 | Thomas Baker (Civil engineer) - 1865 - 278 pages
...considerable distance, there has been an error either in taking the angles or measuring the lines. But since the sum of all the interior angles of a polygon is equal to twice as many right angles as the figure has sides, lessened byfottr right angles, and since the given figure has five sides,... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...thirds of one right angle. PROPOSITION XXIX. — THEOREM. 102. The sum of all the interior angles of any polygon is equal to twice as many right angles, less four, as the figure has sides. Let ABCDE be any polygon ; then the sum of all its interior angles, A, B, C, D, E,... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...angles except three be among the equal parts. 8UM OF THE ANGLE8. 433. Theorem. — The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two. For the polygon may be divided into as many triangles as it has... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...angles is one 'hird of two right angles, or two thirds of one right angle. PROPOSITION XXVIII. THEOREM. The sum of all the interior angles of a polygon, is equal to twice as many right angles, wanting four, as the figurt hat sides Let ABCDE be any polygon ; then the sum of all its interior angles... | |
 | Edward Olney - 1872 - 270 pages
...Polygon is a polygon with at least one re-entrant angle. PROPOSITION XV. 253. Theorem,—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. Fio. 187. DEM.—Let n be the number of sides of... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...angles except three be among the equal parts. SUM OF THE ANGLES. 423. Theorem. — The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two. For the polygon may be divided into as many triangles as it has... | |
 | Walter Smith - Geometrical drawing - 1872 - 72 pages
...the number of degrees in the angle of a regular polygon. The rule is, that the sum of the internal angles of a polygon is equal to twice as many right angles as the figure has sides, minus four angles. The reason of this is, that a regular polygon has the same... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...equal, GC = D II ; therefore, if we add the two equations, we shall have 2 EF= AD + BC or 67. The Bum of the interior angles of a polygon is equal to twice as many riff/d angles as it has sides minus two. Let ABC D EF be the given polygon ; the sum of all the interior... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...polygon with at least one re-entrant angle. PROPOSITION XT. 253. TJieorem. — Tlie sum of the inferior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. DEM. — Let n he the number of sides of any polygon... | |
 | William Frothingham Bradbury - Geometry - 1873 - 288 pages
...equal, G С = DH ; therefore, if we add the two equations, we shall have THEOREM XX. 67« The surn of the interior angles of a polygon is equal to twice as many right angles as it has sides minus two. Let А B С DEF be the given polygon ; the sum of all the interior angles... | |
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THEOREM. The sum of all the interior angles of a polygon, is equal to twice as many right angles, less four, as the figure has sides. 
