| Euclid, Robert Simson - 1821 - 516 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 - 179 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... | |
| Euclid, Rev. John Allen - 1822 - 494 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 - 551 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 - 372 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
...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 - 513 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 - 324 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 - 186 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
...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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