User:RDBury/Sandbox
From Wikipedia, the free encyclopedia
Some additional information, the Biographies guidelines state:
Exert great care in using material from primary sources. Do not use, for example, public records that include personal details--such as date of birth, home value, traffic citations, vehicle registrations, and home or business addresses--or trial transcripts and other court records or public documents, unless a reliable secondary source has already cited them.
Presumably this would include searching FEC records or using the Donor Lookup function on OpenSecrets.Org.
Contents |
[edit] Meander curve
A Meander curve is one of a family of curves used to model several phenomena including river meanders.
[edit] Bibliography
River Meanders--theory of Minimum Variance by W.B. Langbein, L.B. Leopold
[edit] Circle
In Euclidean geometry, a circle is that set of all points in a plane at a fixed distance, called the radius, from a fixed point, called the centre. Circles are simple closed curves, dividing the plane into an interior and exterior. Sometimes the word circle is used to mean the interior, with the circle itself called the circumference, which more usually means the length of the circle.
In coordinate geometry a circle with centre (x0,y0) and radius r is the set of all points (x,y) such that
(x - x0)2 + (y - y0)2 = r2
A circle is thus a kind of conic section, with eccentricity zero. All circles are similar, so the ratio between the circumference and radius and that between the area and radius square are both constants. These are 2π and π, respectively, and this is the best known definitions of that constant.
A line cutting a circle in two places is called a secant, and a line touching the circle in one place is called a tangent. The tangent lines are necessarily perpendicular to the radii, segments connecting the centre to a point on the circle, whose length matches the definition given above. The segment of a secant bound by the circle is called a chord, and the longest chord is that which passes through the centre, called the diameter and divided into two radii.
A segment of a circle bound by two radii is called an arc, and the ratio between the length of an arc and the radius defines the angle between them in radians. Some theorems should be mentioned here.
In affine geometry all circles and ellipses become congruent, and in projective geometry the other conic sections join them. In topology all simple closed curves are homeomorphic to circles, and the word circle is often applied to them as a result. The 3-dimensional analog of the circle is the sphere.
Length of the circle's circumference = 2 × pi × radius
Area of the circle = pi × square(radius)
Circles are simple shapes of Euclidean geometry. It is the locus of all points in a plane at a constant distance, called the radius, from a fixed point, called the center. Through any three points not on the same line, there passes one and only one circle.
A chord of a circle is a line segment whose both endpoints lie on the circle. A diameter is a chord passing through the center. The length of a diameter is twice the radius. A diameter is the largest chord in a circle.
Circles are simple closed curves which divide the plane into an interior and an exterior. The circumference of a circle is the perimeter of the circle, and the interior of the circle is called a disk. An arc is any connected part of a circle.
A circle is a special ellipse in which the two foci are coincident. Circles are conic sections attained when a right circular cone is intersected with a plane perpendicular to the axis of the cone.
A circle in the geometry is a round two-dimensional figure that is formed by all points that same distance to a chosen point. The choice is the focal point, indicated m in the figure, and the chosen distance is called the jet, with r indicated in the figure.
Sometimes to the size of a circle to indicate the radius instead used the diameter (d in the figure). This is the greatest distance between two points of the circle, and exactly 2 times as large as the jet.
Sometimes the circle is not the curve on the outside, but the collection of all points within that curve. Mathematically speaking, that is incorrect, all points within a circle forms a disk.
A segment on the border on the circle, called a chord. Each chord passing through the centre of the circle has a diameter of that circle. The length of the diameter is the diameter.
In Euclidean geometry, a circle is the place of the points of the plan that are situated at a distance date, said radius from the circle, from a fixed point, said the centre circle. The circles are simple closed curves, which divide the floor in an interior and exterior. They are conical with eccentricity nothing. The plan contained in a circle along the circumference, is called circle.
The term district is one of the most important terms of plane geometry. A circle is defined as the quantity (geometric place) of all points of the Euclidean levels, the distance from a given point M equal to a fixed number of positive r is rational. The circle is also the location of all points line with this property.
The term circle has several meanings derived from its original meaning geometric. In its first sense, the circle is "round", the ideal figure which reduces the form of numerous natural or artificial objects: the Sun, an eye, the circumference of a tree or a wheel.
For a long time, the current language employed the term both to appoint the curve (circumference) that it delineates the surface. Nowadays, mathematics, the circle is limited to the curve, the surface is called disk.
A circle is a figure without any angle. A circle is defined by a set of points at equal distance from a known center of the circle.
