| Euclides - 1853 - 146 pages
...which is the common vertex of the triangles; that is, (I. 15. Cor. 2.) together with four right angles. **Therefore all the angles of the figure, together with...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.... | |
| Euclid - Geometry - 1853 - 176 pages
...internal angles, are equal to twice as many right angles as the figure has sides; but the internal angles, **together with four right angles, are equal to twice as many right angles as the figure has sides** (6); take away from both the internal angles, and the external angles remain, equal to four right angles... | |
| Euclides - Geometry - 1853 - 334 pages
...the angles of the polygon together with four right angles. But all the angles of the polygon GHKLM **together with four right angles are equal to twice as many right angles as the** polygon has sides (i. 32. Cor. i), that is, as there are plane angles constituting the solid angle... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angles. Wherefore, if a side of a triangle, etc. QED COR. 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal to twice as many** D right angles as the figure has sides. E.«=^lT"\~~-^, \ 4C-\ For any rectilineal figure ABCDE can... | |
| Popular educator - 1854 - 922 pages
...But it has been proved that nil the angles of these tiungles are equal to twice as many right anales **as the figure has sides. Therefore all the angles...four right angles are equal to twice as many right** ung'es as the figure has sides. Corollary 2. All the exterior angles of any rectilineal figure, made... | |
| 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... | |
| 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... | |
| Euclides - 1855 - 270 pages
...of the figure together with four right angles. But it has been proved that all the angles of these **triangles are equal to twice as many right angles...twice as many right angles as the figure has sides.** СOR. 2. — All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| Rolla Rouse - 1879 - 400 pages
...40 ... ... ... ... ... 103 The exterior and interior angles of an rectilineal figure, are together **equal to twice as many right angles as the figure has sides,** 41 ... 104 „ angles are together equal to four right angles, 42 ... ... ... ... „ The interior... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...But ACD+ACB = 2R; BAC+ABC+ACB = 2R. Corollary 1.—All the interior angles of a polygon are together **equal to' twice as many right angles as the figure has sides,** minus four right angles. Let ABODE be a polygon, and let n represent the number of its sides. Draw... | |
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