| Charles Davies - Geometry - 1886 - 324 pages
...triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is **equal to twice as many right angles as the figure has sides.** But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 4) ; and... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...the angles CBA, BAC, ACB, are equal to two right angles. Wherefore, if a side of a triangle, etc. QED **COR. 1. All the interior angles of any rectilineal...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... | |
| Euclides - 1853
...triangles; that is, (I. 15. Cor. 2.) together with four right angles. Therefore all the angles of the **figure, together with four right angles, are equal...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.... | |
| Euclides - Geometry - 1853 - 147 pages
...triangles : that is (i. 15, cor. 2), together with four right angles. Therefore all the angles of the **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right ,ingles.... | |
| Euclid - Geometry - 1853 - 136 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
...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... | |
| William Somerville Orr - Science - 1854
...the three angles of the triangle are = two right angles, .'. if a side of a triangle, &c. QED Сов. **1. — All the interior angles of any rectilineal figure, together with four right angles, are** = twice as many right angles as the figure has sides. For, any rectilineal figure ABODE can be divided... | |
| Popular educator - 1854
...tiungles are equal to twice as many right anales as the figure has sides. Therefore all the angles of the **figure together with 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... | |
| Charles Davies - Geometry - 1854 - 432 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 - 1854
...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... | |
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