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PR is the diameter of a circle centered on O; its radius AO is the arithmetic mean of a and b. Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b, AO ≥ GQ. A semicircle can be used to construct the arithmetic and geometric means of two lengths using straight-edge and compass.
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PNG: Image:Circle Line.png SVG: Image:Circle Line.svg Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License , Version 1.2 or any later version published by the Free Software Foundation ; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
This logo image consists only of simple geometric shapes or text. It does not meet the threshold of originality needed for copyright protection, and is therefore in the public domain. Although it is free of copyright restrictions, this image may still be subject to other restrictions.
The radius of a circle is perpendicular to the tangent line through its endpoint on the circle's circumference. Conversely, the perpendicular to a radius through the same endpoint is a tangent line. The resulting geometrical figure of circle and tangent line has a reflection symmetry about the axis of the radius.
This image or media file is available on the Wikimedia Commons as File:Semi-protection-shackle.svg, where categories and captions may be viewed. While the license of this file may be compliant with the Wikimedia Commons, an editor has requested that the local copy be kept too.
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Semicircle, a geometric shape that forms half of a circle Topics referred to by the same term This disambiguation page lists articles associated with the title Hemicircle .