| C. F. Close - Surveying - 1905 - 376 pages
...together with the line AB form an enclosed figure, and the sum of all the interior angles should be **equal to twice as many right angles as the figure has sides, less four right angles.** We thus have a check on the observed horizontal angles. It should be carefully noted that the included... | |
| Sidney Herbert Wells - Machine design - 1905 - 246 pages
...which says, that " the interior angles of any straight lined figure together with four right angles are **equal to twice as many right angles as the figure has sides."** The most common of the regular polygons used in engineering designs are the pentagon (five-sided),... | |
| Royal Geographical Society (Great Britain) - Scientific expeditions - 1906 - 512 pages
...together with the line AB form an enclosed figure, then the sum of all the interior angles should be **equal to twice as many right angles as the figure has sides, less four right angles.** We thus have a check on the observed horizontal angles. It should be carefully noted that the included... | |
| Saskatchewan. Department of Education - Education - 1906 - 188 pages
...? Show 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.** (c) Derive the magnitude of an angle of a regular octagon. (d) If the exterior vertical angle of an... | |
| Euclid - Mathematics, Greek - 1908 - 550 pages
...perhaps somewhat simpler than, Simson's. 1. The sum of the interior angles of a convex rectilineal **figure is equal to twice as many right angles as the figure has sides, less four.** For let one angular point A be joined to all the other angular points with which it is not connected... | |
| Walter Percy Workman - Geometry - 1908 - 228 pages
...angles ; and in any convex polygon the sum of the interior angles, together with four right angles, **is equal to twice as many right angles as the figure has sides** (Euc. I. 32, Cor.) 110 Congruence. CI — If two triangles have two sides and the included angle in... | |
| Euclid - Mathematics, Greek - 1908 - 576 pages
...assume the proposition that the interior angles of a convex polygon together with four right angles are **equal to twice as many right angles as the figure has sides.** Let there be any convex polyhedral angle with V as vertex, and let it be cut by any plane meeting its... | |
| Henry Sinclair Hall - 1908 - 286 pages
...42 COR. 1. All the interior angles of any rectilineal figure, 2 together with four right angles, are **equal to twice as many right angles as the figure has sides.** 44 COR. 2. If the sides of a rectilineal figure, which has no re-entrant angle, are produced in order,... | |
| Charles Edward Larard, Henry Albert Golding - Engineering - 1909 - 506 pages
...to two right angles. 0- (fig. 2). Fm. 1. FIG. 2. The sum of the interior angles of any rectilineal **figure is equal to twice as many right angles as the figure has sides, less** 4. Thus, for example, in the irregular pentagon (fig. 3), = 2 x 5 x 90° - 4 x 90° ; FIG. 3. or generally,... | |
| Geometry, Plane - 1911 - 192 pages
...correct unless you are expressly asked to do so. 1. Prove that the sum of all the angles of any polygon **is equal to twice as many right angles as the figure has sides less four.** 2. Prove that in the same circle, or in equal circles, equal arcs arc subtended by equal chords. 3.... | |
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