| Euclides - 1853
...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.** COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclid - 1853 - 136 sider
...There are formed as many triangles as the figure has sides, therefore all their angles taken together **are equal to twice as many right angles as the figure has sides** (a) ; but the angles at the point F are together equal to four right angles (4), therefore all the... | |
| Popular educator - 1854
...divide it into three equal parts. *"'t 3Fig. .42. No. 3. interior angles together with four right angles **are equal to twice as many right angles as the figure has sides.** Therefore all the interior angles together with all the exterior angles are equal (Ax. 1) to all the... | |
| Charles Davies - 1854 - 432 sider
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is **equal to twice as many right angles as the figure has sides,** less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral is equal to two right... | |
| E. W. Beans - 1854 - 108 sider
...taken. If the entire survey has been made as above directed, the sum of all the internal angles will be **equal to twice as many right angles as the figure has sides,** diminished by four right angles. If this sum, as in practice will be likely to be the case, should... | |
| John Playfair - 1855 - 318 sider
...right angles as the figure has sides ; but the exterior are equal to four right angles ; thercfoie **the interior are equal to twice as many right angles...sides wanting four. PROP. II. Two straight lines,** whinh make with a third line the interioi angles on the same side of it less than two right angles,... | |
| Euclides - 1855
...angles, and there are as many triangles in the figure as it has sides, all the angles of these triangles **are equal to twice as many right angles as the figure has sides.** But all the angles of these triangles are equal to the interior angles of the figure, viz. ABС, BСD,... | |
| Thomas Hunter - 1878 - 132 sider
...other, the remaining angles must be equal. Cor. 2. The sum of all the interior angles of a polygon is **equal to twice as many right angles as the figure has sides,** minus four right angles. In the case of the triangle, this corollary has just been demonstrated; for,... | |
| Āryabhaṭa - 1878
...been proved by the foregoing corollary, that all the interior angles together with four right angles **are equal to twice as many right angles as the figure has** sidesTherefore all the interior angles together with all the exterior angles are equal (Ax. 1) to all... | |
| Euclides - 1879
...&c. QED 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 figure ABCDE can be divided into as many As as it has sides, by drawing st. lines from a pt.... | |
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