| Euclid - 1904 - 456 sider
...angles at F, which are equal to four right angles. I. 15, Cor. Therefore all the interior angles of the **figure, together with four right angles, are equal to twice as many right** COROLLARY 2. If the sides of a rectilineal figure, which has no re-entrant angle, are produced in order,... | |
| Sidney Herbert Wells - 1905
...depends upon Corollary I. of Euclid i., 32, which says, that " the interior angles of any straight lined **figure together with four right angles are equal to twice as many right angles as the figure has** sides." The most common of the regular polygons used in engineering designs are the pentagon (five-sided),... | |
| Saskatchewan. Department of Education - 1906
...right angles. — I. 32. (6) What is a Corollary ? Show that 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. (c) Derive the magnitude of an angle of a regular octagon. (d) If the exterior vertical angle... | |
| Henry Sinclair Hall - 1908
...parallel to the base. -ve* f1 — 44 GEOMETRY. COROLLARY 1. ^M <Ae interior angles of any rectilineal **figure, together with four right angles, are equal to twice as many right angles as the figure has** sides. Let ABCDE be a rectilineal figure of & sides. It is required to prove that all the interior... | |
| Euclid - 1908
...course be arranged so as not to assume the proposition that the interior angles of a convex polygon **together with four right angles are equal to twice as many right angles as the figure has** sides. Let there be any convex polyhedral angle with V as vertex, and let it be cut by any plane meeting... | |
| Hippolyte Taine - 1998 - 588 sider
...together equal to four right angles ; hence it follows that the polygon contains a number of angles which, **together with four right angles, are equal to twice as many right angles as** there are sides. — Here the explanatory intermediate is a character comprised in all the elements... | |
| 1891
...an application of Euclid I. 82, Cor. 1, which proves that 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. To be able to apply this test, one must first find out the interior angles from the bearings.... | |
| Great Britain. Committee on Education - 1851
...THOSE ON PHYSICAL SCIENCE AND MECHANICS.) Section 1. 1. 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. 2. Equal triangles upon equal bases, in the same straight line, and towards the same parts,... | |
| 1897
...every triangle are together equal to two right angles. And, 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. And, all the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| ...regular decagon. The corollary to Euc. i. 32 states that all the interior angles of any rectilinear **figure together with four right angles are equal to twice as many right angles as the figure has** sides. Let the angle of a regular decagon contain x right angles, so that all the angles are together... | |
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