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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 Element of Geometry - Page 13
by John Playfair - 1836 - 114 pages
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...is drawn through the given point A, parallel to the given straight line BC. PROPOSITION 32. THEOREM If a side of any triangle be produced, the exterior...interior angles of every triangle are equal to two riglit angles. Let ABC be a triangle, and let one of its sides BC be produced to D; then the exterior...
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - Examinations - 1899 - 348 pages
...the triangles ADFand AEG are equal in area. (12.) 9. If the side of a triangle be produced, show that the exterior angle is equal to the two interior and opposite angles ; and that the three interior angles are equal to two right angles. Show that the exterior angles of any...
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Annual Report

Canada. Department of the Interior - 1900 - 570 pages
...the road. Marks. 12 12 12 12 12 14 12 14 PLANE GEOMETRY. Time, 3 hours. , Marks. 1. If a side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are together equal to two right angles. 1 2. Prove that in a right angle triangle the square on the hypotenuse...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 380 pages
...at a given point, and the extremities of the other diagonal on a given straight line. 3. Prove that if a side of any triangle be produced, the exterior...equal to the two interior and opposite angles, and that the three interior angles of every triangle are together equal to two right angles. From a vertex...
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 4

Education - 1902 - 678 pages
...shall be less than the other two sides of the triangle, but shall contain a greater angle. (4) If 'he side of any triangle be produced, the exterior angle...and opposite angles ; and the three interior angles are together equal to two right angles. (5) Show how to describe a parallelogram which shall be equal...
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Manual

1903 - 896 pages
...prove that the twostraight lines are parallel. 6. If a side of any triangle be produced, pi-ove that the exterior angle is equal to the two interior and opposite angles, and that the three interior angles of the triangle are equal to two light angles. 7. Draw any triangle...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1906 - 788 pages
...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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Transactions, Volume 31

Institution of Civil Engineers of Ireland - Civil engineering - 1906 - 336 pages
...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 the three interior angles of every triangle are together equal to two right angles. If the side BC of a triangle ABC is produced both ways, and the...
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - Education - 1906 - 188 pages
...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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Calendar, Part 3

University of Calcutta - 1907 - 446 pages
...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 angles of any quadrilateral form...
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