| Anthony Nesbit - Plane trigonometry - 1847 - 426 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... | |
| Charles William Hackley - Geometry - 1847 - 103 pages
...Hence it follows that the sum of all the inward angles of the polygon alone, A + B -f- C + D + E, is **equal to twice as many right angles as the figure has sides,** wanting the said four right angles. QED Corol. 1. In any quadrangle, the sum of all the four inward... | |
| Euclides - 1848
...opposite angles ; and the three ulterior angles of every triangle are together equal to two right angles. **COR. 1. All the interior angles of any rectilineal...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... | |
| Euclid, Thomas Tate - 1849 - 108 pages
...triangles ; that is (Cor. 2. i. 15.), together with four right angles. Therefore all the angles of the **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** COR. 2. All the exterior angles of any rectilineal figuro, are together equal to four right angles.... | |
| Elias Loomis - Conic sections - 1849 - 226 pages
...(Prop. XXVII., BI), that is, as 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,... | |
| Charles Davies - Trigonometry - 1849 - 359 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... | |
| Great Britain. Committee on Education - 1850
...thickness. GEOMETRY AND TRIGONOMETRY. (One Question is only to be answered in each Section.) Section I. **1. All the interior angles of any rectilineal figure,...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
...ring. GEOMETRY AND TRIGONOMETRY. (One Question is only to be answered in each Section.) Section I. **1. All the interior angles of any rectilineal figure,...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
...revelation could supersede the reasoning of the proposition that all the interior angles of any rectilinear **figure, together with four right angles, are equal...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... | |
| Charles Davies - Geometry - 1850 - 216 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. 3) ; and... | |
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