| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...The altitudes upon the arms of an isosceles triangle are equal. 60 PROPOSITION XXIII. THEOREM 117. **An exterior angle of a triangle is equal to the sum of** the two remote interior angles. cw Given the ext. Z ACD of A ABC. To prove Z ACD = ZA + Z B. HINT.... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...272. The altitudes upon the arms of an isosceles triangle are equal. PROPOSITION XXIII. THEOREM 117. **An exterior angle of a triangle is equal to the sum of** the two remote interior angles. B A Given the ext. Z ACD of A ABC. C To prove' Z ACD = Z A + Z B. HINT.... | |
| Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...the other vertices are the opposite interior angles. [ZA and Z C.] PROPOSITION XXXIII. THEOREM 102. **An exterior angle of a triangle is equal to the sum of** the opposite interior angles. Given : A ABC ; exterior Z ABD. To Prove : Z ABD = ZA + Z C. ^" ~ ""... | |
| Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...two right angles. Prolong AC to F . Draw CE II AB. ZA = Zz. § 133 § 132 §60 §111 144. Theorem. **An exterior angle of a triangle is equal to the sum of** the opposite interior angles, and is therefore greater than either of them. §105 Why? .-. ZBCF > ZA... | |
| John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...of the triangle. Thus ' 73 C "^ DCA (Fig. 73) is an exterior angle of PLANE GEOMETRY 186. THEOREM. **An exterior angle of a triangle is equal to the sum of** the opposite interior angles. D FIG. 74. (The proof is left to the student.) 187. COBOLLABY. An exterior... | |
| William Betz - Geometry - 1916 - 536 pages
...+ Zq Ax. 2 4. But Zp + Z o + Z q = a st. Z. Why ? .-.Zm + Zo + Zn = ast. Z. Ax. 1 181. COROLLARY 1. **An exterior angle of a triangle is equal to the sum of** the two remote interior angles, and is therefore greater than either of them. 182. COROLLARY 2. If... | |
| Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...384. The sum of the exterior angles of a triangle, taking one at each vertex, is 360°. (115) 385. **An exterior angle of a triangle is equal to the sum of** the two remote interior angles. (118), (199) 386. If the angles of one triangle are respectively equal... | |
| George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...an exterior angle of A ABC, and /A and /C are called the opposite interior angles. AQ •"• 106. **COROLLARY. An exterior angle of a triangle is equal to the sum of the two opposite interior angles.** For /XBC + / CBA = a st. /, and ^ A + / C + / CBA = a st. /^ Therefore / A + / C + / CBA = / XBC +... | |
| Herbert Ellsworth Slaught - 1918 - 332 pages
...to an acute angle of another right triangle, the remaining acute angles are equal. 160. COROLLARY 4. **An exterior angle of a triangle is equal to the sum of the two opposite interior angles.** Suggestion. Zl + Z2+z3 = 2rt. A, Euclid (about 330-275 BC). a famous teacher of geometry who lived... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...to an acute angle of another right triangle, the remaining acute angles are equal. 160. COROLLARY 4. **An exterior angle of a triangle is equal to the sum of the two opposite interior angles.** Suggestion. Zl + Z2+Z3 = 2rt. A, Euclid (about 330-275 BC-), a famous teacher of geometry who lived... | |
| |