 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...the polygon. The sum of the angles of each triangle is two right angles. Therefore, the sum of the angles of the polygon is equal to twice as many right angles as it has sides, less two. The remark in Article 346 applies as well to this theorem. 434. Let R represent... | |
 | William Frothingham Bradbury - Geometry - 1872 - 88 pages
...-\- b = two right angles (7), and so of he angles at C, D, Д &c. ; .-. the sum of the angles of the of the polygon is equal to twice as many right angles as the figure has sides, lacking four right angles ; .-. a -\- b -\- с -\- d -f-/ = four right angles. 95... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...re.entrant angle. FIG. 186. PROPOSITION XT. 253. Theorem. — The sum of the inferior angles of a polygon s* equal to twice as many right angles as the polygon has sides, less four right angles. DEM. — Let n be the number of sides of any polygon; then the sum of its angles... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...they be similar. For, the corresponding angles in each are equal, because any angle in F( >C either polygon is equal to twice as many right angles as the polygon has sides, less four right angles, divided by the number of angles (B. I, P. XXVI , C. 4); and further, the corresponding... | |
 | Edward Atkins - 1874 - 428 pages
...circle, the sum of the angles in the segments exterior to the polygon, together with two right angles, is equal to twice as many right angles as the polygon has sides. 20. Draw the common tangents to two given circles. 21. From a given point draw a straight line cutting... | |
 | Edward Atkins - 1874 - 426 pages
...circle, the stun of the angles in the segments exterior to the polygon, together with two right angles, is equal to twice as many right angles as the polygon has aides. SO. Draw the common tangents to two given circles. 21. From a given point draw a straight line... | |
 | William Alexander Willock - Circle - 1875 - 196 pages
...corresponding external is equal to two right angles, the sum of all the internal and all the external is equal to twice as many right angles as the polygon has angles, or sides. If we take from this latter sum the four right angles to which the external angles... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...the sum of all angles about 0 is equal to four right angles ( P. 3, Cor. 3 ). Hence, the sum of the angles of the polygon is equal to twice as many right angles as the polygon has sides, less four right angles, which was to be proved. Cor. The sum of the angles of a quadrilateral is equal... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...treated of in this work are supposed to be salient. PROPOSITION XXV. THEOREM. The sum of the angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. Let ACDEG be a polygon and let 0 be a point within it. From 0 draw lines to... | |
 | Edward Olney - Geometry - 1877 - 272 pages
...least one re-entrant angle. PROPOSITION XV. 233. TJieorem, — 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 any polygon; then the sum... | |
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... polygon, is equal to twice as many right angles as the polygon has sides minus two. 
