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" Any exterior angle of a triangle is equal to the sum of the two opposite interior angles. "
Elements of Geometry, Theoretical and Practical: Containing a Full ... - Page 62
by George Clinton Whitlock - 1848 - 324 pages
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The British Critic: A New Review, Volume 6

English literature - 1816 - 696 pages
...science to which you have lately begun to turn yourattention. You have learnt to prove that the exterior angle formed by producing one of the sides of a triangle, is. greater than either of the interior opposite angles. From superior knowledge on this subject, and a...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - Geometry - 1846 - 216 pages
...equal to the third angle of the other. 134. The exterior angle of a triangle, that is, the angie made by producing one of the sides of a triangle, is equal to the sum of the two opposite interior angles, (fig. 88.) Angle ACD = angle ABC + angle CAB. Dem. ACD + ACB = 2 RA ; ABC + CAB +...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...greater than the remaining angle ACB of the triangle ACB. THEOREM vI. The exterior angle, formed ly producing one of the sides of a triangle, is equal to the sum of the two interior and opposite aaigles of the triangle. In the. triangle ABC, if the side AB be produced...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 474 pages
...triangle ADB, must be greater than the remaining angle ACB of the triangle ACB. THEOREM VI. The exterior angle, formed by producing one of the sides of a triangle, is equal to the sum of the two interior and opposite angles of the triangle. In the triangle ABC, if the side AB be produced...
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Report of the Superintendent of Public Instruction

Michigan. Department of Public Instruction - Education - 1893 - 564 pages
...simplest manner you can conceive. GEOMETRY. Demonstrate the following propositions: 1. Any exterior angle of a triangle is equal to the sum of the two opposite interior angles. 2. If the squares of the sides of a quadrilateral are together equivalent to the squares...
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Graded Course of Instruction for the Public Schools of Chicago

Chicago (Ill.). Board of Education - Elementary schools - 1872 - 130 pages
...a=db=ec=c d-{-e+c=a + b + c, or a flat angle, or two right angles. THEOREM II.—The exterior angle of a triangle is equal to the sum of the two opposite interior angles. g + d= 2 right angles. c+d+e=^2 right angles. g+d=c+d+c. In the following figures,...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...right angles, or two thirds of one right angle. PROPOSITION XXII. THEOREM. 105. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. B 6' Let ECU "be an exterior angle of the triangle ABC. We are to prove Z BCH = ZA...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...right angles, or two thirds of one right angle. PROPOSITION XXII. THEOREM. 105. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. л— — Let BC H be an exterior angle of the triangle ABC. We are to prove ZB СH...
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Wentworth & Hill's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1884 - 264 pages
...II. The sum of the acute angles of a right triangle is equal to 90°. 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 33. Theorem. The sum of the angles of a quadrilateral is equal to 360°. 34. Theorem....
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...the angles ECD, BCE, and ACB, which is two right angles by § 33. 71. COROLLARY I. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. For, Z BCD = Z ECD + Z BCE = ZA + ZB. 72. COROLLARY II. If the sum of two angles of...
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