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" The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles. "
A Text-book of Geometry - Page 69
by George Albert Wentworth - 1888 - 386 pages
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...many rt. L s as the figure has sides. COR. 2. The exterior angles of any convex rectilinear figure, made by producing each of its sides in succession, are together equal to four right angles. Every interior angle, as ABC, and its adjacent exterior angle, as ABD, together are = two rt. L s....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...many rt. / s us the figure has sides. COH. 2. The exterior angles of any convex rectilinear figure, made by producing each of its sides in succession, are together equal to four right angles. Every interior angle, as ABC, and its adjacent exterior angle, as ABD, together are = two rt. L s....
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...an equiangular polygon of n sides is equal to — — right angles. PROPOSITION XLVII. THEOREM. 159. The exterior angles of a polygon, made by producing...together equal to four right angles. Let the figure A BC DE be a polygon, having its sides produced in succession. We are to prove the sum of the exl....
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...right angle. In general, each angle of an equiangular polygon of n PROPOSITION XLVII. THEOREM. 159. The exterior angles of a polygon, made by producing...succession, are together equal to four right angles. Let the ugure A EC DE be a polygon, having its sides produeed in succession. We are to prove the sum of the...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...polygon of n e) / л\ sides is equal to — L: 1 right angles. я PROPOSITION XLVII. THEOREM. 159. The exterior angles of a polygon, made by producing...sides in succession, are together equal to four right angies. bet the ügure ABСDE be a polygon, having: its sides produced in succession. We are to prove...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 436 pages
...angles. PROPOSITION XLVII. THEOREM. 159. The exterior angles of a polygon, made by producing each of Us sides in succession, are together equal to four right angles. Let the figure ABСDE be a polygon, having its sides produced in succession. We are to prove the sum of the ext. A...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...rt. / s aa the figure has sides. COR. 2. The exterior angles of any convex, rectilinear figure, inade by producing each of its sides in succession, are together equal to four right angles. Every interior angle, as ABC, and its adjacent exterior angle, as ABD, together are = two rt. L a....
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...equiangular polygon of и 2 'no) sides is equal to — L. £ right angles. PROPOSITION XLVII. THEOREM. 159. The exterior angles of a polygon, made by producing...together equal to four right angles. Let the figure ABC DE be a polygon, having its sides produced in succession. We are to prove the sum of the ext. A...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...equiangular polygon of » sides is equal to — — - right angles. PROPOSITION XLVII. THEOREM. 159. The exterior angles of a polygon, made by producing...polygon, having its sides produced in succession. We are to prove the sum of the ext. A — 4: rt. A. Denote the int. A of the polygon by A , B, C, D,...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1884 - 422 pages
...equiangular polygon of n PROPOSITION XL VI I. THEOREM. 159. The exterior angles of a polygon, made Ijy producing each of its sides in succession, are together equal to four right angles. Let the figure ABСDE be a polygon, having its sides produced in succession. We are to prove the sum of the ext. Ä...
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