 | Euclid, Robert Simson - 1821 - 514 Seiten
...angles. Wherefore if a side of a triangle, &c. QED COK. 1. All the interior aigles of any rectilineal figure, together with four right angles, are equal to twice as many right E' angles as the figure has sides. For any rectilineal figure ABCDE can be divided into as many triangles... | |
 | Euclid - 1822 - 222 Seiten
...therefore equal to B AE and EAC. Cor. 6. All the internal angles of any rectilineal figure, ABCDE, together with four right angles, are equal to twice as many right angles as the figure has sides. Take any point F within the figure and draw the right lines FA, FB, FC, FD, and FE. There are... | |
 | Rev. John Allen - 1822 - 508 Seiten
...as many right angles, except four, as the figure has sides ; and all tbe angles of these triangles are equal to twice as many right angles as the figure has sides (32. 1 /CM.), therefore the angles of these triangles which are at their common vertex A, being... | |
 | Edward Riddle - 1824 - 572 Seiten
...twice as many right angles as the figure has sides ; or the interior angles of the figure, themselves, are equal to twice as many right angles as the figure has sides, wanting four right angles. QED Cor. 1. All the interior angles of any quadrilateral figure are... | |
 | Peter Nicholson - 1825 - 1046 Seiten
...the angles at the point F, which is the common vertex of the triangles : that is, (2. Cor. 15. 1 .) together with four right angles. Therefore all the...four right angles, are equal to twice as many right angit's as the figure has sides. Cor. 2. All the exterior angles of any rectilineal figure are together... | |
 | George Lees - 1826 - 276 Seiten
...to all the angles of the figure, together with four right angles ; that is, the angles of the figure are equal to twice as many right angles, as the figure has sides wanting four. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and... | |
 | Robert Simson - 1827 - 546 Seiten
...common vertex of the tri• 2 Cor. angles; that is * together with four right angles. There1s, 1. fore all the angles of the figure, together with four right...equal to twice as many right angles as the figure has sides. COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
 | Euclid, Dionysius Lardner - 1828 - 542 Seiten
...has sides (XXXII) ; but the angles at the point F are equal to four right angles (83) ; and therefore the angles of the figure, together with four right...equal to twice as many right angles as the figure has sides. This is the first corollary in the Elements, and the following is the second. (135) COR. 11.... | |
 | John Playfair - 1829 - 210 Seiten
...twice — > -fQ as many right angles as there are sides of the figure. But all the interior angles together with four right angles are equal to twice as many right angles as there are sides of the figure (Prop. L). Therefore all the interior and all the exterior angles are... | |
 | Thomas Curtis - 1829 - 814 Seiten
...twice as 118 119 липу right angles as the figure has sides. Hence the interior angles of the figure are equal to twice as many right angles as the figure has sides wanting four right angles. Cor. 1. All the interior angles of a quadrilateral figure are together... | |
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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. 
