| Euclides - 1855
...all the angles of these triangles are equal to twice as many right angles as the figure has sides. **Therefore all the angles of the figure together with...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... | |
| Euclides - 1856
...angles as there are triangles or sides to the figure. And the same angles are equal to the internal **angles of the figure, together with the angles at...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,... | |
| 1856
...all the angles of all the triangles thus formed are equal to all the angles of the figure (Const.) ; **therefore all the angles of the figure, together with...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... | |
| 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 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... | |
| Henry James Castle - 1856 - 185 Seiten
...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... | |
| 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... | |
| 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... | |
| Elias Loomis - 1858 - 234 Seiten
...F, that is, together with four right angles (Prop. V., Cor. 2). Therefore the angles of the polygon **are equal to twice as many right angles as the figure has** sides, wanting four right angles. Cor. 1. The sum of the angles of a quadrilateral is four right angles... | |
| Euclides - 1860
...with the angles at the point O, which is the common vertex of the triangles ; that is (I. 15, Cor. 2), **together with four right angles. Therefore all the...equal to twice as many right angles as the figure has** sides. Let the sum of the interior angles be denoted by I, the number of sides by n, and a right angle... | |
| Robert Potts - 1860 - 361 Seiten
...that the angles of the triangles are equal to twice as many right angles as the figure has sides ; **therefore all the angles of the figure together with...equal to twice as many right angles as the figure has** sides. COE. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
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