| Euclides - 1884
...twice as many right angles as the figure has sides. Therefore all the angles of the figure, together **with four right angles, are equal to twice as many right angles as the figure has sides.** QED EXERCISE XXXVIII. 1. If a figure be a pentagon, or five-sided, how many right angles make twice... | |
| Association for the improvement of geometrical teaching - 1884
...triangles make up the interior angles of the polygon, therefore the interior angles of the polygon together **with four right angles are equal to twice as many right angles as the** polygon has sides. QED Ex. 45. Prove Theor. 26 by joining one angular point of the polygon to all the... | |
| Mathematical association - 1884
...triangles make up the interior angles of the polygon, therefore the interior angles of the polygon together **with four right angles are equal to twice as many right angles as the** polygon has sides. QED Ex. 45. Prove Theor. 26 by joining one angular point of the polygon to all 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... | |
| Charles Davies, Adrien Marie Legendre - 1885 - 512 sider
...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... | |
| Webster Wells - 1886 - 371 sider
...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... | |
| William Davis Haskoll - 1886 - 230 sider
...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... | |
| Richard Anthony Proctor - 1887 - 180 sider
...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 - 302 sider
...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... | |
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