| Royal Military Academy, Woolwich - 1853
...with the angles at the point F, which is the common vertex of the triangles ; that is, (2 Cor. 15. i.) **together with four right angles. Therefore all the...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.... | |
| Euclid - 1853 - 136 páginas
...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... | |
| Popular educator - 1854
...all the angles of all the triangles thus formed are equal to all the angles of the figure (Conit.) ; **therefore all the angles of the figure, together with...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... | |
| E.W. Beans - 1854
...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 - 1854 - 432 páginas
...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... | |
| Euclides - 1855
...all the angles of these triangles are equal to twice as many right angles as the figure has sides. **Therefore all the angles of the figure together with...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... | |
| W.M. Gillespie, A.M., Civ. Eng - 1855
...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. "... | |
| Euclides - 1856
...figure, together with the angles at the point F, which is the common vertex of the triangles ; that is, **together with four right angles. Therefore all the...twice as many right angles as the figure has sides.** XVI. If two triangles have two sides of the one equal to two sides of the other, each to each, and... | |
| Euclides - 1879
...1) Therefore, if a side of any triangle, &c. QED 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 figure ABCDE can be divided into as many As as it has sides, by drawing st. lines from a pt.... | |
| Michael McDermott - 1879 - 586 páginas
...and then mark the Y and telescope for future operations. 213. All the interior angles of any polygon, **together with four right angles, are equal to twice as many right angles as the figure has sides.** Example. Interior angles A, B, C, D, E, F = n° 4 right angles, 860 Sum = n° + 360° Namber of sides... | |
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