 | Charles Davies - 1854 - 436 σελίδες
...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 - 270 σελίδες
...angles, and there are as many triangles in the figure as it has sides, all the angles of these triangles are equal to twice as many right angles as the figure has sides. But all the angles of these triangles are equal to the interior angles of the figure, viz. ABС, BСD,... | |
 | William Mitchell Gillespie - 1855 - 436 σελίδες
...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. "... | |
 | Henry James Castle - 1856 - 220 σελίδες
...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 to four times... | |
 | Euclides - 1856 - 168 σελίδες
...EUCLID I. 32, Cor. All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. For any rectilinear figure ABCDE (Fig. 10) can be divided into as many triangles as the figure has... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...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... | |
 | William Mitchell Gillespie - 1856 - 478 σελίδες
...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. "... | |
 | Thomas Hunter - 1878 - 142 σελίδες
...other, the remaining angles must be equal. Cor. 2. The sum of all the interior angles of a polygon is equal to twice as many right angles as the figure has sides, minus four right angles. In the case of the triangle, this corollary has just been demonstrated; for,... | |
 | Āryabhaṭa - 1878 - 100 σελίδες
...been proved by the foregoing corollary, that all the interior angles together with four right angles are equal to twice as many right angles as the figure has sidesTherefore all the interior angles together with all the exterior angles are equal (Ax. 1) to all... | |
 | Joseph Wollman - 1879 - 120 σελίδες
...32. Corollary 1. — The interior angles of any rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides. The angles of a regular hexagon + 4 right angles = 12 right angles ; .-. The angles of a regular hexagon... | |
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All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. 
