| Charles Butler - Mathematics - 1814 - 528 pages
...one right angle b. 141. Cor. S. " All the interior angles," &c. as Cor. 1. in Simson. 142. Cor. 9. **All the interior angles of any rectilineal figure, are equal to twice as many right angles,** except four, as the figure has sides. Thus, let n=zttie number of sides, S= the sum of the interior... | |
| Euclides - 1816 - 588 pages
...&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, by... | |
| John Playfair - 1819 - 354 pages
...all -%• -V 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 together equal to four right angles.... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...many right angles as the figure has sides, wanting four. F°r. all the angles exterior and interior **are equal to twice as many right angles as the figure has sides** ; but the exterior are equal to four right angles ; therefore the interior are equal to twice as many... | |
| Rev. John Allen - Astronomy - 1822 - 508 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... | |
| Euclid - 1822 - 222 pages
...equal (i)Prop. 13. to two right angles (1), therefore all the external angles, with all the internal, **are equal to twice as many right angles as the figure has sides** ; but the internal angles, together with four right angles, are equal to twice as many rightangles... | |
| Rev. John Allen - Astronomy - 1822 - 516 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... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...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,... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 pages
...angles as the figure has sides. But all the interior angles, and four right angles, are also together **equal to twice as many right angles as the figure has sides,** (Theo. 25.) Hence the interior and the exterior angles of the figure are, together, equal to the interior... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...QE I). Cor. 1 . All the interior angles of any rectilínea] 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, by... | |
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