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  2. Triacontagon - Wikipedia

    en.wikipedia.org/wiki/Triacontagon

    Regular triacontagon with given circumcircle. D is the midpoint of AM, DC = DF, and CF, which is the side length of the regular pentagon, is E 25 E 1.Since 1/30 = 1/5 - 1/6, the difference between the arcs subtended by the sides of a regular pentagon and hexagon (E 25 E 1 and E 25 A) is that of the regular triacontagon, AE 1.

  3. Internal and external angles - Wikipedia

    en.wikipedia.org/wiki/Internal_and_external_angles

    The interior angle concept can be extended in a consistent way to crossed polygons such as star polygons by using the concept of directed angles.In general, the interior angle sum in degrees of any closed polygon, including crossed (self-intersecting) ones, is then given by 180(n–2k)°, where n is the number of vertices, and the strictly positive integer k is the number of total (360 ...

  4. Regular polygon - Wikipedia

    en.wikipedia.org/wiki/Regular_polygon

    As n approaches infinity, the internal angle approaches 180 degrees. For a regular polygon with 10,000 sides (a myriagon) the internal angle is 179.964°. As the number of sides increases, the internal angle can come very close to 180°, and the shape of the polygon approaches that of a circle. However the polygon can never become a circle.

  5. Rotation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rotation_(mathematics)

    The rotation group is a Lie group of rotations about a fixed point. This (common) fixed point or center is called the center of rotation and is usually identified with the origin. The rotation group is a point stabilizer in a broader group of (orientation-preserving) motions. For a particular rotation: The axis of rotation is a line of its ...

  6. Conversion of scales of temperature - Wikipedia

    en.wikipedia.org/wiki/Conversion_of_scales_of...

    This is a collection of temperature conversion formulas and comparisons among eight different temperature scales, several of which have long been obsolete.. Temperatures on scales that either do not share a numeric zero or are nonlinearly related cannot correctly be mathematically equated (related using the symbol =), and thus temperatures on different scales are more correctly described as ...

  7. Hexadecagon - Wikipedia

    en.wikipedia.org/wiki/Hexadecagon

    A skew hexadecagon is a skew polygon with 24 vertices and edges but not existing on the same plane. The interior of such a hexadecagon is not generally defined. The interior of such a hexadecagon is not generally defined.

  8. The average rate on a 30-year mortgage in the U.S. eased again this week, slipping to its lowest level since late October. The rate dropped to 6.69% from 6.81% last week, mortgage buyer Freddie ...

  9. Pentagon - Wikipedia

    en.wikipedia.org/wiki/Pentagon

    6a. Construct point F as the midpoint of O and W. 7a. Construct a vertical line through F. It intersects the original circle at two of the vertices of the pentagon. The third vertex is the rightmost intersection of the horizontal line with the original circle. 8a.