| A. M. LEGENDRE - 1852
...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... | |
| 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... | |
| Euclides - Geometry - 1853 - 147 pages
...from a point f within the figure to each of its angles. And, by the preceding proposition, all the **angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure : and the same angles are equal to the... | |
| Euclides - 1853
...lines from a point F within the figure to each of its angles. And by the preceding proposition, all the **angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure; and the same angles are equal to the... | |
| Euclid - Geometry - 1853 - 136 pages
...There are formed as many triangles as the figure has sides, therefore all their angles taken together **are equal to twice as many right angles as the figure has sides** (a) ; but the angles at the point F are together equal to four right angles (4), therefore all the... | |
| Popular educator - 1854
...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... | |
| 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... | |
| 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... | |
| Euclides - 1855
...interior angles 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 as the figure has sides.** Therefore all the angles of the figure together with four right angles are equal to twice as many right... | |
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