| Adrien Marie Legendre - Geometry - 1837 - 376 pages
...two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVI.) ; 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... | |
| Euclides - 1838 - 264 pages
...the common vertex of «2cor is i "le triangles; that is,* together with four right angles. Therefore **all the angles of the figure, together with four right...twice as many right angles as the figure has sides.** COB. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| 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
...angles. Wherefore, if a side of a triangle, &c. QED COR. 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
| Euclides - 1842 - 316 pages
...as there are triangles (Euc. 32. 1.); that is, as there are sides in the figure BCDEF; and because **all the angles of the figure, together with four right angles, are** likewise equal to twice as many right angles as there are sides in the figure (Euc. 1. Cor. 32. 1.);... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...angles as there are triangles (32. 1.) » that is, as there are sides in the figure BCDEF ; and because **all the angles of the figure, together with four right angles, are** likewise equal to twice as many right angles as there are sides in the figure(l cr. 32. 1 .^therefore... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...angles of the figure are equal to twice as many right angles as the figure has sides, wanting four. **COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.** ABC, with its adjacent exterior Because every interior angle ABD, is equal (13. 1.) to two right angles... | |
| 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... | |
| Euclid - Geometry - 1845 - 218 pages
...angles. Wherefore, if a side of a triangle, &c. QED COB. 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal...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... | |
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