| 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... | |
| |