| Elias Loomis - 1880 - 443 sider
...complement of the other. PROPOSITION XXVIII. THEOREM. All the interior angles of a polygon, together **with four right angles, are equal to twice as many right angles as the figure** IMS sides. Let ABCDE be any polygon ; then all its interior angles A, B, C, D, E, together with four... | |
| William Frothingham Bradbury - 1880 - 240 sider
...minus two. Let ABCDEF be the given polygon ; the sum of all the interior angles A, B, C, D, E, F, is **equal to twice as many right angles as the figure has sides** minus two. For if from any vertex A, diagonals AC, AD, AE, are drawn, the polygon will be divided into... | |
| William Mitchell Gillespie - 1880 - 524 sider
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is **equal to twice as many right angles, as the figure has sides** less two ; since the figure can be divided into that number of triangles. Hence this common rule. "... | |
| Thomas Newton Andrews - 1881 - 160 sider
...Book I., Prop, xxxi11., it is proved 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."** If we have to describe a pentagon on the base AB, we must first calculate the angles at the base. Thus... | |
| John Gibson - 1881
...has the greater side opposite to it. 3. 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.** 4. Describe a parallelogram that shall be equal to a given triangle BCD, and have one of its angles... | |
| Thomas Holloway (surveyor.) - 1881
...or three hundred and sixty degrees. 3. 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.** Although further systems of proof could easily be quoted, I consider the foregoing quite sufficient... | |
| 1882
...are equal to two right angles; and that all the interior angles of any rectilineal n'gure, together **with four right angles, are equal to twice as many right angles as the figure has sides.** 3. If the square described upon one of the sides of a triangle is equal to the squares described upon... | |
| College of preceptors - 1882
...demonstration of which this one is referred to. 5. 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. The opposite sides and angles of a parallelogram are equal ; and the diameter bisects the parallelogram.... | |
| 1882
...378 ANSWERS AND EXPLANATIONS. 1. All the internal angles of any convex rectilineal figure, together **with four right angles, are equal to twice as many right angles as the figure has sides** (Euclid I., 32 Cor.) n denoting the number of sides : and T two right angles. (n — 2) T = angles... | |
| 1882
...triangles must be equal in every respect. 4 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.** 5. Equal triangles upon equal bases in the same straight line and towards the same parts are between... | |
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