| Euclides - 1814
...the same angles are equal to the angles of the figure, together with the angles at the point F, which **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.... | |
| Euclides - 1816 - 528 pages
...angles CBA, BAC, ACB, are equal to two right angles. Wherefore if a side of a triangle, &c. QED COR. 1. **All the interior angles of any rectilineal figure,...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... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...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. COR. 2. All the exterior angles of any rectilineal figure are tegether equal to four... | |
| Euclid, Robert Simson - Geometry - 1821 - 516 pages
...equal to two right 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 pages
...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... | |
| Rev. John Allen - Geometry - 1822 - 494 pages
...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 - Mathematics - 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 - Astronomy - 1822 - 494 pages
...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 - Navigation - 1824 - 551 pages
...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... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...triangles : that is, (2. Cor. 15. 1 .) together with four right angles. Therefore all the angles of the **figure, together with 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... | |
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