Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 93
§ 54, 7 a. 5. The sum of all the A about a point = 4 rt. A. § 67. 6. The sum of all the A of the polygon = the sumof the A of the ii A —the sum of all the Aabout 0. 217. Cor. Each angle of an equiangular polygon of n sides is equal to 2(n - 2) n right angles. 82 PLAXE GEOMETRY Propositiox XXX.… … \/D Given polygon P with Zl, Z2, Z3, Z4, ••• its successive ex-terior angles. To prove Zl + Z2 + ^3 + ^4 + ... = 4 rt. Z. Argument 1. Zl + ^6 = 2 rt. Z, Z2 + Z7 = 2 rt. Z, and so on;I.e. the sum of the int.Z and the ext. Z at onevertex = 2 rt. Z. 2. .*. the sum of the int. and ext. zs at the n…
Geometry, Plane · Geometry, Solid
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