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The upper half-circle with radius a with a dot at the number i in the complex plane. See also Image:ContourDiagram.png: Date: 14 March 2007, 12:42 (UTC) Source: Own work: Author: Jitse Niesen: Permission (Reusing this file)
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.
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.
The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.
Mortgage rates stalled an upward rise this week as financial markets adjusted to a second Trump presidency. The average 30-year mortgage rate was essentially unchanged at 6.78% for the week ...
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