 | Commissioners of National Education in Ireland - 1837 - 284 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... | |
 | Charles Reiner - 1837 - 254 páginas
...vertex of these triangles = 4 rt. /.s; therefore, the sum 01 the interior angles of any polygon is equal to twice as many right angles as the figure has sides less [minus] four. M.—If the number of sides be three, four, five, six, seven, &c., what is the sum... | |
 | Euclides - 1838 - 264 páginas
...«2cor is i "le triangles; that is,* together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal...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 páginas
...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 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 - 378 páginas
...ACB, * i Ax. are also equal* to two right angles. Wherefore, if a side of a triangle, &c. QED COR. 1. All the interior angles of any rectilineal figure,...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 drawing... | |
 | Euclides - 1842 - 316 páginas
...triangles ; that is (2. Cor. 13. 1.), together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal...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 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 - 110 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, James Thomson - 1845 - 382 páginas
...therefore also the angles CBA, BAC, ACB are equal to two right angles. Wherefore, if a side, &c. Cor. 1. All the interior angles of any rectilineal figure,...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 drawing... | |
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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. 
