 | William Schoch - Geometry - 1904 - 152 pages
...angles of a polygon without measuring them ? Exercise 33. If the sum of the interior angles of a polygon is equal to twice as many right angles as the figure has sides less four right angles, determine the sum of the interior angles of : 1. A six-sided polygon,... | |
 | Reginald Empson Middleton - Surveying - 1904 - 332 pages
...which may be summarised as follows. The sum of the ' interior ' angles augmented by four right angles is equal to twice as many right angles as the figure has sides. The sum of the ' exterior ' angles diminished by four right angles is equal to twice as many... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...altitude is 3 in. PLANE GEOMETRY SEPTEMBER, 1909 1. The sum of all the interior angles of any polygon is equal to twice as many right angles as the figure has sides, less four right angles. 2. The angle between two chords which intersect within a circle is measured... | |
 | 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... | |
 | 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... | |
 | Charles E. Larard, Henry A. Golding - Engineering - 1909 - 508 pages
...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.... | |
 | Geometry, Plane - 1911 - 192 pages
...triangle whose altitude is 3 inches. SEPTEMBER, 1909 1. The sum of all the interior angles of any polygon is equal to twice as many right angles as the figure has sides, less four right angles. 2. The angle between two chords which intersect within a circle is measured... | |
 | William Charles Popplewell - Geodesy - 1915 - 272 pages
...sides. Stated precisely, " the sum of all the internal angles of a closed polygon plus four right angles is equal to twice as many right angles as the figure has sides." So that it is easy from the field notes to find the internal angle at each corner of the figure,... | |
 | John Whitelaw - Surveying - 1916 - 582 pages
...measurements before leaving the ground, as " the sum of the interior angles of any rectilinear figure is equal to twice as many right angles as the figure has sides, less four right angles." In the case of Fig. 73, as the figure is four-sided the sum of the... | |
 | David Wells Payne - Founding - 1917 - 724 pages
...opposite to corresponding angles are proportional. (6) In any polygon, the sum of all the interior angles is equal to twice as many right angles as the figure has sides, less four right angles. (7) In any polygon the sum of all the exterior angles is equal to four... | |
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E, is equal to twice as many right angles as the figure has sides, less four right angles. 
