 | Euclides - 1855 - 270 páginas
...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 - 168 páginas
...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 - 428 páginas
...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 - 200 páginas
...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 - 220 páginas
...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 - 548 páginas
...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 - 1266 páginas
...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 - 256 páginas
...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 - 288 páginas
...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 - 380 páginas
...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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F, which is the common 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 to twice as many right angles as the figure has sides. 
