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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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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870
...(ZBucltJj anto İomc Sections. 1. IP 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. The sides AS, AC of a triangle ABG are produced to E, F and the...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...a given straight line. 4—2 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. J> Let ABC be a A , and let one of its sides, BC, be produced to...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872
...namely, ODE and DOB, are equal, the lines E Fand AB are parallel. (Prop. XXVII.) PROPOSITION XXXTT. If a side of a triangle is produced, the exterior angle...opposite angles; and the three interior angles of a triangle are together equal to two right angles. For the construction employed in this proposition...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 238 pages
...triangle is equal to one third of two right angles, or two thirds of one right angle. 39, Cor. 6. If fmy side of a triangle is produced, the exterior angle...equal to the sum of the two interior and opposite. THEOREM VIII. 40, If two triangles have two sides and the included angle of the one respectively equal...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...triangle is equal . to one third of two right angles, or two thirds of one right angle. 39. Cor. 6. If any side of a triangle is produced, the exterior angle...equal to the sum of the two interior and opposite. THEOREM VIII. 40. If two triangles have two sides and the included angle of the one respectively equal...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...line. PROPOSITION XXXII. THEOREM. If a side of any triangle le 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. Let ABC be a A , and let one of its sides, BC, be produced to D....
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...cannot have more than one angle as great as a right angle. 72. Cor. 4. If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. THEOREM XX. Let ABCDE be any polygon ; then the sum of all its interior angles, A, B, C, D, E, is equal...
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Freemasonry: Its Symbolism, Religious Nature, and Law of Perfection

Chalmers Izett Paton - Freemasonry - 1873 - 484 pages
...having been demonstrated that the three angles of a triangle are equal to two right angles ; or that if one side of a triangle is produced, the exterior angle is equal to the interior and opposite, or, according to the 47th proposition of the First Book of Euclid, the figure...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1873
...one in Proposition xxxii. " If the side of any triangle be produced, tho 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. " Let ABC be a triangle, and let one of its sides BC be produced...
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The Principles of psychology, Volume 2

Herbert Spencer - 1873
...one in Proposition xxxii. " If the 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. " Let ABC be a triangle, and let one of its sides BC be produced...
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