM. (Euc. I. 32.) If one side of a triangle be produced, the exterior angle is eqiml to the two interior and remote angles ; and the three interior angles of every triangle are together...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...the base, equal to one another, and likewise those which are terminated in the other extremity. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 3. Any two exterior angles of a triangle are together greater than two right angles. PDPIL TEACHERS...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...definition may be extended, so as to embrace angles greater than two right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior...angle is greater than either of the interior opposite anglet. Let the side BC of A ABC be produced to J>. Then must L ACT) be greater than either L CAB or...
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...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 - Geometry - 1876 - 446 pages
...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: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...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 - 710 pages
...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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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 21

1877 - 678 pages
...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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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...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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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...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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