Collected angles form Area
In geometry, the circumscribed circle
also called the
circumcircle of
a triangle
is a circle
that Has points
through all three vertices.
of said triangle
The center of this circle
is called the circumcenter
of the triangle,
and the radius
of the circumcircle
is called the circumradius.
The circumcenter
is the point of intersection
among
the three perpendicular bisectors
of the triangle's sides,
and is a triangle center.
More generally, an n-sided polygon
with all its vertices on the same circle,
also called the circumscribed circle,
also is called a cyclic polygon,
also in the special case n = 4,
also called
All rectangles,
and regular polygons
are cyclic,
and
not every polygon is.
a right kite as a right kite
is a kite
where a Kite is
whose four sides can be grouped
into two pairs
of equal-length
sides
that are adjacent
to each other
that can be inscribed
in one circle.[1]
That is,
it is a kite
with a circumcircle
also called a cyclic kite
Thus the right kite
is a convex quadrilateral
and
has two opposite
If there are exactly two right angles,
each must be between sides of different lengths.
All right kites are
quadrilaterals with
both
a circumcircle
and
an incircle
Given all kites have an incircle.
the one that is a line of symmetry
is
One of the diagonals
this one divides
the right kite
into two
and
is also
the diameter of the right circumcircle.
All right kites are harmonic quadrilaterals
since they have
a
circumcircle
and
each pair of
opposite sides has
the same two lengths.
In one with an incircle
A
the four line segments
between
the center of
the incircle
and the points
where it is tangent
to the quadrilateral
partition
the quadrilateral into
four right kites.
In geometry, every polyhedron
is associated with a second dual structure,
wherein
the vertices of one
correspond to the faces of the other
and the edges
between pairs of vertices
of one correspond to
the edges between pairs of faces of the other.[1]
Starting with any given polyhedron,
the double of its double is the original polyhedron .:.
Duality as double ability or divisible by 2 or 3 evenly
preserves the symmetries of a polyhedron.
Therefore, for many classes of polyhedra defined by their symmetries,
the duals belong to a corresponding symmetry class.
For example, the regular polyhedra – the (convex)
Platonic solids and (star) Kepler–Poinsot polyhedra – form dual pairs,
where the regular tetrahedron is self-dual.
The dual of an isotoxal polyhedron (one in which any two edges are equivalent [...]) is also isotoxal.
In geometry, a polytope (for example, a polygon or a polyhedron) or a tiling is isotoxal (from Greek τόξον 'arc') or edge-transitive if its symmetries act transitively on its edges.
τόξον
a girl with long hair tied back in a bow
- loop
- knot
- lace
- ribbon
- longbow
- crossbow
- recurve


































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