| Euclides - 1821
...angle. Cor. 6 AH the internal angles of any rectilineal figure together with four right angles are = **to twice as many right angles as the figure has sides. For** if yon assume any. point within the given figure and draw lines from each of the angles to it, the... | |
| Euclid - 1822 - 179 sider
...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 formed... | |
| Euclid, Rev. John Allen - 1822 - 494 sider
...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 those... | |
| Charles Hutton - 1822
...triangles, is equal to two right angles (th. 17) ; therefore the sum of the angles of all the triangles is **equal to twice as many right angles as the figure has sides.** But the sum of all the angles about the point p, which are so / many of the angles of the triangles,... | |
| Euclid, Rev. John Allen - 1822 - 494 sider
...two right angles [13. 1} ; therefore all the exterior and interior angles of the figure are together **equal to twice as many right angles as the figure has sides** ; but the interior angles are equal to twice as many right angles, except four, as the figure has sides... | |
| Edward Riddle - 1824 - 551 sider
...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 together... | |
| John Playfair - 1826 - 320 sider
...right angles as the figure has sides, wanting lour right angles. For any reetilineal figure ABCDE ean **be divided into as many triangles as the figure has sides, by drawing straight lines** trooi a point F within the figure to eaeh of its angles. And, by the preeeding proposition, all the... | |
| 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 a side... | |
| Robert Simson - 1827 - 513 sider
...that is * together with four right angles. There1s, 1. fore 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. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| John Radford Young - 1827 - 208 sider
...in each triangle amounts to two right angles, therefore the angles of all the triangles are together **equal to twice as many right angles as the figure has sides,** that is to say, the sum of the angles of the polygon, together with those about the point within it,... | |
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