 | Webster Wells - 1898 - 264 ページ
...the A of any A is equal to two rt. AJ (§ 84) 127. Cor. I. TJie sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles. "For if R represents a rt. Z., and n the number of sides of a polygon, the... | |
 | Webster Wells - 1899 - 424 ページ
...the A of any A is equal to two rt. A] (§ 84) 127. Cor. I. 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. For if R represents a rt. Z, and n the number of sides of a polygon, the sum... | |
 | William James Milne - 1899 - 258 ページ
...sides. To prove ABCDE and FGHJK similar. Proof. By § 166, the sum of the angles of each polygon is equal to twice as many right angles as the polygon has sides less two. Since, § 374, each polygon is equiangular, and since each contains the same number of angles... | |
 | 1900 - 870 ページ
...to apply the well-known principle of geometry that the turn of UK interior angle* n_f a polygon is equal to twice as many right angles as the polygon has sides, less four right angle*. Thia applies to figures having any number of sides, without regard to whether... | |
 | Edward Brooks - 1901 - 278 ページ
...etc. Proof.— First, the poly- B_ gons are mutually equiangular. For every angle in either polygon is equal to twice as many right angles as the polygon has sides, less four right angles,, divided by the number of sides. I. 36, 2. And since the number of sides in... | |
 | John Alton Avery - 1903 - 136 ページ
....'. ^HEF=QQ°. Auth. Finish proof. THEOREM XLIV 99. 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. Hyp. Let AE be a polygon of n sides. To prove that sum of iut. A of polygon... | |
 | American School (Chicago, Ill.) - 1903 - 390 ページ
...sum of the angles of all the triangles, that is, the sum of the interior angles of the polygon, is equal to twice as many right angles as the polygon has sides minus two. RATIO AND PROPORTION. DEFINITIONS. (NOTE. It is necessary to understand the elementary principles... | |
 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 ページ
...q. ED COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides. Ex. 388. Three of the exterior angles of a quadrilateral are 79°, 117°, 65° ; find the other exterior... | |
 | 1904 - 938 ページ
...Interior angles are equal. 5. Demonstrate: The sum of the interior angles of any convex polygon is equal to twice as many right angles as the polygon has sides, minus four right angles. 6. Show that the area of a square inscribed in a circle is equal to ane-half... | |
 | George Clinton Shutts - 1905 - 260 ページ
...Let AD represent any convex polygon. To prove that the sum of the interior angles of the polygon is equal to twice as many right angles as the polygon has sides, minus four right angles. Suggestion 1. Connect each vertex with O, any point within the polygon. 2.... | |
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... is equal to twice as many right angles as the polygon 
