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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. "
Elements of Geometry and Conic Sections - Page 30
by Elias Loomis - 1857 - 226 pages
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 358 pages
...this as follows: " 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." This states more than is necessary for the basal fact...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...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 to AC, AB, intersecting...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...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 to AC, AB, intersecting...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1912 - 300 pages
...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 - 1436 pages
...which form the right angle. i _^ к 1 я a« = 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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Field Engineering: A Handbook of the Theory and Practice of Railway ...

William Henry Searles, Howard Chapin Ives - Railroad engineering - 1919 - 726 pages
...bisects the base, It bisects the vertical angle. And is perpendicular to the base. в I., XXV., Cor. 6.. If one side of a triangle is produced, The exterior...to the sum of the two interior and opposite angles. « IV., XX I , XXVII . . If two triangles are mutually equiangular, They are similar. And their corresponding...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1922 - 204 pages
...approximate area of a triangle whose sides are 11, 7, and 6 units long respectively. 2. Prove that, if one side of a triangle is produced, the exterior angle is greater than either of the interior opposite angles. The angle BAG is the greatest angle of the triangle...
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Kent's Mechanical Engineers' Handbook, Volume 1

William Kent - Mechanical engineering - 1923 - 1450 pages
...isosceles triangle bisects the base, lisects the vertical angle and is perpendicular to the base. I one side of a triangle is produced, the exterior angle is equal to the sum [he two interior and opposite angles. f two triangles are mutually equiangular, they are similar and...
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The Teaching of Geometry in Schools: A Report Prepared for the Mathematical ...

Mathematical Association - Geometry - 1923 - 88 pages
...straight line. I. 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. I. 47 : In right-angled triangles the square on the side...
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Field Engineering: A Handbook of the Theory and Practice of Railway ...

William Henry Searles - Railroad engineering - 1925 - 770 pages
...bisects the base, It bisects the vertical angli And is perpendicular to i li base. 8 L, XXV., Cor. 6.. If one side of a triangle is produced, The exterior angle is equal t the sum of the two interio and opposite angles. IV., XX I , XXVII .... If two triangles are mutually...
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