 | 1907 - 578 ページ
...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... | |
 | Robert Louis Short, William Harris Elson - 1910 - 202 ページ
...equal each to each, and similarly placed. THEOREM XXXIII 149. The sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles. Draw polygon ABCDE, etc. "We have Given polygon ABCD, etc., having n sides.... | |
 | Great Britain. Board of Education - 1911 - 678 ページ
...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... | |
 | International Correspondence Schools - 1913 - 360 ページ
...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)—... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - 1916 - 328 ページ
...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 - 1916 - 1230 ページ
...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... | |
 | Bennett Hooper Brough - 1920 - 510 ページ
...closing angle has been observed. It depends upon the fact that the internal angles in a polygon are equal to twice as many right angles as the polygon has sides, less four right angles. The angles read are not always the internal angles of the polygon formed by... | |
 | Eugenio Rignano - 1923 - 416 ページ
...accomplished at first. "So that the angles of the polygon, if added to the angles at the vertex, are equal to twice as many right angles as the polygon has sides." Here we mentally perform the experiment which consists in substituting, in a given sum of a certain... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 202 ページ
...Cor. QED COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides. [For the interior and exterior angles at n vertices = nx 2 rt. L a, .'. the interior angles = (In -... | |
 | Hippolyte Taine - 1998 - 596 ページ
...the polygon ; so that the angles of the polygon, if we add to them the angles at the vertices, are equal to twice as many right angles as the polygon has sides. Now we know independently that the angles at the vertices are together equal to four right angles ;... | |
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... is equal to twice as many right angles as the polygon 
