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" The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles. "
A Text-book of Geometry - Page 69
by George Albert Wentworth - 1888 - 386 pages
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...of an equiangular polygon of 2 (w - 2) n sides is equal to right angles. 68 PROPOSITION XL. THEOREM. 207, The exterior angles of a polygon, made by producing...the int. A of the polygon by A, B, C, D, E, and the corresponding ext. A by a, b, c, d, e. ZA + Z a = 2 rt. A, § 89 and ZB + Z. b = 2 rt. A, {being sup....
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...an equiangular polygon of 2 (n - 2) n sides tg equal to —* right angles. PROPOSITION XL. THEOREM. 207. The exterior angles of a polygon, made by producing...the int. A of the polygon by A, B, C, D, E, and the corresponding ext. A by a, b, c, d, e. AA + Aa = 2ii.A, § 89 and ZB + Z b = 2 rt. A, (being sup. -adj....
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...equal to — right angles. Iv PROPOSITION XL. THEOREM. 207 The exterior angles of a polygon, made ty producing each of its sides in succession, are together...the int. A of the polygon by A, B, C, D, E, and the corresponding ext. A by a, b, c, d, e. Z A + Z a = 2 rt. A, § 89 and Z B + Z b = 2 rt. A, (being sup.-adj....
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...are mutually equilateral and mutually equiangular, they are equal, for they can be made to coincide. 207. The exterior angles of a polygon, made by producing...succession, are together equal to four right angles. 208. Two points are said to be symmetrical with respect to a third point, called the centre of symmetry,...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...an equiangular polygon of 2 (n - 2) n stdes ts equal to — rtght angles. PROPOSITION XL. THEOREM. 207. The exterior angles of a polygon, made by producing...of its sides in succession, are together equal to your right angles. Let the figure ABODE be a polygon, having its sides produced in succession. To prove...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...equiangular polygon of n sides is equal to right angles. PROPOSITION XL. THEOREM. 207. The exterior angle* of a polygon, made by producing each of its sides in succession, are tot/ether equal to four right angles. Let the figure ABCDE be a polygon, having its sides produced...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1902 - 266 pages
...many right angles as the figure has sides, less four right angles. PROPOSITION XXVII. THEOREM. 126. The exterior angles of a polygon, made by producing...together equal to four right angles. Let the figure ABODE be a polygon, having its sides produced in succession. To prove that the sum of the angles, a,...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...are mutually equilateral and mutually equiangular, they are equal, for they can be made to coincide. 207. The exterior angles of a polygon, made by producing...succession, are together equal to four right angles. 208. Two points are said to be symmetrical with respect to a third point, called the centre of symmetry,...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...an equiangular polygon of n sides is equal to 2 (n - 2) n right angles. 58 PROPOSITION XL. THEOREM. 207• The exterior angles of a polygon, made by producing...Proof• Denote the int. A of the polygon by A, B, C, D, JC, and the corresponding ext. A by a, b, c, d, e. ZA + Za = 2it.A, § 89 and ZB + Z b = 2 rt. A, (being...
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Bulletin

Education - 1904 - 738 pages
...are equal. " Demonstrate one of these theorems. i Complete and demonstrate the following: the sum of the exterior angles of a polygon, made by producing each of its sides in succession, is equal to ... 3 Prove that in the same circle or in, equal circles if two chords are unequal, the...
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