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- Inscribed_figure abstract "In geometry, an inscribed planar shape or solid is one that is enclosed by and "fits snugly" inside another geometric shape or solid. To say that "figure F is inscribed in figure G" means precisely the same thing as "figure G is circumscribed about figure F". A circle or ellipse inscribed in a convex polygon (or a sphere or ellipsoid inscribed in a convex polyhedron) is tangent to every side of the outer figure (but see Inscribed sphere for semantic variants). A polygon inscribed in a circle, ellipse, or polygon (or a polyhedron inscribed in a sphere, ellipsoid, or polyhedron) has each vertex on the outer figure; if the outer figure is a polygon or polyhedron, there must be a vertex of the inscribed polygon or polyhedron on each side of the outer figure. An inscribed figure is not necessarily unique in orientation; this can easily be seen, for example, when the given outer figure is a circle, in which case a rotation of an inscribed figure gives another inscribed figure that is congruent to the original one.Familiar examples of inscribed figures include circles inscribed in triangles or regular polygons, and triangles or regular polygons inscribed in circles. A circle inscribed in any polygon is called its incircle, in which case the polygon is said to be a tangential polygon. A polygon inscribed in a circle is said to be a cyclic polygon, and the circle is said to be its circumscribed circle or circumcircle.The inradius or filling radius of a given outer figure is the radius of the inscribed circle or sphere, if it exists.The definition given above assumes that the objects concerned are embedded in two- or three-dimensional Euclidean space, but can easily be generalized to higher dimensions and other metric spaces.For an alternative usage of the term "inscribed", see the inscribed square problem, in which a square is considered to be inscribed in another figure (even a non-convex one) if all four of its vertices are on that figure.".
- Inscribed_figure thumbnail Inscribed_circles.svg?width=300.
- Inscribed_figure wikiPageExternalLink index.php?title=Inscribed_and_circumscribed_figures&oldid=12164.
- Inscribed_figure wikiPageID "4470203".
- Inscribed_figure wikiPageRevisionID "585927174".
- Inscribed_figure hasPhotoCollection Inscribed_figure.
- Inscribed_figure subject Category:Elementary_geometry.
- Inscribed_figure comment "In geometry, an inscribed planar shape or solid is one that is enclosed by and "fits snugly" inside another geometric shape or solid. To say that "figure F is inscribed in figure G" means precisely the same thing as "figure G is circumscribed about figure F". A circle or ellipse inscribed in a convex polygon (or a sphere or ellipsoid inscribed in a convex polyhedron) is tangent to every side of the outer figure (but see Inscribed sphere for semantic variants).".
- Inscribed_figure label "Figura inscrita".
- Inscribed_figure label "Inscribed figure".
- Inscribed_figure label "内接と外接".
- Inscribed_figure sameAs 内接と外接.
- Inscribed_figure sameAs 내접원.
- Inscribed_figure sameAs Figura_inscrita.
- Inscribed_figure sameAs m.0c482y.
- Inscribed_figure sameAs Q1066790.
- Inscribed_figure sameAs Q1066790.
- Inscribed_figure wasDerivedFrom Inscribed_figure?oldid=585927174.
- Inscribed_figure depiction Inscribed_circles.svg.
- Inscribed_figure isPrimaryTopicOf Inscribed_figure.
