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" If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 35
by Benjamin Greenleaf - 1862 - 490 pages
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Field Engineering: A Handbook of the Theory and Practice of ..., Volumes 1-2

William Henry Searles, Howard Chapin Ives - Railroad engineering - 1919 - 738 pages
...vertical angle. And is perpendicular to the base. в I., XXV., Cor. 6.. If one side of a triangle is produced, The exterior angle is equal to the sum of the two interior and opposite angles. IV., XX I , XXVII . . If two triangles are mutually equiangular, They are similar....
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Annual Report

Saskatchewan. Department of Education - Education - 1910
...(c) What circumstances concurred to give the Midland Dialect predominance ? . GEOMETRY. 1. (a) 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 the triangle are together equal...
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The Symmetry of Sailing: The Physics of Sailing for Yachtsmen

Ross Garrett - Sports & Recreation - 1996 - 284 pages
...shows. Those who were made to learn Euclidean geometry in their youth may remember the teacher intoning 'the exterior angle is equal to the sum of the two interior opposite angles'. angle of 70. the lower limit to 100. Most boats will fall somewhere between these...
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Shop Reference for Students and Apprentices

Edward G. Hoffman, Christopher J. McCauley, Muhammed Iqbal Hussain - Electronic books - 2000 - 532 pages
...the right angle. a2 = b2 + c2 Geometrical Propositions If one side of a triangle is produced, then the exterior angle is equal to the sum of the two interior opposite angles. Angle D = angle A + angle B If two lines intersect, then the opposite angles formed...
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Key Maths: 8, Volume 8

David Baker - Mathematics - 2001 - 546 pages
...85) = 45 Then MS* the exterior angle = 180 - 45 angles on a straight line = 135 The link is: The exterior angle is equal to the sum of the two interior angles ie 135 = 50 + 85 Framework for teaching mathematics Year 7 Shape, space and measures Geometrical...
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Designing Experiments & Games of Chance: The Unconventional Science of ...

William R. Shea - Mathematics - 2003 - 374 pages
...angles of a triangle is equal to two right angles after realizing that if any side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite angles. This property follows from Proposition 29 of Book I, which uses the postulate of parallel...
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Euclid and His Modern Rivals

Lewis Carroll, Charles Lutwidge Dodgson - Mathematics - 2004 - 336 pages
...another ; nor can one approach and then recede from another while on the same side of it. 18. () If a side of a Triangle be produced, the exterior angle is equal to each of the interior opposite angles. [I. 32.] () The angles of a Triangle are together equal to...
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Calendar

University of St. Andrews - 1904
...on opposite sides of it. The line joining CD meets AB in E. Prove that CE is equal to DE. 14. If a side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles....
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A First Course of Geometry

130 pages
...prove that EX= EY. 3. Show that the line XEY (in No. 2) bisects the parallelogram. 38. PROP. 7. If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior opposite angles, and the three angles of every triangle are together equal to two right angles. Let...
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Sessional Papers, Volume 12

Canada - 1888 - 884 pages
...sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. 3. 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...
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