 | Thomas Newton Andrews - 1881 - 168 sider
...— In Euclid, Book I., Prop, xxxi11., it is proved 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." If we have to describe a pentagon on the base AB, we must first calculate the angles at the base. Thus... | |
 | John Gibson - 1881 - 302 sider
...greater side, or has the greater side opposite to it. 3. 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. 4. Describe a parallelogram that shall be equal to a given triangle BCD, and have one of its angles... | |
 | Thomas Holloway (surveyor.) - 1881 - 132 sider
...four right angles or three hundred and sixty degrees. 3. 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. Although further systems of proof could easily be quoted, I consider the foregoing quite sufficient... | |
 | College of preceptors - 1882 - 528 sider
...for the demonstration of which this one is referred to. 5. 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. 6. The opposite sides and angles of a parallelogram are equal ; and the diameter bisects the parallelogram.... | |
 | 1882 - 498 sider
...also equal, the triangles must be equal in every respect. 4 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. 5. Equal triangles upon equal bases in the same straight line and towards the same parts are between... | |
 | 1882 - 486 sider
...In corollaries to the same proposition it is shown that all the internal angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides ; also, that all the external angles of any rectilineal figure formed by producing the sides in the... | |
 | 1882 - 376 sider
...triangle 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... | |
 | Marianne Nops - 1882 - 278 sider
...two-thirds of a right angle or 60°. III. All the interior angles of any rectilineal figure added to four right angles are equal to twice as many right angles as the figure has sides. Now, any figure can be divided into as many triangles as it has sides by drawing lines from each of... | |
 | Moffatt and Paige - 1883 - 516 sider
...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...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, by... | |
 | 1883 - 654 sider
...generally understood abbreviations for irorJs may be used.] 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. See Corollary to Euclid I. 32. If the figure be equiangular and four interior angles be e ]ual to seven... | |
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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. 
