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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. "
Report on the examination for admission to the Royal military academy at ... - Pagina 19
di Woolwich roy. military acad - 1861
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The principles of psychology. stereotyped, Volume 2

Herbert Spencer - 1881
...case. therefore also the angles CBA, BAG, ACB, are together equal to two right angles. " Therefore if a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles. QED" Thus in each step by which the special conclusion is reached, as well as in the step taken from...
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The Cambridge Examiner, Volume 3

1883
...less than the other two sides of the triangle, but shall contain a greater angle. 6. If a side of a triangle be produced, the exterior angle is equal...angles of every triangle are equal to two right angles. Explain the term corollary. Enunciate and prove corollaries to the above. 7. The straight line joining...
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Guide to preliminary army examination

John Gibson - 1881
...equal, each to each, and also the third angle of the one equal to the third angle of the other. 4. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. 5. Describe a parallelogram that shall be equal to a given triangle...
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Works, Volume 3

Herbert Spencer - 1881
...foregoing theorem is inconveniently long. We shall find a fitter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced...
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The Cambridge Examiner, Volume 4

1884
...alternate segments of the circle. 9. Inscribe an equilateral asd equiangular quindecagon in a given circle. 10. If a side of any triangle be produced, the exterior...opposite angles, and the three interior angles of any triangle are together equal to two right angles. 11. The straight lines bisecting the angles at...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 pagine
...understood abbreviations for words may be used, but not symbols of operations, such as - , +, x .] 1. If a side of any triangle be produced, the exterior...opposite angles ; and the three interior angles of ev«*y triangle are together equal to two right angles. The base angle of an isosceles triangle is...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...through the same point, the least is that whose base is bisected in that point. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior...interior and opposite angles ; and the three interior anglet oj every triangle are together equal to two right angles. Let ABC be a triangle, and ).3t one...
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The Oxford examiner, ed. by M.W.I. Shilleto, Edizioni 1-5

Mary W I. Shilleto - 1882
...In Euclid's figure for this proposition, if BG, CF meet in H, show that AH bisects the angle BAG. 2. If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles. Enunciate and prove the corollaries to this proposition. Trisect a right angle. 3. If a straight line...
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The Practical Teacher, Volume 1,Edizione 1

1882
...base, etc.] 2. State the particular enunciation (only) of the twenty-seventh proposition of Book I. 3. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. Algebra. ¿=4, f =6. 2. Multiply ЬУ J^ + pr + o. 3. Solve the...
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The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - 1882 - 113 pagine
...another upon one side of it, are either two right angles, or are together equal to two right angles. 2. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. 3. The complements of the parallelograms which are about the diameter...
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