| Charles William Hackley - Geometry - 1847 - 248 pages
...triangles is equal to two right angles (th. 15) ; therefore, 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 F, which are so many of the angles of the triangles,... | |
| Anthony Nesbit - Plane trigonometry - 1847 - 492 pages
...accuracy of the previous work. Moreover, since the sum of all the interior angles of any polygon is **equal to twice as many right angles as the figure has sides,** lessened by four ; as the given figure has five sides, the sum of all its interior angles must be 2x5... | |
| Euclid - 1848 - 52 pages
...angles. COR. 1. 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. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...two ACD, ACB ; and taking ACB from both, the angle ACD is equal to the two angles CAB, ABC. COR. 8. **The interior angles of any rectilineal figure are...straight lines, which make with a third line the interior** angle* on the same side of it less than two right angles, will meet on that side, if produced far enough.... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...to 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 Let the sides of the polygon ABCDFG, be produced,... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...&c. QED COR. 1. 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.** For any rectilineal figure ABODE can be divided into as many triangles as the figure has sides, by... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...there are sides of the polygon BCDEF. Also, the angles of the polygon, together with four right angles, **are equal to twice as many right angles as the figure has sides** (Prop. XXVIII., BI); hence all the angles of the triangles are equal to all the angles of the polygon,... | |
| Great Britain. Committee on Education - 1850 - 942 pages
...Section.) Section I. 1. 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.** 2. If the square described upon one side of a triangle be equal to the sum of the squares described... | |
| Her MAjesty' Inspectors of schools - 1850 - 912 pages
...Section.) Section I. 1. 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.** 2. If the square described upon one side of a triangle be equal to the sum of the squares described... | |
| 1850 - 524 pages
...proposition that all the interior angles of any rectilinear figure, together with four right angles, **are equal to twice as many right angles as the figure has sides** : and the dictum is equally true, too, in moral science — only in any particular case to dogmatize... | |
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