| Euclides - Geometry - 1853 - 176 pages
...common vertex of the triangles : that is (i. 15, cor. 2), together with four right angles. Therefore **all the angles of the figure, together with four right...twice as many right angles as the figure has sides.** Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right ,ingles.... | |
| 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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angles. Wherefore, if a side of a triangle, etc. QED COR. 1. All the interior angles of any rectilineal **figure, together 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... | |
| Popular educator - 1854 - 922 pages
...angles of these 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... | |
| William Somerville Orr - Science - 1854 - 534 pages
...angles of the ßgure, together with Jour right angle», w = twice as many right angles as theßgure ha> **sides. COR. 2. — All the exterior angles of any rectilineal figure are together** = four right angles. Because every interior angle ABC, with its adjacent exterior angle ABD, is = *Pr.... | |
| 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... | |
| 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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...Wherefore, if a side of any triangle &c. <JE». COROLLARY 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** side*. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides,... | |
| Sir Norman Lockyer - Electronic journals - 1880 - 668 pages
...the flat angle we may take Theorem XXVI. of the syllabus, that the interior angles of any polygon, **together with four right angles, are equal to twice as many right angles as the figure has sides.** In the new notation we would say that the sum of the interior angles of the polygon is equal to a number... | |
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