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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 equal to two right angles. "
The Teaching of Geometry - الصفحة 182
بواسطة David Eugene Smith - 1911 - عدد الصفحات: 339
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870
...GROUP C. . FRIDAY, July 8, 1870. 11^ to 2. (ZBucltJj anto ©omc Sections. 1. IP a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. The sides AS, AC of a triangle ABG are produced...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...fyC.3&2,P.29. 2 3 P. 4. Cor. P. 15. PROP. 32. — THEOB. — (Very Important.) If a side of any triangle lie produced, the exterior angle is equal to the two interior...opposite angles, and the three interior angles of every triangle are together equal to two right angles. Cos. — P. 31. To draw a st. line, through...

An Elementary Course of Plane Geometry

Richard Wormell - 1870 - عدد الصفحات: 16
...sides. Through the extremities draw lines parallel to the sides of the angle. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three angles of a triangle are together equal to two right-angles. 125. Let the side AC of the triangle ABC...

Elements of geometry, containing the first two (third and fourth ..., الجزء 1

Euclides - 1871
...lines in B and C, so that BC may be equal to a given straight line. 4—2 If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of every triangle are together equal to two right angles. J> Let ABC be a A , and let one of its sides,...

The Elements of Plane and Spherical Trigonometry ...

Alfred Challice Johnson - 1871
...lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle be produced, the exterior angle is equal to the two...and opposite angles; and the three interior angles are equal to two right angles, or 180°. (Eue. I, 32.)' 7. The square upon the hypotheneuse of a right-angled...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - عدد الصفحات: 58
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angk is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. produced io D ; then will the ex cerior angle ACD be...

Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876
...that BC may be equal to a given straight line. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of every triangle are together equal to two right angles. J> Let ABO be a A , and let one of its sides,...

Annual Report

1876
...other show that the opposite vertical angles are equal to each other. 2. If one side of a triangle be produced the exterior angle is equal to the two interior and opposite angles. How many degrees are there in the angle of an equilateral decagon. 3. Enunciate the propositions in...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - عدد الصفحات: 349
...straight line. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle it equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. Let ABC be a A , and let one of its sides, BC,...

Report of Her Majesty's Civil Service Commissioners: Together ..., المجلد 22

1878
...TRIGONOMETRY. Time allowed, 4 hours. [ Tables of Logarithms were supplied."] If a side of a triangle be produced the exterior angle is equal to the two...and opposite angles, and the three interior angles are together equal to two right angles. ABC is a triangle ; from A draw a perpendicular to AB, from...




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