| Euclides - 1853 - 146 pages
...together with four right angles. Therefore all the angles of the figure, together with four right angles, **are equal to twice as many right angles as the figure has sides.** COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Popular educator - 1854 - 940 pages
...divide it into three equal parts. *"'t 3Fig. .42. No. 3. interior angles together with four right angles **are equal to twice as many right angles as the figure has sides.** Therefore all the interior angles together with all the exterior angles are equal (Ax. 1) to all the... | |
| Charles Davies - Geometry - 1854 - 436 pages
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is **equal to twice as many right angles as the figure has sides,** less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral is equal to two right... | |
| E. W. Beans - Surveying - 1854 - 114 pages
...taken. If the entire survey has been made as above directed, the sum of all the internal angles will be **equal to twice as many right angles as the figure has sides,** diminished by four right angles. If this sum, as in practice will be likely to be the case, should... | |
| Euclides - 1855 - 262 pages
...to two right angles. Therefore all the interior angles, together with all the exterior angles of the **figure, are equal to twice as many right angles as the figure has sides.** But it has been proved by the foregoing corollary, that all the interior angles together with four... | |
| William Mitchell Gillespie - Surveying - 1855 - 436 pages
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is **equal to twice as many right angles, as the figure has sides** less two ; since the figure can be divided into that number of triangles. Hence this common rule. "... | |
| Henry James Castle - Surveying - 1856 - 220 pages
...angles are the exterior angles of an irregular polygon ; and as the sum of all the interior angles **are equal to twice as many right angles, as the figure has sides, wanting four** ; and as the sum of all the exterior, together with all the interior angles, are equal to four times... | |
| Surveying - 1878 - 534 pages
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is **equal to twice as many right angles, as the figure has sides** less two; since the figure can be divided into that number of triangles. Hence this common rule. "... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...other, the remaining angles must be equal. Cor. 2. The sum of all the interior angles of a polygon is **equal to twice as many right angles as the figure has sides,** minus four right angles. In the case of the triangle, this corollary has just been demonstrated; for,... | |
| Euclides - 1879 - 146 pages
...&c. QED Cor. 1. 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.** For any figure ABCDE can be divided into as many As as it has sides, by drawing st. lines from a pt.... | |
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