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" The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. "
The elements of geometry, in eight books; or, First step in applied logic - Pagina 200
door L J V. Gerard - 1874
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A Treatise on Special, Or Elementary Geometry

Edward Olney - 1872 - 239 pagina’s
...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;...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - 1872
...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;...
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Wentworth & Hill's Exercise Manuals.(: Geometry

George Albert Wentworth - 1884 - 228 pagina’s
...equal. 31. Corollary 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...
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The Elements of Geometry

Webster Wells - 1886 - 371 pagina’s
...and ACB is equal to the sum of 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...
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A Primary Geometry: With Simple and Practical Examples in Plane and ...

Samuel Edward Warren - 1887 - 178 pagina’s
...Fig. 52, are exterior angles. The last theorem now naturally leads to the following : — Theorem. — An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The angles d and CAB, Fig. 53, arc together equal to two right angles,...
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Proceedings of the Board of Public Instruction of the City of Albany, Volume 12

1889
...equal. 15. How does a scalene triangle differ from an equilateral triangle 7 16-18. Prove that the exterior angle of a triangle is equal to the sum of the two opposite-interior angles. I'.i. What is a right angle ? 20-22. Prove that two right angles are equal when the hypotenuse and...
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Wentworth & Hills's Exercise Manuals: Geometry, Nummer 3

George Albert Wentworth - 1889
...31. Corollary 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...
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Exercise Manuals, Nummer 3

George Albert Wentworth - 1889
...Corollary II. The sum of the acute angles of a right triangle is equal to 90. y i /" / 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. X 33. Theorem. The sum of the angles of a quadrilateral is equal...
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Euclid's Elements of Geometry, Boeken 1-6

Henry Martyn Taylor - 1893 - 504 pagina’s
...6. Construct a right-angled triangle, having given one side and the angle opposite. PROPOSITION 32. An exterior angle of a triangle is equal to the sum of the two interior opposite angles; and the sum of the three interior angles of a triangle is equal to...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - 1894 - 389 pagina’s
...perimeter of a triangle is less than twice the sum of the medians. PROPOSITION XXVIII. 119. Theorem. An exterior angle of a triangle is equal to the sum of the opposite interior angles. Let ABC represent a triangle, D AC an exterior angle, and В and С the...
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