Search results
Results from the WOW.Com Content Network
Identical circles in a hexagonal packing arrangement, the densest packing possible Hexagonal packing through natural arrangement of equal circles with transitions to an irregular arrangement of unequal circles. In the two-dimensional Euclidean plane, Joseph Louis Lagrange proved in 1773 that the highest-density lattice packing of circles is the ...
In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the Euclidean plane refers to the ...
Plane equation in normal form. In Euclidean geometry, a plane is a flat two-dimensional surface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional space. A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimal thin.
A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described with two coordinates or they can move in two independent directions. Common two-dimensional spaces are often called planes, or, more generally, surfaces. These include analogs to physical ...
In geometry, a disk (also spelled disc) [1] is the region in a plane bounded by a circle. A disk is said to be closed if it contains the circle that constitutes its boundary, and open if it does not. [2] For a radius, , an open disk is usually denoted as and a closed disk is ¯.
This special line is the radical line of the two circles. Intersection of two circles with centers on the x-axis, their radical line is dark red. Special case = = = : In this case the origin is the center of the first circle and the second center lies on the x-axis (s. diagram).
This is the largest distance between any two points on the circle. It is a special case of a chord, namely the longest chord for a given circle, and its length is twice the length of a radius. Disc: the region of the plane bounded by a circle. In strict mathematical usage, a circle is only the boundary of the disc (or disk), while in everyday ...
classical Moebius plane:2d/3d-model. We start from the real affine plane () with the quadratic form (,) = + and get the real Euclidean plane: is the point set, the lines are described by equations = + or = and a circle is a set of points that fulfills an equation