| George Lees - 1826
...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 - 513 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 - 208 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 - 159 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 - 324 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
...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 - 186 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 - 272 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
...= 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 - 150 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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