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. Euclid - Page 66by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| Euclides - 1853 - 146 pages
...angles CBA, BAC, ACB, are equal to two right angles. Wherefore, if a side of any triangle, &c. QED COE. 1. — All the interior angles of any rectilineal...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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angles CBA, BAC, ACB, are equal to two right angles. Wherefore, if a side of a triangle, etc. QED COR. 1. All the interior angles of any rectilineal figure,...with four right angles, are equal to twice as many D right angles as the figure has sides. E.«=^lT"\~~-^, \ 4C-\ For any rectilineal figure ABCDE can... | |
| Euclid - Geometry - 1853 - 176 pages
...internal angles, are equal to twice as many right angles as the figure has sides; but the internal angles, together with four right angles, are equal to twice as many right angles as the figure has sides (6); take away from both the internal angles, and the external angles remain, equal to four right angles... | |
| Euclides - Geometry - 1853 - 334 pages
...the angles of the polygon together with four right angles. But all the angles of the polygon GHKLM together with four right angles are equal to twice as many right angles as the polygon has sides (i. 32. Cor. i), that is, as there are plane angles constituting the solid angle... | |
| William Somerville Orr - Science - 1854 - 534 pages
...the three angles of the triangle are = two right angles, .'. if a side of a triangle, &c. QED Сов. 1. — All the interior angles of any rectilineal figure, together with four right angles, are = twice as many right angles as the figure has sides. For, any rectilineal figure ABODE can be divided... | |
| Popular educator - 1854 - 922 pages
...tiungles are equal to twice as many right anales as the figure has sides. Therefore all the angles of the figure together with four right angles are equal to twice as many right ung'es as the figure has sides. Corollary 2. All the exterior angles of any rectilineal figure, made... | |
| Charles Davies - Geometry - 1854 - 436 pages
...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 - Surveying - 1854 - 114 pages
...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... | |
| Rolla Rouse - 1879 - 400 pages
...40 ... ... ... ... ... 103 The exterior and interior angles of an rectilineal figure, are together equal to twice as many right angles as the figure has sides, 41 ... 104 „ angles are together equal to four right angles, 42 ... ... ... ... „ The interior... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...produced to meet, the angles formed by these lines, together with eight right angles, are together equal to twice as many right angles as the figure has sides. Same proposition. ABC is a triangle right-angled at A, and the angle B is double of the angle C. Show... | |
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