| Euclides - 1853 - 146 pages
...2.) 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.... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...i.) 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.** COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclides - Geometry - 1853 - 176 pages
...triangle, &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 rectilineal figure abСde, can be divided into as many triangles as the figure has sides, by... | |
| Popular educator - 1854 - 922 pages
...the angles of the figure (Conit.) ; 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** (Ax. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the exterior angles of any rectilineal... | |
| 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... | |
| Euclides - 1855 - 270 pages
...right angles as the figure has sides. 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.** СOR. 2. — All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| William Mitchell Gillespie - Surveying - 1855 - 436 pages
...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. "... | |
| Benjamin Gratz Brown - Geometry - 1879 - 68 pages
...great, or in other words, all the interior angles of any rectilinear figure together with four right **angles, are equal to twice as many right angles as the figure has sides.** Again, parallelograms upon equal bases and with the same altitude are equal. Of all figures bounded... | |
| Joseph Wollman - 1879 - 120 pages
...angle ? I. 32. Corollary 1. — 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.** The angles of a regular hexagon + 4 right angles = 12 right angles ; .-. The angles of a regular hexagon... | |
| |