| Commissioners of National Education in Ireland - 1837 - 262 páginas
...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... | |
| Euclid, Robert Simson - 1838 - 416 páginas
...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
...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
...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 - 314 páginas
...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 - 351 páginas
...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
...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 - 317 páginas
...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 - 96 páginas
...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 - 199 páginas
...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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