| Stewart W. and co - 1884 - 272 pages
...together with four right angles. 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.** XXXIII. — The straight lines which join the extremities of two equal and parallel straight lines,... | |
| Woolwich roy. military acad - 1884 - 148 pages
...line. 1. Prove that all the interior angles of any rectilineal figure, together with four right angles, **are equal to 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,... | |
| Euclides - 1884 - 214 pages
...angles as the figure has sides, Cor. I. and all the interior angles, with all the exterior angles, **are equal to twice as many right angles as the figure has sides,** Proved. Therefore all the interior angles, together with four right angles, are equal to all the interior... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...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 - 604 pages
...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 - Hydrographic surveying - 1886 - 354 pages
...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 - Geometry - 1886 - 392 pages
...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 - Geometry - 1887 - 202 pages
...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 - Mine surveying - 1888 - 366 pages
...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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