| Euclid, Thomas Elrington - 1833 - 183 pagina’s
...formed as many triangles as the figure has sides, and therefore all their angles taken together are **equal to twice as many right angles as the figure has sides** (1): but the angles at the point F are equal to four right angles (2); and therefore the angles of... | |
| Charles Bonnycastle - 1834 - 631 pagina’s
...expressed as the following proposition : "The interior angles of any closed plane figure are together **equal to twice as many right angles as the figure has sides,** minus four right angles." 206. And as a second application of the principle in question, or, which... | |
| 1835
...has as many angles as sides : therefore all the interior angles together with four right angles are **equal to twice as many right angles as the figure has sides.** Therefore, &c. Cor. The four angles of a quadrilateral are together equal to four right angles. SECTION... | |
| Euclid - 1835 - 513 pagina’s
...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 ABCDE can be divided into as many triangles as the figure has sides, by... | |
| John Playfair - 1836 - 114 pagina’s
...with four right angles. Therefore all the angles of the figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** COR. II. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| 1836 - 472 pagina’s
...triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal figure are **equal to twice as many right angles as the figure has sides,** wanting four right anglesť 2. All the exterior angles of any rectilineal figure are to. gether equal... | |
| John Playfair - 1837 - 318 pagina’s
...many right angles as the figure has sides, wanting four. For all the angles exterior and interior are **equal to twice as many right angles as the figure has sides ; but the** exterior are equal to four right angles ; therefore the interior are equal to twice as many right angles... | |
| 1837 - 262 pagina’s
...as you go along, as also the angles. angles, A, B, C, &c. of the figure together, and their sum must **be equal to twice as many right angles as the figure has sides,** wanting four right angles. But when the figure has a re-enterant angle, as F, measure the external... | |
| Andrew Bell - 1837 - 240 pagina’s
...with four right angles. Therefore all the angles of the figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** Let the sum of the interior angles be denoted by I, the number of sides by n, and a right angle by... | |
| Adrien Marie Legendre - 1837 - 329 pagina’s
...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... | |
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