Midpoint polygon
Encyclopedia
In geometry
, the midpoint polygon of a polygon
is the polygon whose vertices
are the midpoint
s of the edge
s of .
It is sometimes called the Kasner polygon after Edward Kasner
, who termed it the inscribed polygon "for brevity".
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, the midpoint polygon of a polygon
Polygon
In geometry a polygon is a flat shape consisting of straight lines that are joined to form a closed chain orcircuit.A polygon is traditionally a plane figure that is bounded by a closed path, composed of a finite sequence of straight line segments...
is the polygon whose vertices
Vertex (geometry)
In geometry, a vertex is a special kind of point that describes the corners or intersections of geometric shapes.-Of an angle:...
are the midpoint
Midpoint
The midpoint is the middle point of a line segment. It is equidistant from both endpoints.-Formulas:...
s of the edge
Edge (geometry)
In geometry, an edge is a one-dimensional line segment joining two adjacent zero-dimensional vertices in a polygon. Thus applied, an edge is a connector for a one-dimensional line segment and two zero-dimensional objects....
s of .
It is sometimes called the Kasner polygon after Edward Kasner
Edward Kasner
Edward Kasner who studied under Cassius Jackson Keyser, was a prominent American mathematician who was appointed Tutor on Mathematics in the Columbia University Mathematics Department...
, who termed it the inscribed polygon "for brevity".