| 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 - 480 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 - 426 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 - 578 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 - 658 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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