| Euclides - 1855
...twice as many 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... | |
| 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
...triangles ; that is, 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.** XVI. If two triangles have two sides of the one equal to two sides of the other, each to each, and... | |
| Cambridge univ, exam. papers - 1856
...construction, by 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... | |
| 1856
...are equal to all the angles of the figure (Const.) ; therefore all the angles of the figure, together **with four right angles, are equal to twice as many right angles as the figure** nas sides (Лх. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the pxterior angles... | |
| Henry James Castle - 1856 - 185 sider
...that these 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 - 1856 - 464 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. "... | |
| British and foreign school society - 1857
...produced to meet the alternate sides, also produced, the angles formed by these lines, together with eight **right angles, are equal to twice as many right angles as the** polygon has sides. 4. If two chords intersect in a circle, the difference of their squares is equal... | |
| Moffatt and Paige - 1879
...twice as many 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.** COR. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| Charles Mansford - 1879
...figure with each 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... | |
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