 | George Lees - 1826 - 266 σελίδες
...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 - 1827 - 513 σελίδες
...Wherefore, if a side of a triangle, &c. Q. E, zi. COR. 1. All the interior angles of any rectilineal figure, together with four right angles, are equal...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 σελίδες
...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,... | |
 | Euclid, Dionysius Lardner - 1828 - 544 σελίδες
...has sides (XXXII) ; but the angles at the point F are equal to four right angles (83) ; and therefore the angles of the figure, together with four right...twice as many right angles as the figure has sides. This is the first corollary in the Elements, and the following is the second. (135) COR. 11. — The... | |
 | Ferdinand Rudolph Hassler - 1828 - 180 σελίδες
...angles, as AGD, GDE, and so on, standing in equal segments, are equal to one another; and their sum being equal to twice as many right angles as the figure has sides wanting four: that is, eight right angles, each of these angles of the hexagon is equal eight sixths... | |
 | John Playfair - 1829 - 186 σελίδες
...twice — > -fQ as many right angles as there are sides of the figure. But all the interior angles together with four right angles are equal to twice as many right angles as there are sides of the figure (Prop. L). Therefore all the interior and all the exterior angles are... | |
 | Thomas Curtis - 1829 - 814 σελίδες
...twice as 118 119 липу right angles as the figure has sides. Hence the interior angles of the figure are equal to twice as many right angles as the figure has sides wanting four right angles. Cor. 1. All the interior angles of a quadrilateral figure are together equal... | |
 | Pierce Morton - 1830 - 584 σελίδες
...angle, is equal to two right angles (2.) ; all the interior angles, together with all the exterior angles, are equal to twice as many right angles as the figure has angles. But all the exterior angles are, by the former part of the proposition, equal to four right... | |
 | Euclid - 1833 - 183 σελίδες
...and therefore equal to BAE and EAC. 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... | |
 | Thomas Perronet Thompson - 1833 - 150 σελίδες
...isf equal to two right angles ; all the interior together with all the exterior angles of the figure, are equal to twice as many right angles as the figure has sides. But (by Cor. 1 .) all the interior angles are together equal to twice as many right angles as the figure'... | |
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... twice as many right angles as the figure has sides ; therefore all the angles of the figure together with four right angles, are equal to twice as many right angles as the figure has sides. 
