| 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...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 straight... | |
| 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...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 the other,... | |
| 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. (7)... | |
| 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... | |
| 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... | |
| 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... | |
| 1885
...that the sum of the interior angles of any rectilineal figure together witli four right angles, is **equal to twice as many right angles as the figure has sides.** 5. Prove that the opposite sides and angles of a parallelogram are equal to one another, and that the... | |
| Charles Davies, Adrien Marie Legendre - 1885 - 512 sider
...eight right angles, or $ of one right angle. Cor. 4. In any equiangular polygon, any interior angle is **equal to twice as many right angles as the figure has sides,** less four right angles, divided by the mimber of angles. PROPOSITION XXVII. THEOREM. The sum of the... | |
| William Davis Haskoll - 1886 - 230 sider
...of the angles having been correctly measured, because all the interior angles of the polygon will be **equal to twice as many right angles as the figure has sides,** less four right angles, or 360°, if the theodolite has been correctly used. There will, however, generally... | |
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