 | George Lees - 1826 - 276 pagina’s
...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 - 546 pagina’s
...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 - 1827 - 246 pagina’s
...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,... | |
 | Ferdinand Rudolph Hassler - 1828 - 180 pagina’s
...all the angles of the triangles, there remain all the angles of the poligon, their sum will therefore be equal to twice as many right angles as the figure has sides wanting these four right angles; as was to be demonstrated. Carol. 1. When all the sides or all the... | |
 | Euclid, Dionysius Lardner - 1828 - 542 pagina’s
...right angles as the figure has sides ; but the internal angles, together with four right angles, are equal to twice as many right angles as the figure has sides (134). Take from both, the internal angles and the external remain equal to four right angles. %* This... | |
 | Thomas Curtis - 1829 - 814 pagina’s
...exterior angle being equal to two right angles (Theorem VI.), all the interior and exterior angles will be equal to twice as many right angles as the figure has sides, or equal to the interior angles and four right angles ; therefore the exterior angles are equal to... | |
 | John Playfair - 1829 - 210 pagina’s
...diagonals &c. QED PROPOSITION L. THEOREM. All the interior angles of any rectilineal figure arc together equal to twice as many right angles as the figure has sides, wanting four right angles'. Let ABCDE be any rectilineal figure; all its interior angles A, B, C, D,... | |
 | Pierce Morton - 1830 - 584 pagina’s
...equal to four right angles ; and the sum of its interior angles, together with four right angles, is equal to twice as many right angles as the figure has sides . . • 15 (¿•) The area of a rectilineal figure may be obtained by dividing it into triangles,... | |
 | Euclides - 1833 - 304 pagina’s
...= to two right angles, (prop. 13.) Therefore, all the external angles, with all the internal, are = to twice as many right angles as the figure has sides ; but the internal angles, with four right angles, are = to twice as many right angles as the figure has sides;... | |
 | Thomas Perronet Thompson - 1833 - 168 pagina’s
...severally capable of being so divided. And because the interior angles of each of such smaller figures are equal to twice as many right angles as the figure has sides, diminished by four right angles, (or, which is the same thing, to twice as many right angles as the... | |
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Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. 
