 | Commissioners of National Education in Ireland - 1837 - 284 pagina’s
...you go along, as also the angles. angles, A, B, C, &c. of the figure together, and their sum must be equal to twice as many right angles as the figure has sides, wanting four right angles. But when the figure has a re-enterant angle, as F, measure the external... | |
 | Robert Simson - 1838 - 434 pagina’s
...with the angles at the point F, which is the common vertex of the triangles : that is, (2 Cor. 15. 1.) together with four right angles. Therefore all the...twice as many right angles as the figure has sides. COR. 2. All the exterior angles of any rectilineal figure, are together equal to four right angles.... | |
 | Euclides - 1838 - 264 pagina’s
...with the angles at the point F, which is the common vertex of «2cor is i "le triangles; that is,* together with four right angles. Therefore all the...twice as many right angles as the figure has sides. COB. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
 | Euclides - 1840 - 192 pagina’s
...two right angles. All the angles, therefore, of the triangles into which the AE figure is divided, are equal to twice as many right angles as the figure has sides. But of these, the angles round the point F are equal to four right angles (Prop. 13, cor.) : if these... | |
 | Dionysius Lardner - 1840 - 386 pagina’s
...supplement of its adjacent external angle, the internal and external angles, taken together, will be equal to twice as many right angles as the figure has sides ; but, from what has been already shown, the external angles alone are equal to four right angles.... | |
 | Euclides - 1841 - 378 pagina’s
...angles. Wherefore, if a side of a triangle, &c. QED 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... | |
 | Euclides - 1842 - 316 pagina’s
...the angles at the point F, which is the common vertex of the triangles ; that is (2. Cor. 13. 1.), together with four right angles. Therefore all the...twice as many right angles as the figure has sides. COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
 | John Playfair - 1842 - 332 pagina’s
...as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior are equal to twice as many right angles as the figure has sides, wanting four. PROP. II. Two straight lines, which make with a third line the interior angles on the... | |
 | Nicholas Tillinghast - 1844 - 110 pagina’s
...two regular polygons, having the same number of sides. The sum of all the angles in each figure is equal to twice as many right angles as the figure has sides, less four right angles (BI A{ Prop. 13), and as the number of sides is the same in each figure, the... | |
 | Euclid - 1845 - 218 pagina’s
...angles at the point F, which is the common vertex of the triangles ; that is, IT together * *5c°r. with four right angles. Therefore all the. angles...twice as many right angles as the figure has sides, COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
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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. 
