| Charles William Hackley - Geometry - 1847 - 248 pages
...sum. 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... | |
| Education - 1847 - 508 pages
...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. Equal triangles, upon equal bases in the same straight line, and towards the same parts, are between... | |
| Euclides - 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... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...has sides. angles of each of these triangles, is equal to two right angles (Prop. XXVII.); therefore **the sum of the angles of all the triangles, is equal to twice as many right angles as the** polygon has sides. But the same angles are equal to the angles of the polygon, together with the angles... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...equal 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... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...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... | |
| Thomas Baker - Railroads - 1850 - 244 pages
...taking the angles or measuring the lines. But since the sum of all the interior angles of a polygon **is equal to twice as many right angles as the figure has sides,** lessened by four right angles, and since the given figure has five sides, the sum of all its five interior... | |
| 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... | |
| Great Britain. Committee on Education - 1850 - 942 pages
...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 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... | |
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