 | 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...succession, are 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... | |
 | 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... | |
 | 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 - Geometry, Modern - 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...succession, are 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... | |
 | 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... | |
 | George William Usill - Surveying - 1889 - 306 pages
...triangle are together equal to two right angles. 19. The exterior angles of any convex rectilinear figure, made by» producing each of its sides in succession, are together equal to four right angles. Now one of the most essential things to be understood with regard to angular measurement is the circle... | |
 | George Albert Wentworth - Geometry - 1890 - 296 pages
...angle. In general, each angle of an equiangular polygon of n sides is PROPOSITION XLV. THEOREM. 207. The exterior angles of a polygon, made by producing each of its sides in succession, are togetherequal to four right angles. \ Let the figure ABCDE be a polygon, having its sides produced... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...of . , . 2(n — 2) . , , 7 n sides is — right angles. n Proposition 37. Theorem. 151. The sum of the exterior angles of a polygon, made by producing each of its sides in the same direction, is equal to four right angles. Hyp. Let ABCDE be a polygon having its n sides produced... | |
| |
The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles. 
