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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. "
Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables - Σελίδα 85
των Joe Garner Estill - 1896 - 161 σελίδες
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Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871 - 136 σελίδες
...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....

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...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....

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 426 σελίδες
...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...

Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 378 σελίδες
...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....

Elements of Geometry

George Albert Wentworth - 1881 - 266 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1884 - 422 σελίδες
...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...

Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - 1889 - 306 σελίδες
...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...

A Text-book of Geometry

George Albert Wentworth - 1890 - 296 σελίδες
...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...

The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 420 σελίδες
...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...




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