| George Clinton Shutts - 1905 - 260 pages
...angles. Let AD represent any convex polygon. To prove that the sum of the interior angles of the polygon **is equal to twice as many right angles as the polygon has sides,** minus four right angles. Suggestion 1. Connect each vertex with O, any point within the polygon. 2.... | |
| 1905 - 946 pages
...parallel to the base and half of it. D Papen. 6. The sum of all the interior angles of any polygon and **four right angles is equal to twice as many right angles as** there are eides to the polygon. 7. Find a point which shall be equally distant from the three angles... | |
| Mining engineering - 1907 - 578 pages
...are there in the remaining angle? M — ///. ANS. — The sum of the interior angles of any polygon **is equal to twice as many right angles as the polygon has sides,** less four right angles. In this case, the figure having four sides, the sum of all the interior angles... | |
| Walter Percy Workman - Geometry - 1908 - 228 pages
...exterior angles so formed are together equal to four right 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... | |
| Great Britain. Board of Education - Education - 1911 - 678 pages
...angle." In the same way it was shown on the board that the sum of the interior angles of a convex polygon **is equal to twice as many right angles as the polygon has sides** less two. This theorem was to be repeated at the next lesson ; and the boys were asked to prove as... | |
| Surveying - 1911 - 338 pages
...close jK,lygon, 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** i 'he figure has sides. The sum of the ' exterior ' angles diminished by four right angles is equal... | |
| International Correspondence Schools - Coal mines and mining - 1913 - 360 pages
...of the exterior angles will equal four right angles. 18. The sum of the interior angles of a polygon **is equal to twice as many right angles as the polygon has sides,** less four right angles. For example, the sum of the interior angles of a quadrilateral is (2X4)—... | |
| William Charles Popplewell - Geodesy - 1915 - 272 pages
...the number of 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... | |
| Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...equilateral and equiangular. PROPOSITION XXX. THEOREM 173. The sum of the interior angles of a polygon **is equal to twice as many right angles as the polygon has sides,** less four right angles. Given. A polygon having n sides. To prove that the sum of the angles is 2 n... | |
| Thomas J. Foster - Coal mines and mining - 1916 - 1230 pages
...the exterior angles thus formed is equal to 360°. 24. The sum of the interior angles of a polygon **is equal to twice as many right angles as the polygon has sides,** less four right angles. For example, the sum of the interior angles of a pentagon is (2X5)— 4 = 6... | |
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