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Libros Libros 11 - 20 de 160 sobre To prove that the exterior angle of a triangle is equal to the sum of the two interior...
" To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig. "
A complete system of mensuration, with additions by J. Trotter - Página 144
por Alexander Ingram - 1851
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Practical Astronomy and Geodesy: Including the Projections of the Sphere and ...

John Narrien - 1845 - 427 páginas
...the angle s' EH is equal to twice the angle AFB or OAF, produce FB to K, and FA to M : then because the exterior angle of a triangle is equal to the sum of the interior and opposite angles (Euc. 32. 1.), the angle ABK = BAF + AFB; whence 2 ABK = 2 BAF +2...
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First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

Alpheus Crosby - 1847 - 164 páginas
...aABC + aACB = AmL? M. .-. ACD 4- ACS xa BAG + ABC -j- ACS ? 20. a. ACD *w BAC + ABC ? XXII. A COR. Any exterior angle of a triangle is equal to the sum of the two interior opposite angles. It is of course greater than either singly. Draw CE ]| BA, and prove the same from...
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PLANE AND SOLID GEOMETRY

GEORGE R. PERKINS - 1856
...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 to D, the exterior angle...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 443 páginas
...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 to D, the exterior angle CBD will...
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James Pryde - 1867 - 458 páginas
...angle of incidence, their complements are also equal ; hence L BAD = L SAF, and L DBC = L GBA. But since the exterior angle of a triangle is equal to the sum of the two interior angles, L. EBC = L ВАС + L. ACB = L. BAD + L DAG + L ACB = L. BAD + L SAF + L ACB = 2 L BAD + L...
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An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 261 páginas
...It follows that in a right-angled triangle two angles are acute, and their sum is a rightangle. 127. The exterior angle of a triangle is equal to the sum of the interior and opposite angles. F'g- 1°3- When the side of a triangle is produced, the new angle...
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An Elementary Course of Plane Geometry

1870 - 16 páginas
...rightangles, these two straight lines are parallel (§ 100). Consequences of the above properties. 20. The exterior angle of a triangle is equal to the sum of the interior and opposite angles ; and the three angles of a triangle are together equal to two right-angles...
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A Treatise on Special Or Elementary Geometry, Volúmenes1-2

Edward Olney - 1872
...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; then CBD = A + e....
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A Treatise on Special, Or Elementary Geometry

Edward Olney - 1872 - 239 páginas
...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; then CBD = A + C....
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Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 402 páginas
...is 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. С Let EС H Ъе an. exterior angle of the triangle ABС. We are...
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