| Euclides - Geometry - 1853 - 147 pages
...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.** Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right ,ingles.... | |
| E.W. Beans - 1854
...are 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 - 432 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... | |
| Popular educator - 1854
...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... | |
| 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 - 1855
...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,... | |
| Henry James Castle - Surveying - 1856 - 185 pages
...angles are the exterior angles of an irregular polygon ; and as the sum of all the interior angles are **equal to twice as many right angles, as the figure has sides, wanting** four ; and as the sum of all the exterior, together with all the interior angles, are equal to four... | |
| Cambridge univ, exam. papers - 1856
...Prove that all the internal angles of any rectilineal figure, together with four right angles, are **equal to twice as many right angles as the figure has sides;** and that all the external angles are together equal to four right angles. In what sense are these propositions... | |
| Euclides - 1856
...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.** XVI. If two triangles have two sides of the one equal to two sides of the other, each to each, and... | |
| William Mitchell Gillespie - Surveying - 1856 - 464 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. "... | |
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