 | Euclid - Mathematics, Greek - 1908 - 576 pages
...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 - Education - 1912 - 244 pages
...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 - Mathematics - 1912 - 632 pages
...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 - Education - 1912 - 1044 pages
...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... | |
 | Hippolyte Taine - Psychology - 1998 - 596 pages
...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... | |
 | 280 pages
...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... | |
 | Forests and forestry - 1891 - 628 pages
...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.... | |
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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. 
