| 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.... | |
| 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.... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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,... | |
| 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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