 | Anna Cabot Lowell - 1846 - 206 σελίδες
...other. 134. The exterior angle of a triangle, that is, the angve 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 -f ACB = 2 RA; therefore... | |
 | George Clinton Whitlock - 1848 - 338 σελίδες
...Triangle is equal to a right angle Cor. 8. The external angle formed by producing one of (94) the sides of a triangle, is equal to the sum of the two opposite internal angles. Let a, b, c, be the three angles of any triangle, and с adjacent to the external... | |
 | Michigan. Department of Public Instruction - 1893 - 564 σελίδες
...done in the 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 of the diagonals,... | |
 | Chicago (Ill.). Board of Education - 1872 - 130 σελίδες
...right angles. 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, mark and name angles.... | |
 | Edward Olney - 1872 - 472 σελίδες
...formed by any side with its adjacent side produced, as CBD, Fig. 174. PROPOSITION IT* 231. TJteorem. — An exterior angle of a triangle is equal to the sum of the two interior non-adjacent angles. DEM. — Let ABC be any triangle, and CBD an exterior angle;... | |
 | Edward Olney - 1872 - 562 σελίδες
...formed by any side with its adjacent side produced, as CBD, Fig. 174. PROPOSITION IT. 231. TJieorem. — An exterior angle of a triangle is equal to the sum of the two interior non-adjacent angles. DEM. — Let ABC be any triangle, and CBD an exterior angle;... | |
 | L J V. Gerard - 1874 - 428 σελίδες
...ABC [II. 21]: therefore the three angles are together equal to two right angles, WWTBD COROLLARY I. An exterior angle of a triangle, is equal to the sum of the two oppositeinterior angles. COROLLARY II. If two angles of a triangle be equal to two angles of... | |
 | George Albert Wentworth - 1877 - 436 σελίδες
...one third of two 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. a Let BC H be an exterior angle of the triangle ABC. We are to prove Z BCH= Z. A + ZB Z. B С 11+ Z... | |
 | Edward Olney - 1877 - 272 σελίδες
...an angle formed by any side with its adjacent side produced, as CBD, Fig. 174. PROPOSITION IV. 231. Theorem. — An exterior angle of a triangle is equal to the sum of the two interior non-adjacent angles. . 174. DEM. — Let ABC be any triangle, and CBD an exterior... | |
 | George Anthony Hill - 1880 - 348 σελίδες
...53) ? Therefore, m = a -\- c (Axiom I.). That is, — Theorem. — An exterior angle of Fiff- **• a triangle is equal to the sum of the two opposite interior angles. Exercises.- — 1. Find the exterior angle of a triangle if the opposite interior angles are 38° 35'... | |
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An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 
