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" Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon... "
Elements of Geometry and Trigonometry - Page 31
by Adrien Marie Legendre - 1839 - 269 pages
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Handbook for Surveyors

Mansfield Merriman, John Pascal Brooks - Surveying - 1895 - 286 pages
...to the same straight line are parallel to each other. The sum of the interior angles of a polygon ia equal to twice as many right angles as the polygon has sides minus four right angles. The sum of the exterior angles formed by producing the sides of a polygon...
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Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - Geometry - 1896 - 168 pages
...a triangle is greater than the difference of the other two. 4. 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. 5. The areas of similar triangles are to each other as the squares of their...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pages
...a triangle is greater than the difference of the other two. 4. 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. 5. The areas of similar triangles are to each other as the squares of their...
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Essentials of Geometry (plane).

Webster Wells - Geometry - 1898 - 264 pages
...of 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...
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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 - 398 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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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...of 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...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 450 pages
...the sum of the A of the polygon is n — 2 times 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...
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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 - 872 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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