Circumscribe - определение. Что такое Circumscribe
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Что (кто) такое Circumscribe - определение

CIRCLE THAT PASSES THROUGH ALL THE VERTICES OF A POLYGON
Circumcircle; Circumcenter; Cyclic polygon; Circumradius; Circumscribe; Circumscribed; Circumcentre; Circuminscribed; Triangle Circumscribing; Triangle circumscribing; Circumscribes; Circumscribing; Circum-circle; Circumcircular; Concyclic polygon; Alternate segment theorem; Polygon circumscribing constant; Circumdiameter
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  • [[Cyclic quadrilateral]]s
  • A sequence of circumscribed polygons and circles.
  • Alternative construction of the circumcenter (intersection of broken lines)
Найдено результатов: 12
Circumscribe         
·vt to write or engrave around.
II. Circumscribe ·vt To draw a line around so as to touch at certain points without cutting. ·see Inscribe, 5.
III. Circumscribe ·vt To inclose within a certain limit; to hem in; to Surround; to Bound; to Confine; to Restrain.
circumscribe         
(circumscribes, circumscribing, circumscribed)
If someone's power or freedom is circumscribed, it is limited or restricted. (FORMAL)
The army evidently fears that, under him, its activities would be severely circumscribed...
There are laws circumscribing the right of individual citizens to cause bodily harm to others.
= limit
VERB: be V-ed, V n
circumscribe         
¦ verb
1. restrict; limit.
2. Geometry draw (a figure) round another, touching it at points but not cutting it. Compare with inscribe.
Derivatives
circumscriber noun
circumscription noun
Origin
ME: from L. circumscribere, from circum 'around' + scribere 'write'.
circumscribe         
v. a.
1.
Bound, encircle, surround, enclose.
2.
Confine, restrict, limit, keep within bounds.
Circumscribed         
·Impf & ·p.p. of Circumscribe.
Circumscribing         
·p.pr. & ·vb.n. of Circumscribe.
Circumscribed circle         
In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.
Circumcenter         
·noun The center of a circle that circumscribes a triangle.
circumcircle         
¦ noun Geometry a circle touching all the vertices of a triangle or polygon.
Circumscriber      
·noun One who, or that which, circumscribes.

Википедия

Circumscribed circle

In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.

Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.

A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm. Even if a polygon has a circumscribed circle, it may be different from its minimum bounding circle. For example, for an obtuse triangle, the minimum bounding circle has the longest side as diameter and does not pass through the opposite vertex.