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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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The Civil service year book and official calendar

1884
...superficies," " a scalene triangle," " parallel straight lines." What is (1) a Postulate, (2) an Axiom ? 2. If any 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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Cambridge University Examination Papers

University of Cambridge - 1884
...satisfy this condition ? 2. Any two sides of a triangle are together greater than the third side. 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 equal to two...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...with regard to the sum of the angles of the triangle ABC. 75. PROPOSITION XXXII. — THEOREM. If a side of a triangle be produced, the exterior angle is equal to the two opposite interior angles ; and the interior angles of every triangle are together equal to two...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...perpendicular to a given straight line of unlimited length, from a given point without it. 2. 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 are equal to two right angles. If ABC...
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Annual report of the State Board of Health of Illinois. 1885

1885
...are together equal to two right angles. Draw diagram and demonstrate. 8. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and remote angles; and the sum of the three interior angles of every triangle is equal to two right angles....
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Annual Report of the Illinois State Board of Health, Volume 7

Illinois State Board of Health - Public health - 1885
...together equal to two right angles. Draw diagram and demónstrate. 8. If one side of a triangle Is produced, the exterior angle Is equal to the sum of the two interior and remote angles; and the sum of the three interior angles of every triangle is equal to two right angles....
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Euclid and His Modern Rivals

Lewis Carroll - Geometry - 1885 - 318 pages
...another ; nor can one approach and then recede from another while on the same side of it. 18. (a) If a side of a Triangle be produced, the exterior angle is equal to each of the interior opposite angles. [I. 32.] (b) The angles of a Triangle are together equal to two...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 331 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 polygon is equal to twice as many...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 332 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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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...sides also which Bubtand, 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 twointerior and opposite angles; and the three interior angles of every triangle aretogether equal...
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