| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...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... | |
| Euclid - Euclid's Elements - 1833 - 183 pages
...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 - Geometry - 1834 - 631 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
...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 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... | |
| 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 to four... | |
| 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.... | |
| Commissioners of National Education in Ireland - Measurement - 1837 - 262 pages
...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 angle, which... | |
| Adrien Marie Legendre - Geometry - 1837 - 329 pages
...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 - Geometry - 1837 - 215 pages
...vertex of these triangles = 4 rt. /.s; therefore, the sum 01 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 sum... | |
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