| Euclides - 1816 - 592 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... | |
| Rev. John Allen - Astronomy - 1822 - 518 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 [by the... | |
| 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 - 216 pages
...are formed as many triangles as the figure has sides, and, therefore, all their angles taken together **are equal to twice as many right angles as the figure has sides** ( 1 ), but the angles at the point F are equal to four right <z) Cor. 3. angles, (2), and therefore... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...; add all the inward angles A, n, c, &.c. together ; for when the work is right, their sum will be **equal to twice as many right angles as the figure has sides,** wanting 4 right angles. But when there is an angle, a* r, (hat bends inward*, and yon measure the external... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 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 - 1058 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... | |
| George Lees - 1826 - 276 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. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...E, zi. 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 Radford Young - Euclid's Elements - 1827 - 246 pages
...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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