 | Sidney Herbert Wells - 1905 - 246 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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... | |
 | Alberta. Department of Education - 1912 - 244 Seiten
...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... | |
 | Great Britain. Board of Education - 1912 - 632 Seiten
...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 - 1044 Seiten
...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... | |
 | Euclid - 1933 - 328 Seiten
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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. 
