| Euclid - 1833 - 183 pągines
...angle EDN ; therefore the reentrant angle, with the sum of all the other internal and external angles, **is equal to twice as many right angles as the figure has sides,** and to its excess EDN above two right angles : but the internal angles, with four right angles, are... | |
| Thomas Perronet Thompson - 1833 - 150 pągines
...severally capable of being so divided. And because the interior angles of each of such smaller figures are **equal to twice as many right angles as the figure has sides,** diminished by four right angles, (or, which is the same thing, to twice as many right angles as the... | |
| Charles Bonnycastle - 1834 - 631 pągines
...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
...together equal to four right angles ; and the sum of its interior angles, together with four right angles, **is equal to twice as many right angles as the figure has sides** . . . 15 (c) The area of a rectilineal figure may be obtained by dividing it into triangles, having... | |
| Euclid - 1835 - 513 pągines
...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... | |
| 1836 - 472 pągines
...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 angles» 2. All the exterior angles of any rectilineal figure are to. gether equal to four... | |
| John Playfair - 1836 - 114 pągines
...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.... | |
| Adrien Marie Legendre - 1837 - 329 pągines
...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 angles, is equal to twice as many right... | |
| Charles Reiner - 1837 - 215 pągines
...common vertex of these triangles = 4 rt. /.s; therefore, the sum or the interior angles of any polygon **is equal to twice as many right angles as the figure has sides** less {minus] four. -M. — If the number of sides be three, four, five, six, seven, &c., what is the... | |
| Commissioners of National Education in Ireland - 1837 - 262 pągines
...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 angle, which... | |
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