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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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Minutes of the General Council of Medical Education & Registration ..., Volume 6

General Medical Council (Great Britain) - 1869
...for your answer. 5. What is the common modern classification of Duties ? HIGHER MATHEMATICS. 1. 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 together equal...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 16 pages
...the two given 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....
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The Elements of Plane and Spherical Trigonometry ...

Alfred Challice Johnson - Spherical trigonometry - 1871
...parallel straight 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 interior and opposite angles; and the three interior angles are equal to two right angles, or 180....
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 238 pages
...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 is 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...
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The first and second books of Euclid explained to beginners, by C.P. Mason

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

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...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 is 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...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...Scholium. This proposition is restricted to the case where the side EF lies in the same direction with BC, since if FE were produced toward H, the angles DEH,...ABC would only be equal when they are right angles. THEOREM XIX. Let ABC be any triangle ; then will the sum of the angles ABC, B CA, CA B be equal to...
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Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra

Lewis Sergeant - 1873
...Case 3 ; when G is on DB. Here it is plain that EC cannot be equal to BD. Proposition 14. — Theorem. If any side of a triangle be produced, the exterior angle is greater than eitlier oftlie two interior and opposite angles. If the side BC of the triangle ABC be...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...Scholium. This proposition is restricted to the case where the side EF lies in the same direction with BC, since if FE were produced toward H, the angles DEH,...ABC would only be equal when they are right angles. THEOREM XIX. Let ABC be any triangle ; thon will the sum of the angles ABC, B CA, CABbe equal to two...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...i) Hence ^4 C is = DB. Also iACBis = L DBC, and .-. AC is \\ to BD. (i. 20) PROPOSITION XXIV. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; also the three interior angles of every triangle are together equal...
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