| 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
...are equal (I. 32) to two right angles, 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,... | |
| 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. "... | |
| Euclides - 1856 - 168 pages
...straight lines from a point F within the figure to each of the angles. And by the last proposition **all the angles of these triangles are equal to twice as many right angles as** there are triangles or sides to the figure. And the same angles are equal to the internal angles of... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...superposition. 3. 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... | |
| Henry James Castle - Surveying - 1856 - 220 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... | |
| William Mitchell Gillespie - Surveying - 1856 - 478 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. "... | |
| William Mitchell Gillespie - Surveying - 1857 - 538 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. "... | |
| Surveying - 1878 - 534 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. "... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...other, the remaining angles must be equal. Cor. 2. The sum of all the interior angles of a polygon is **equal to twice as many right angles as the figure has sides,** minus four right angles. In the case of the triangle, this corollary has just been demonstrated; for,... | |
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