 Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the sum of the exterior angles.  Elements of Geometry and Trigonometry - Page 43by Adrien Marie Legendre - 1852 - 432 pagesFull view - About this book
 | 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... | |
 | Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1895 - 438 pages
...hexagon ? octagon ? decagon ? Thus learn that, in general, Tfie sum of the angles of any polygon ts 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,... | |
 | Joe Garner Estill - 1896 - 186 pages
...a triangle is greater than the difference of the other two. 4. The sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles. 5. The areas of similar triangles are to each other as the squares of their... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...a triangle is greater than the difference of the other two. 4. The sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles. 5. The areas of similar triangles are to each other as the squares of their... | |
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