 | Moffatt and Paige - 1883
...Therefore, if a side of any triangle be produced, etc. 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,... | |
 | Mathematical association - 1883
...triangle the two acute angles are complementary. THEOR. 26. All the interior angles of any convex polygon together with four right angles are equal to twice as many right angles as the polygon has sides. THEOR. 27. The exterior angles of any convex polygon made by producing the sides... | |
 | Stewart W. and co - 1884
...many right angles as there are triangles, that is, as there are sides of the figure ; and the same angles are equal to the angles of the figure, together...equal to twice as many right angles as the figure has sides. XXXIII. — The straight lines which join the extremities of two equal and parallel straight... | |
 | Palaestra Oxoniensis - 1884
...in a point are together equal to four right angles. (б) 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. (6) All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
 | Woolwich roy. military acad - 1884
...perpendicular without producing the given line. 1. Prove that 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. There are two regular polygons, the number of sides of one is double the number of sides of... | |
 | Euclides - 1884
...any triangle &c. QED COROLLARY I. TO PROPOSITION XXXII. 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. Any rectilineal figure can be divided into as many triangles as the figure has sides, by drawing... | |
 | Mathematical association - 1884
...triangles make up the interior angles of the polygon, therefore the interior angles of the polygon together with four right angles are equal to twice as many right angles as the polygon has sides. QED Ex. 45. Prove Theor. 26 by joining one angular point of the polygon to all the... | |
 | Association for the improvement of geometrical teaching - 1884
...equal to the angles formed by the second pair. THEOR. 36. All the interior angles of any convex polygon together with four right angles are equal to twice as many right angles as the polygon has sides. Let ABCDE be any convex polygon : A then shall all the interior angles of ABCDE... | |
 | Euclides - 1884
...of these triangles ; and the angles at F are equal to four right angles ; (I. 15, Cor. 2) therefore the angles of the figure, together with four right angles, are equal to the angles of all the triangles. But it has been proved that the angles of the triangles are equal... | |
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F, which is the common vertex of the triangles ; that is, together with four right angles. 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. 
