| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...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... | |
| Charles Hutton - Mathematics - 1822 - 618 pages
...outward, or inward angles, as the figure IMS sides : therefore the sum of all the inward and outward **angles, is equal to twice as many right angles as the figure has sides.** But the sum of all the inward angles, with four right angles, is equal to twice as many right angles... | |
| Rev. John Allen - Astronomy - 1822 - 516 pages
...FC, FD, FE ; there are formed as many triangles as the figure has sides, all the angles of which are **equal to twice as many right angles as the figure has sides** [by this prop.] ; but of these all the angles about the point F are equal to four right angles [Ctor.... | |
| Euclid - 1822 - 179 pages
...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... | |
| 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 - 372 pages
...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 - 266 pages
...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... | |
| John Radford Young - Euclid's Elements - 1827 - 208 pages
...the single interior opposite angle CDE. PROPOSITION XVir. THEOREM. In any polygon the sum of all the **angles is equal to twice as many right angles as the figure** lias sides, all but four right angles. For if from the vertices of the several angles, lines be drawn... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...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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