| Association for the improvement of geometrical teaching - 1884
...equal to the angles formed by the second pair. THEOR. 36. All the interior angles of any convex polygon **together with four right angles are equal to twice as many right angles as the** polygon has sides. Let ABCDE be any convex polygon : A then shall all the interior angles of ABCDE... | |
| Charles Davies, Adrien Marie Legendre - 1885 - عدد الصفحات: 512
...eight right angles, or $ of one right angle. Cor. 4. In any equiangular polygon, any interior angle is **equal to twice as many right angles as the figure has sides,** less four right angles, divided by the mimber of angles. PROPOSITION XXVII. THEOREM. The sum of the... | |
| 1885
...that the sum of the interior angles of any rectilineal figure together witli four right angles, is **equal to twice as many right angles as the figure has sides.** 5. Prove that the opposite sides and angles of a parallelogram are equal to one another, and that the... | |
| William Davis Haskoll - 1886 - عدد الصفحات: 230
...of the angles having been correctly measured, because all the interior angles of the polygon will be **equal to twice as many right angles as the figure has sides,** less four right angles, or 360°, if the theodolite has been correctly used. There will, however, generally... | |
| Webster Wells - 1886 - عدد الصفحات: 371
...angles is expressed by 2 R x (n — 2) , or 2 nR — 4 R. That is, the sum of the angles of a polygon is **equal to twice as many right angles as the figure, has sides,** less four right angles. PROPOSITION XLVII. THEOREM. 149. If the sides of a polygon are produced so... | |
| Richard Anthony Proctor - 1887 - عدد الصفحات: 180
...produced to meet, the angles formed by these lines, together with eight right angles, are together **equal to twice as many right angles as the figure has sides.** 139. AP, BP, and CP are the internal bisectors of the angles of the triangle ABC. AP is produced to... | |
| Bennett Hooper Brough - 1888 - عدد الصفحات: 302
...accuracy of the survey, as the interior angles of the polygon together with four right angles should be **equal to twice as many right angles as the figure has sides.** The interior angles of a traverse may be found from the bearings or courses by the following rules... | |
| E. J. Brooksmith - 1889
...perpendicular without producing the given line. 1. Prove that all the interior angles of any rectilineal **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** There are two regular polygons, the number of sides of one is double the number of sides of the other,... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - عدد الصفحات: 515
...CBA, BAC, BCA together=two rt. ^s. [Ax. 1. COROLLARY I.— All the interior angles of any rectilineal **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** D For any rectl. figure, ABCDE, can be divided into as many As as the figure has sides by drawing st.... | |
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