| Thomas Aloysius O'Donahue - Mine surveying - 1911 - 288 pages
...triangles may be grouped together to form an irregular polygon, and the interior angles should equal **twice as many right angles as the figure has sides, less four right angles.** Thus the interior angles of a ten-sided figure should total (10 x 2 — 4 = ) 16 right angles. Again,... | |
| Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...BC. 2. Prove that the interior angles of any rectilinear figure together with four right angles are **equal to twice as many right angles as the figure has sides.** Find the number of sides of a regular polygon, each angle of which is equal to the sum of an angle... | |
| Great Britain. Board of Education - Education - 1912 - 1048 pages
...BC. 2. Prove that the interior angles of any rectilinear figure together with four right angles are **equal to twice as many right angles as the figure has sides.** Find the number of sides of a regular polygon, each angle of which is equal to the sum of an angle... | |
| Alberta. Department of Education - Education - 1912 - 244 pages
...8. 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.** 8 9. (a) If a straight line be bisected and produced to any point, the rectangle contained by the whole... | |
| William Charles Popplewell - Geodesy - 1915 - 266 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, and... | |
| Alfred Hubert Haines, A. F. Hood Daniel - Building - 1915 - 360 pages
...fulfilled :— 1. All the interior deduced or observed angles together with four right angles must be **equal to twice as many right angles as the figure has sides.** 2. The northings must equal the southings. 3. The eastings must equal the westings. In ordinary traverse... | |
| John Whitelaw - Surveying - 1916 - 578 pages
...angular 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 interior angles is equal to 2 x... | |
| 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 right angles, or 360°. (8)... | |
| James Park - Azimuth - 1922 - 598 pages
...iii . . . . 141 12 iv .... 66 40 Total . 360° 00' And the sum of the internal angles of a polygon **is equal to twice as many right angles as the figure has sides, less four right angles.** Our figure has four sides, .-. 90(4x2) -(4x90) =360°, which agrees with the sum of the deduced angles... | |
| John Whitelaw - Surveying - 1924 - 650 pages
...angular 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 interior angles is equal to 2 x... | |
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