 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...are known, the third can be formed by subtracting their sum from two right angles. Corollary VI. An exterior angle of a triangle is equal to the sum of the two opposite interior angles, as angle BCD = angle A + angle B. THEOREM XVII. 77. If two triangles have two sides and the included... | |
 | United States Naval Academy - 1904 - 980 pages
....^^^«(tO.-u (b) Given л- + xy = 70 and xy — y* =12, find .т and y. GEOMETRY. I. (a) Prove that an exterior angle of a triangle is equal to the sum of the two opposite interior angles. Define axiom and postulate, and give an example of each. Define trapezoid, trapezium, rhombus, and... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...7. In an equiangular triangle, each angle is one third of two right angles, or 60°. 137. COR. 8. An exterior angle of a triangle is equal to the sum of the two opposite interior angles, and therefore greater than either of them. PROPOSITION XIX. THEOREM. 138. The sum of two sides of a... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...equal, ZA.and for /.BCE its equal, ZB, Ax. 8. ZA + /.B + /.BCA = 2 rt. A. 0. E. J>. 135. COR. 1. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 136. COR. 2. The sum of any two angles of a triangle is less than two right angles. 138. COR. 4. A... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...its equal, Z.4,and for LBCE its equal, LB, Ax. 8, /A+ ZB + Z BGA - 2 rt. Z . 0- EB 135o Con. 1. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 136o COR. 2. The sum of any two angles of a triangle is less than two right angles. 138. COR. 4. A... | |
 | Cora Lenore Williams - Geometry - 1905 - 122 pages
...Theor. J. Straight lines parallel to the same straight line are parallel to each other.* Prop. 70. Any exterior angle of a triangle is equal to the sum of the two opposite interior angles, and the sum of the three interior angles is equal to two right angles. Prop. 71. The acute angles of... | |
 | Coast Artillery School (U.S.) - 1906 - 460 pages
.../—The determination of these circles depends on the two following propositions of geometry: namely, the exterior angle of a triangle is equal to the sum of the two opposite interior angles; and, secondly, an inscribed angle is measured by one-half the arc intercepted between its sides. Thus,... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...acute angles of a right triangle are complementary (617, 633). 653. The exterior angle CBD (Fig. 41) of a triangle is equal to the sum of the two opposite interior angles A and C, and consequently greater than either of them. When the successive sides of a polygon are prolonged... | |
 | Royal Geographical Society (Great Britain) - Scientific expeditions - 1906 - 514 pages
...rays = Z_ BE 6 ; and .'. Z ab B = 2 Z pb B, and Z&BE = 2Z&BP, FIG. But and - Z &B P = Z &PB because the exterior angle of a triangle is equal to the sum of the interior and opposite angles; instrument, is divided into 10' or 20', and those are subdivided... | |
 | Francis Fisher Browne - American literature - 1906 - 894 pages
...charcoal diagram on the floor of his play-room, the thirty-second proposition of the first book of Euclid (the exterior angle of a triangle is equal to the sum of the two interior and opposite angles, and the three angles of a triangle together equal two right angles).... | |
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An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 
