 | Education, Higher - 1882 - 498 pages
...every respect. 4 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. 5. Equal triangles upon equal bases in the same straight line and towards the same parts are between... | |
 | Marianne Nops - 1882 - 278 pages
...these vertical angles and we have remaining the interior angles of the figure, which will clearly be equal to twice as many right angles as the figure has sides, less four right angles. IV. If we produce all the sides of this figure, we shall have an exterior angle... | |
 | 1882 - 486 pages
...EXPLANATIONS. 1. All the internal angles of any convex rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides (Euclid I., 32 Cor.) n denoting the number of sides : and T two right angles. (n — 2) T = angles... | |
 | Euclides - 1883 - 176 pages
...the base and from one another. COB. l.— The sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, minus four right angles. Take any rectilineal figure, as ABCDEF, and take G, any point within it. Join... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...Th. XXIV. Therefore, if, etc. QUERY. THEOREM XXVI. The sum of the interior angles of a polygon, plus four right angles, is equal to twice as many right angles as the polygon has sides. For, take any polygon, as ABCD E. If from any point within it, as F, lines be drawn... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...Corollary 2. Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. COROLLARY 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...be used.] 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. See Corollary to Euclid I. 32. If the figure be equiangular and four interior angles be equal to seven... | |
 | Education - 1883 - 654 pages
...be used.] 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. See Corollary to Euclid I. 32. If the figure be equiangular and four interior angles be e ]ual to seven... | |
 | Stewart W. and co - 1884 - 272 pages
...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. XXXIII. — The straight lines which join the extremities of two equal and parallel straight lines,... | |
 | Euclides - 1884 - 182 pages
...the figure has sides. 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. QED EXERCISE XXXVIII. 1. If a figure be a pentagon, or five-sided, how many right angles make twice... | |
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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. 
