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" The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two. "
Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ... - Page 17
by George Roberts Perkins - 1856 - 235 pages
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...of 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...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 404 pages
...polygon of any number (n) of sides, as ABCDE. Ef To prove the sum of the angles, A, B, C, D, and E equal to twice as many right angles as the polygon has sides less two. Proof. From any vertex, as J,draw the diagonals, JCand AD. The number of triangles thus formed...
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Science and Industry, Volume 5

Science - 1900 - 870 pages
...necessary 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...
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Coal and Metal Miners' Pocketbook of Principles, Rules, Formulas, and Tables ...

International Correspondence Schools - Mining engineering - 1900 - 728 pages
...regular polygon. If not, it is an irregular polygon. The sum of the interior angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles. To Find the Area of Any Regular Polygon.— Square one of its sides and multiply...
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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...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...
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Plane Geometry by the Suggestive Method

John Alton Avery - Geometry, Modern - 1903 - 136 pages
...of a parallelogram bisect each other. 99. Theorem XLIV. 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. 100. Corollary. In an equiangular polygon of n sides, the value , . , . (2n...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...Cor. 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...
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...the 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...
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Biennial Report of the Superintendent of Public Instruction ..., Volumes 17-19

Education - 1904 - 938 pages
...alternate 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...
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...angles. 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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