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Valeriepieris circle. A Valeriepieris circle[1][2][3] is a figure drawn on the Earth's surface such that the majority of the human population lives within its interior. The concept was originally popularized by a map posted on Reddit in 2013, made by a Texas ESL teacher named Ken Myers, whose username on the site gave the figure its name. [4]
In aerodynamics, the transform is used to solve for the two-dimensional potential flow around a class of airfoils known as Joukowsky airfoils. A Joukowsky airfoil is generated in the complex plane ( -plane) by applying the Joukowsky transform to a circle in the -plane. The coordinates of the centre of the circle are variables, and varying them ...
Take the intersection point C of the ray OA with the circle P. Connect the point C with an arbitrary point B on the circle P (different from C and from the point on P antipodal to C) Let h be the reflection of ray BA in line BC. Then h cuts ray OC in a point A '. A ' is the inverse point of A with respect to circle P. [4]: § 3.2
Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x − a)2 + (y − b)2 = r2 where a and b are the coordinates of the center (a, b) and r is the radius. Cartesian coordinates are named for René Descartes, whose invention of them in the 17th century revolutionized ...
Cut locus. Geodesics on an ellipsoid (blue) from a single point (for flattening f = 1⁄10, latitude φ1 = −30°) form a segment of a circle of latitude; geodesic circles are shown in green and the cut locus in red. In differential geometry, the cut locus of a point p on a manifold is the closure of the set of all other points on the manifold ...
Annulus (mathematics) Illustration of Mamikon's visual calculus method showing that the areas of two annuli with the same chord length are the same regardless of inner and outer radii. [1] In mathematics, an annulus (pl.: annuli or annuluses) is the region between two concentric circles. Informally, it is shaped like a ring or a hardware washer ...
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