| Euclides - 1840 - 192 pages
...two right angles. All the angles, therefore, of the triangles into which the AE figure is divided, **are equal to twice as many right angles as the figure has sides.** But of these, the angles round the point F are equal to four right angles (Prop. 13, cor.) : if these... | |
| Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...supplement of its adjacent external angle, the internal and external angles, taken together, will be **equal to twice as many right angles as the figure has sides** ; but, from what has been already shown, the external angles alone are equal to four right angles.... | |
| Euclides - Geometry - 1841 - 378 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 - 1842 - 316 pages
...straight lines from a point F within the figure to each of its angles. And, by the present 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... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior **are equal to twice as many right angles as the figure has sides,** wanting four. PROP. II. Two straight lines, which make with a third line the interior angles on the... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 110 pages
...two regular polygons, having the same number of sides. The sum of all the angles in each figure is **equal to twice as many right angles as the figure has sides,** less four right angles (BI A{ Prop. 13), and as the number of sides is the same in each figure, the... | |
| Euclides - 1845 - 546 pages
...triangle are equal to two right angles, and there are as many triangles as the figure has sides, therefore **all the angles of these triangles are equal to twice as many right angles as the figure has sides** ; but the same angles of these triangles are equal to the interior angles of the figure together with... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...straight lines from ii 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 - 1845 - 218 pages
...figure, together with four right angles, are equal to twice as many right angles as the figure has sides. **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... | |
| Nathan Scholfield - 1845 - 894 pages
...two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVIII.) ; that is, **equal to twice as many right angles as the figure has sides,** wanting four right angles. Hence, the interior angles plus four right angles, is equal to twice as... | |
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