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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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Elementary Geometry: Plane

James McMahon - Geometry, Plane - 1903 - 380 pages
...angles. Sum of two angles of a triangle. 128. THEOREM 24. When any side of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. Let the side AC of the triangle ABC be extended to E. E To prove that the exterior...
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Treatise on Elementary Geometry

William Chauvenet - 1905 - 336 pages
...angles of any triangle is equal to two right angles. Corollary. If one side of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. PROPOSITION XXVII. The sum of all the angles of any convex polygon is equal to twice...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1906
...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 and set squares are given,...
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The Student's Guide to Accountancy

Lawrence Robert Dicksee - Accounting - 1907 - 110 pages
...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 the following data : — (i.)...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908
...of this proof the following most important property has been established. If a side of a triangle is produced the exterior angle is equal to the sum of the two interior opposite angles. INFERENCES FROM THEOREM 16. 1. If A, B, and C denote the xumber of degrees in the...
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Practical Calculations for Engineers: For the Use of Engineering Students ...

Charles E. Larard, Henry Albert Golding - Engineering - 1909 - 558 pages
...beam 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 of any triangle is equal...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1032 pages
...the included angle of another triangle, the triangles are equal in all respects. 2. Prove that if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. 3. From the angular points S, C of a triangle ABC, perpendiculars BQ, CR are drawn...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912
...the included angle of another triangle, the triangles are equal in all respects. 2. Prove that if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. 3. From the angular points B, C of a triangle ABC, perpendiculars BQ, CB are drawn...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1912
...CX are joined. Prove that BY — CX. (14) C 6. Prove that, if a side of a triangle be produced, then the exterior angle is equal to the sum of the two interior opposite angles, and also that the sum of the angles of a triangle is equal to two right, angles. Calculate...
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Machinery's Handbook for Machine Shop and Drafting-room: A Reference Book on ...

1915 - 1446 pages
...which form the right angle. i _^ к 1 я aź = 4╗ + f'. Av If one side of a triangle is produced, then the exterior angle is equal to the sum of the two interior opposite angles. AV\ Angle D — angle A + angle B. 3SC If two lines intersect, then the opposite angles...
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