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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 together equal to two right angles. "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 24
von Euclides - 1856
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The Principles of Psychology, Band 2

Herbert Spencer - 1906 - 788 Seiten
...theorem is inconveniently long. We shall find a fitter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle is equal...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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Transactions, Band 31

Institution of Civil Engineers of Ireland - 1906
...abbreviations may be used, but the method of proof must be geometrical.] 1. If a side of a triangle is 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 side BC of a triangle...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1906
...of any triangle in marking out work, and the methods of are together equal to two right angles. 5. If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. RIGHT making angles of different degrees both with compasses...
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - 1906
...line and surface. Illustrate by reference to a cube. 2. (a) If a side of any triangle be produced, (1) the exterior angle is equal to the two interior and opposite angles; and (2) the three interior angles of the triangle are together equal to two right angles. — I. 32. (6)...
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The Student's Guide to Accountancy

Lawrence Robert Dicksee - 1907 - 110 Seiten
...How would you test, on your drawing board, the truth of a straight edge ? Q. 2* — Show that, if a side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. Q. 3. — Show how you would construct triangles, given...
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Calendar, Teil 3

University of Calcutta - 1907
...figures in the margin indicate full marks. 1. If u side of any triangle be produced, the exterior anirlo is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together eqnal to two right angles. The bisectors of the exterior...
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Introduction and books 1,2

Euclid - 1908
...assumption of the uniqueness of the parallel. PROPOSITION 32. In any triangle, if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of the triangle are equal to two right angles. Let ABC be a triangle, and let one side...
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Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1909
...also the third angle of the one equal to the third angle of the other. (Prop. 26.) If a side of any triangle be produced, the exterior angle is equal...the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. (Prop. 32.) Triangles on the same...
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Practical Calculations for Engineers: For the Use of Engineering Students ...

Charles E. Larard, Henry Albert Golding - 1909 - 558 Seiten
...would support a load equal to the reduced weight of the beam. CHAPTER II. TECHNICAL MENSURATION. IF any side of a triangle be produced, the exterior angle is equal to the sum of the two interior opposite angles. ^:A = ^B + ^C(fig. 1). The sum of the three interior angles...
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Annual Report of the Association of Ontario Land Surveyors, Band 17

Association of Ontario Land Surveyors - 1909
...angles are enual, these straio.ht lines are two and two in the same straio.ht line. 4. If a side of anv triangle be produced, the exterior angle is equal to the two interior and ormosite angles ; and the three interior angles of every triangle are together equal to two right angles....
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