| Euclides - 1852 - 152 pages
...straight 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... | |
| Euclides - 1852 - 48 pages
...the base. COB. 3. 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.** COB. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Adrien Marie Legendre - Geometry - 1852 - 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... | |
| Charles Davies - Geometry - 1886 - 340 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 - 176 pages
...straight linee 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 - 146 pages
...straight 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 - 176 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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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.** COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Popular educator - 1854 - 922 pages
...angles of the figure (Conit.) ; 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** (Ax. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the exterior angles of any rectilineal... | |
| 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... | |
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