| Euclides - 1845 - 546 pages
...if a side of any triangle be produced, &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... | |
| 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... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...as there are triangles ; that is, as there are sides in the figure BCDEF ; and that (I. 32, cor. 1) **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 ; therefore all the angles... | |
| Euclides - 1846 - 292 pages
...angles. Wherefore, If a side of a triangle %c. QEU 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... | |
| Dennis M'Curdy - Geometry - 1846 - 168 pages
...ax. 2 ! (4) p. 27; (c) p. 13. (e)p.29; Cor. 1. All the interior angles of any rectilineal figure and **four right angles, are equal to twice as many right angles as the figure has sides.** For, about a point within the figure, as many triangles may be formed as the figure has sides, each... | |
| London univ - 1846 - 326 pages
...; and the three interior angles of every triangle will be equal to two right angles. Also show that **all the exterior angles of any rectilineal figure are together equal to four right angles.** 6. Parallelograms upon the same base and between the same parallels are equal to one another. 7. Show... | |
| Euclides - 1846 - 272 pages
...internal, are equal to twice as many right angles, as there are sides of the figure ; but the internal **with four right angles, are equal to twice as many right angles as** there are sides of the figure (by Cor. 6) ; take away from both the internal angles, and the external... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 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 sidesinthefigure(lcr. 32. 1. ^therefore all... | |
| Education - 1847 - 508 pages
...paid off? OEOMETBY AND TRIGOSO1IETBY. SECTION I. — 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.** 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts, are between... | |
| Great Britain. Committee on Education - School buildings - 1847 - 606 pages
...debt be paid off? GEOMETRY AND TRIGONOMETRY. 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** hag sides. 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts,... | |
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