| Charles Bonnycastle - Geometry - 1834 - 670 pages
...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... | |
| Mathematics - 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 - 540 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 ABCDE can be divided into as many triangles as the figure has sides, by... | |
| John Playfair - Geometry - 1836 - 114 pages
...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.... | |
| Mathematics - 1836 - 472 pages
...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... | |
| Adrien Marie Legendre - Geometry - 1837 - 359 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 angles, is equal to twice as... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...resolved into as many triangles as the figure has sides ; the sum total of their angles is, therefore, **equal to twice as many right angles as the figure has sides.** Now, the sum of the angles about the common vertex of these triangles = 4 rt. /.s; therefore, the sum... | |
| Commissioners of National Education in Ireland - 1837
...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... | |
| Euclid - Geometry - 1837 - 410 pages
...&c. 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... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...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... | |
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