| Euclides - 1855
...triangles are equal to 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... | |
| William Mitchell Gillespie - 1855 - 524 Seiten
...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. "... | |
| Cambridge univ, exam. papers - 1856
...also be equal. Prove this also without construction, by superposition. 3. Prove that all the internal **angles of any rectilineal figure, together with four...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
...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... | |
| 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 - 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 equal... | |
| William Mitchell Gillespie - 1856 - 478 Seiten
...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. "... | |
| William Mitchell Gillespie - 1857 - 538 Seiten
...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. "... | |
| W J. Dickinson - 1879 - 36 Seiten
...produced to meet, the angles formed by these lines, together with eight right angles, are together **equal to twice as many right angles as the figure has sides.** Same proposition. ABC is a triangle right-angled at A, and the angle B is double of the angle C. Show... | |
| Rolla Rouse - 1879
...40 ... ... ... ... ... 103 The exterior and interior angles of an rectilineal figure, are together **equal to twice as many right angles as the figure has sides,** 41 ... 104 „ angles are together equal to four right angles, 42 ... ... ... ... „ The interior... | |
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