 | Pierce Morton - Geometry - 1830 - 584 pages
...four right angles ; and the. figure 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, Sty. Cor. The four angles of a quadrilateral are together equal to four right angles.... | |
 | Euclid - Euclid's Elements - 1833 - 216 pages
...figure has sides (1): but the angles at the point F are equal to four right angles (2); and therefore the angles of the figure, together with four right...equal to twice as many right angles as the figure has sides. Cor. 7. The external angles of any rectilineal figure are together equal to four right angles.... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...isf equal to two right angles ; all the interior together with all the exterior angles of the figure, are equal to twice as many right angles as the figure has sides. But (by Cor. 1 .) all the interior angles are together equal to twice as many right angles as... | |
 | Euclid - 1835 - 540 pages
...angles. Wherefore, " if a side of a triangle," &c. 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,... | |
 | Mathematics - 1835 - 684 pages
...angles of any rectilineal figure are together equal to four right angles : and all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides. For, if from any point in the same plane, straight lines be drawn, one after the other, parallel... | |
 | John Playfair - Geometry - 1836 - 148 pages
...with the angles at the point F which is the common vertex of the triangles ; that is (Cor. 2. 3. 1.), together with four right angles. Therefore all the...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... | |
 | Mathematics - 1836 - 488 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 angles» 2. All the exterior angles of any rectilineal figure are to. gether... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...with the angles at the point F, which is the common vertex of the triangles ; that is (1. 15, Cor. 2), together with four right angles. Therefore all the...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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...° 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 - 1838 - 264 pages
...the figure, together with the angles at the point F, which is the common vertex of «2cor is i "le triangles; that is,* together with four right angles....equal to twice as many right angles as the figure has sides. COB. 2. — All the exterior angles of any rectilineal figure are together equal to four right... | |
| |
F, which is the common vertex of the triangles ; that is, together 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. 
