 | Sidney Herbert Wells - 1905 - 246 σελίδες
...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 - 188 σελίδες
...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 - 286 σελίδες
...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 - 576 σελίδες
...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... | |
 | Great Britain. Board of Education - 1912 - 1044 σελίδες
...acute angle, then AD will be greater than half BC. 2. Prove that 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. Find the number of sides of a regular polygon, each angle of which is equal to the sum of an... | |
 | Great Britain. Board of Education - 1912 - 632 σελίδες
...acute angle, then AD will be greater than half BC. 2. Prove that 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. Find the number of sides of a regular polygon, each angle of which is equal to the sum of an... | |
 | Alberta. Department of Education - 1912 - 244 σελίδες
...straight lines shall be parallel. 28—1. 6 8. Prove 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. 8 9. (a) If a straight line be bisected and produced to any point, the rectangle contained by... | |
 | Hippolyte Taine - 1998 - 596 σελίδες
...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... | |
 | 1897 - 734 σελίδες
...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.... | |
 | 280 σελίδες
...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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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. 
