 | Webster Wells - Geometry - 1886 - 392 pages
...formed at any one vertex is two right angles (§ 31). Hence the sum of all the interior and exterior angles is equal to twice as many right angles as the polygon has sides. But the sum of the interior angles alone is equal to twice as many right angles as the polygon has... | |
 | Charles Davies - Geometry - 1886 - 352 pages
...as there are sides of the polygon : hence, the sum of all the interior and exterior angles will be equal to twice as many right angles as the polygon has sides. But the sum of all the interior angles together with four right angles, is equal to twice as many right... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...are equal to two right angles : that the sum of the angles of any rectilineal figure together with four right angles is equal to twice as many right angles as the figure has sides : and that the sum of the distances of any point from the angular points of the figure... | |
 | Euclid - Geometry - 1890 - 442 pages
...of them, if they are equal. 57 THEOREM (3) — The sum of all the interior angles of any polygon and four right angles, is equal to twice as many right angles as there are sides to the polygon. Let ABCD &c., be any polygon. Take any pt. O within it ; and join O... | |
 | Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...of the exterior angles will equal four right angles. 16. The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. EXAMPLES. The sum of the interior angles of a quadrilateral = (2X4)— 4 =... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...angles. Let AD represent any convex polygon. To prove that the sum oj the interior angles of the polygon is equal to twice as many right angles as the polygon has sides, minus jour right angles. Suggestion i. Connect each vertex with O, any point within the polygon. 2.... | |
 | Bennett Hooper Brough - Mine surveying - 1894 - 390 pages
...included angle between the two lines. The sum of the included angles should, with four right angles, be equal to twice as many right angles as the polygon has sides. Station-Line. Distance. Magnetic Bearing. Inclination, Descending. Clmins. Shaft to A 4-58 98° 25'... | |
 | Mansfield Merriman, John Pascal Brooks - Surveying - 1895 - 278 pages
...parallel to the same straight line are parallel to each other. The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides minus four right angles. The sum of the exterior angles formed by producing the sides of a polygon... | |
 | Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1895 - 412 pages
...of a hexagon ? octagon ? decagon ? Thus learn that, in general, The sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides less two sides. j. If all the angles of a pentagon (hexagon, octagon, decagon, dodecagon) are equal,... | |
 | Mansfield Merriman, John Pascal Brooks - Surveying - 1895 - 286 pages
...to the same straight line are parallel to each other. The sum of the interior angles of a polygon ia equal to twice as many right angles as the polygon has sides minus four right angles. The sum of the exterior angles formed by producing the sides of a polygon... | |
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Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon... 
