inscribed

　

WordNet

1. written (by handwriting, printing, engraving, or carving) on or in a surface
2. write, engrave, or print as a lasting record
3. address, (a work of literature) in a style less formal than a dedication
4. draw within a figure so as to touch in as many places as possible

PrepTutorEJDIC

1. (物・心などに)〈言葉・文字など〉‘を'記す,彫る,刻む,書く《+『名+on(in)+名』》 / (言葉・文字などを)〈物・心など〉‘に'記す,彫る,刻む,書く《+『名+with+名』〈言葉・文字など〉》 / (人に)〈著作・写真など〉‘を'署名して贈る(献呈する)《+『名+to(for)+名〈人〉』》

Wikipedia preview

出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2014/01/29 22:38:40」(JST)

wiki en

[Wiki en表示]

Inscribed circles of various polygons

An inscribed triangle of a circle

A tetrahedron (red) inscribed in a cube (yellow) which is, in turn, inscribed in a rhombic triacontahedron (grey).

(Click here for rotating model)

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.

Facts about inscribed figures

• Every circle has an inscribed triangle with any three given angle measures (summing of course to 180°), and every triangle can be inscribed in some circle (which is called its circumscribed circle or circumcircle).

• Every triangle has an inscribed circle, called the incircle.

• Every circle has an inscribed regular polygon of n sides, for any n≥3, and every regular polygon can be inscribed in some circle (called its circumcircle).

• Every regular polygon has an inscribed circle (called its incircle), and every circle can be inscribed in some regular polygon of n sides, for any n≥3.

• Not every polygon with more than three sides has an inscribed circle; those polygons that do are called tangential polygons. Not every polygon with more than three sides is an inscribed polygon of a circle; those polygons that are so inscribed are called cyclic polygons.

• Every triangle can be inscribed in an ellipse, called its Steiner circumellipse or simply its Steiner ellipse, whose center is the triangle's centroid.

• Every triangle has an infinitude of inscribed ellipses. One of them is a circle, and one of them is the Steiner inellipse which is tangent to the triangle at the midpoints of the sides.

• Every acute triangle has three inscribed squares. In a right triangle two of them are merged and coincide with each other, so there are only two distinct inscribed squares. An obtuse triangle has a single inscribed square, with one side coinciding with part of the triangle's longest side.

• A Reuleaux triangle can be inscribed with any orientation inside a square of the appropriate size.

See also

• Circumconic and inconic
• Cyclic quadrilateral

External links

• Inscribed and circumscribed figures. A.B. Ivanov (originator), Encyclopedia of Mathematics.

UpToDate Contents

全文を閲覧するには購読必要です。 To read the full text you will need to subscribe.

• 1. 副伝導路に関連する頻脈性不整脈 tachyarrhythmias associated with accessory pathways
• 2. 選択的IgA欠損症：管理および予後 selective iga deficiency management and prognosis
• 3. Wolff-Parkinson-White症候群（WPW症候群）に伴う不整脈の
  電気生理学的評価 electrophysiologic evaluation of arrhythmias associated with the wolff parkinson white syndrome
• 4. 長期血液透析でのブラッドアクセスに関連した血栓症：カテーテル thrombosis associated with chronic hemodialysis vascular access catheters
• 5. スティーブンス・ジョンソン症候群および中毒性表皮壊死融解症：管理、予後、および
  長期の後遺症 stevens johnson syndrome and toxic epidermal necrolysis management prognosis and long term sequelae

English Journal

• Infantile sexuality and Freud's legacy.

• Marion P1.
• The International journal of psycho-analysis.Int J Psychoanal.2015 May 19. doi: 10.1111/1745-8315.12319. [Epub ahead of print]
• The topic of sexuality and infantile sexuality, though less frequently discussed by psychoanalysis in recent decades, has received renewed attention for some years. The intention of this paper is to share some reflections around the role of infantile sexuality in our thinking, how we encounter it in
• PMID 25988723

• Compact bending sensor based on a fiber Bragg grating in an abrupt biconical taper.

• Cui W, Si J, Chen T, Hou X.
• Optics express.Opt Express.2015 May 4;23(9):11031-6. doi: 10.1364/OE.23.011031.
• We propose and experimentally demonstrate a compact bending sensor. The head of the sensor is only 0.8 mm in length, and consists of an abrupt biconical fiber taper formed using a conventional fusion splicer, in which a fiber Bragg grating (FBG) is inscribed using a femtosecond laser. The biconical
• PMID 25969198

• Highly birefringent phase-shifted fiber Bragg gratings inscribed with femtosecond laser.

• He J, Wang Y, Liao C, Wang Q, Yang K, Sun B, Yin G, Liu S, Zhou J, Zhao J.
• Optics letters.Opt Lett.2015 May 1;40(9):2008-11. doi: 10.1364/OL.40.002008.
• We demonstrate a highly birefringent phase-shifted fiber Bragg grating (PS-FBG) inscribed in H₂-free fiber with a near-infrared femtosecond Gaussian laser beam and uniform phase mask. The PS-FBG was fabricated from an ordinary fiber Bragg grating (FBG) in a case in which overe
• PMID 25927770

Japanese Journal

• 分電盤電流波形からの内接法による個別機器電力推定 (音声)

• 電子情報通信学会技術研究報告 = IEICE technical report : 信学技報 115(523), 379-384, 2016-03-28
• NAID 40020802053

• 分電盤電流波形からの内接法による個別機器電力推定 (信号処理)

• 電子情報通信学会技術研究報告 = IEICE technical report : 信学技報 115(522), 379-384, 2016-03-28
• NAID 40020792327

• 分電盤電流波形からの内接法による個別機器電力推定 (応用音響)

• 電子情報通信学会技術研究報告 = IEICE technical report : 信学技報 115(521), 379-384, 2016-03-28
• NAID 40020791553

Related Links

• Inscribed | Define Inscribed at Dictionary.com

verb (used with object), in·scribed, in·scrib·ing. 1. to address or dedicate (a book, photograph, etc.) informally to a person, especially by writing a brief personal note in or on it. 2. to mark (a surface) with words, characters, etc ...

• Inscribed | Facebook

Inscribed. 645 likes · 21 talking about this. ... We create personalized wooden monograms. Each design is custom made from birch wood and is delivered unfinished ready for your creativity. Click About for product information.

Related Pictures