| Charles Davies, Adrien Marie Legendre - 1854 - عدد الصفحات: 432
...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
...equal (Ax. 1) to two right angles. Wherefore, if a side of any triangle be produced, &c. QED СOR. **1. — All the interior angles of any rectilínea]...twice as many right angles as the figure has sides.** Let AB С DE be any rectilineal figure. All the interior angles ABС, BСD, &c. together with four... | |
| 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
...vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the **figure, together with four right angles, are equal...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
...also without construction, by superposition. 3. Prove that all the internal angles of any rectilineal **figure, together with four right angles, are equal...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
...triangles thus formed 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 - عدد الصفحات: 185
...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 - عدد الصفحات: 464
...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. "... | |
| Edward Harri Mathews - 1879
...one 'of the angular points of a rectilineal figure to each of the others, that its interior angles **together with four right angles are equal to twice as many right angles as the** figures has sides. 3. The opposite sides and angles of parallelograms are equal to one another. A quadrilateral... | |
| Charles Mansford - 1879 - عدد الصفحات: 104
...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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