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A circle divided into a gibbous shape (light grey) and an astronomical crescent shape (dark grey) by a half-ellipse, where the major axis of the ellipse coincides with a diameter of the circle. According to geometry, an illuminated hemisphere of a sphere will appear to take on such gibbous or crescent shapes when viewed from an angle.
The half-tangent (tangent of half an angle measure) is the stereographic projection of a point on the unit circle onto the vertical axis. Items portrayed in this file depicts
Free files can be moved to the Wikimedia Commons. This category is not shown on its member pages unless the appropriate user preference (appearance → show hidden categories) is set. Media in category "Public domain images ineligible for copyright (shape)"
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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Images featured on the Astronomy Picture of the Day (APOD) web site may be copyrighted. The National Space Science Data Center (NSSDC) site has been known to host copyrighted content. Its photo gallery FAQ states that all of the images in the photo gallery are in the public domain "Unless otherwise noted."
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This image or media file may be available on the Wikimedia Commons as File:No circle.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.