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" If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. "
Science Examination Papers - Page 243
by Great Britain. Education Department. Department of Science and Art - 1899
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Annual Report

1876 - 710 pages
...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 decagon. 3. Enunciate the propositions in...
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The Civil service manual for 1879 Government appointments and how to obtain them

Edwin T. Olver - 1879 - 158 pages
...manufactured. EUCLID. (OPTIONAL.)— Time allowed 1| hour. 1. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 2. In every triangle,...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...been drawn parallel to B C. QEF Proposition XXXII. Theorem. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle....
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...position an equilateral triangle. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a A, and let...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...sides of a triangle is less than the third side. Section II. 1. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Prove also that...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...ABC, so that DE is equal to the difference of BD and CE. 32. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. If the straight...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...and opposite angles. Prove this ; and say why it is necessary to do so, since it is afterwards shown that the exterior angle is equal to the two interior and opposite angles. 2. If a straight line meets two parallel straight lines, what do you know about the interior angles...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...of projection of the points of successive impacts. EUCLID. 1. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. A is the greatest...
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 pages
...another, the vertical, or opposite, angles shall be equal. (iv.) If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. (v.) Parallelograms...
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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 that AE = ED and that BE = EC. D PROP. XXXII. THEOREM. // a aide of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle,...
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