| Charles Davies, Adrien Marie Legendre - 1854 - 432 sider
...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
...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,... | |
| 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. "... | |
| Henry James Castle - 1856 - 185 sider
...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 times... | |
| Cambridge univ, exam. papers - 1856
...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... | |
| Euclides - 1856
...EUCLID I. 32, Cor. 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 rectilinear figure ABCDE (Fig. 10) can be divided into as many triangles as the figure has... | |
| Thomas Hunter - 1878 - 132 sider
...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,... | |
| 1878 - 508 sider
...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. "... | |
| Charles Mansford - 1879 - 104 sider
...of the other angles that the interior angles of any rectilineal figure together with 4 right angles **are equal to twice as many right angles as the figure has sides.** (32.) 113. If two angles have their containing sides respectively parallel to one another the lines... | |
| higginbotham and co - 1879
...MA, I. Prove that 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.** II. Prove the proposition to which the following is a corollary : The difference of the squares on... | |
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