inscribe

　 　 　 　

WordNet

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

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）』「2014/09/09 00:15:24」(JST)

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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, or more generally any curve of constant width, 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.

English Journal

• "Beauty is a light in the heart": The transformative potential of optogenetics for clinical applications in cardiovascular medicine.

• Boyle PM1, Karathanos TV2, Trayanova NA2.
• Trends in cardiovascular medicine.Trends Cardiovasc Med.2014 Oct 16. pii: S1050-1738(14)00179-0. doi: 10.1016/j.tcm.2014.10.004. [Epub ahead of print]
• Optogenetics is an exciting new technology in which viral gene or cell delivery is used to inscribe light sensitivity in excitable tissue to enable optical control of bioelectric behavior. Initial progress in the fledgling domain of cardiac optogenetics has included in vitro expression of various li
• PMID 25453984

• First demonstration of ocular refractive change using blue-IRIS in live cats.

• Savage DE1, Brooks DR2, DeMagistris M3, Xu L2, MacRae S4, Ellis JD5, Knox WH1, Huxlin KR4.
• Investigative ophthalmology & visual science.Invest Ophthalmol Vis Sci.2014 Jul 1;55(7):4603-12. doi: 10.1167/iovs.14-14373.
• PURPOSE: To determine the efficacy of intratissue refractive index shaping (IRIS) using 400-nm femtosecond laser pulses (blue light) for writing refractive structures directly into live cat corneas in vivo, and to assess the longevity of these structures in the eyes of living cats.METHODS: Four eyes
• PMID 24985471

• Suspended kinship and youth sociality in Tamil Nadu, India.

• Nakassis CV.
• Current anthropology.Curr Anthropol.2014 Apr;55(2):175-91, 197-9.
• This paper examines so-called fictive, or tropic, uses of cross-kin terms by college-going youth in Tamil Nadu, India. The paper shows how youth usages of cross-kin terms are motivated out of normative kinship practices, even as they decenter and suspend the semantic and pragmatic norms of such term
• PMID 24991679

• Conscientious refusal and health professionals: does religion make a difference?

• Weinstock D.
• Bioethics.Bioethics.2014 Jan;28(1):8-15. doi: 10.1111/bioe.12059. Epub 2013 Sep 30.
• Freedom of Conscience and Freedom of Religion should be taken to protect two distinct sets of moral considerations. The former protects the ability of the agent to reflect critically upon the moral and political issues that arise in her society generally, and in her professional life more specifical
• PMID 24117664

Japanese Journal

• テルライトファイバへの屈折率変調グレーティング形成(光波センシング,光波制御・検出,光計測,ニューロ,一般)

• 横田 浩久,真野 恭輔,小林 資昭 [他],今井 洋,佐々木 豊
• 電子情報通信学会技術研究報告. OPE, 光エレクトロニクス 111(449), 53-56, 2012-02-24
• 低い制御光パワーで動作する全光スイッチへの応用を目的として,テルライトファイバへの屈折率変調グレーティング形成を試みた.ピコ秒パルスNd:YAGレーザ照射を用いてテルライトファイバに長周期グレーティングを形成し,透過スペクトルにおいて減衰ピーク-12.6dBを得た.CWアルゴンイオンレーザの基本波による二光束干渉と電気ヒータによる補助加熱を併用することでテルライトファイバにブラッググレーティングを …
• NAID 110009546382

• テルライトファイバへの屈折率変調グレーティング形成(光波センシング,光波制御・検出,光計測,ニューロ,一般)

• 横田 浩久,真野 恭輔,小林 資昭 [他],今井 洋,佐々木 豊
• 電子情報通信学会技術研究報告. OFT, 光ファイバ応用技術 111(448), 53-56, 2012-02-24
• 低い制御光パワーで動作する全光スイッチへの応用を目的として,テルライトファイバへの屈折率変調グレーティング形成を試みた.ピコ秒パルスNd:YAGレーザ照射を用いてテルライトファイバに長周期グレーティングを形成し,透過スペクトルにおいて減衰ピーク-12.6dBを得た.CWアルゴンイオンレーザの基本波による二光束干渉と電気ヒータによる補助加熱を併用することでテルライトファイバにブラッググレーティングを …
• NAID 110009544974

• 代謝を生きる : 移動性をめぐる実験的考察(<特集>身体のハイブリッド)

• モハーチ ゲルゲイ
• 文化人類学 76(3), 288-307, 2011-12-31
• 今日の日本において病気そのものの民族誌を描き出すことを目的とするならば、遅かれ早かれ、科学の現場にたどり着くことになるだろう。本論文では、種々の民族誌的ならびに科学的な材料をもとに、医学の二つの現場である臨床と研究所で行われるさまざまな実践を描く試みを展開し、そこで生活習慣と倹約遺伝子という、糖尿病学のそれぞれ異なる標的を行き来する代謝の動きを追いかけていく。糖尿病などの慢性病を患っている多くの人 …
• NAID 110008897504

• Detecting, Recording and Expanding : Instrumentation of Earthquake and Tsunami Observations in Meiji Japan(<Special Issue>Historical Studies on Scientific and Pedagogical Instruments)

• KIM Boumsoung
• Historia scientiarum. Second series : international journal of the History of Science Society of Japan 20(3), 179-195, 2011-03-31
• … With the help of instruments that could inscribe seismic waves originating from the opposite hemisphere, the scientific information produced by those devices could move beyond borders, thus, scientific instruments and human contexts co-evolved. …
• NAID 110008661188

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ave;newの最新ミニアルバムです。白沢理恵さん、佐倉紗織さん、C;LINEさんの新曲が入っています。ベストアルバムではないので、そこまでのインパクトはないようです。コンセプトが「刻まれた記憶、贈るラブソング」なので ...

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• Inscribe | Define Inscribe at Dictionary.com

Inscribe definition, to address or dedicate (a book, photograph, etc.) informally to a person, especially by writing a brief personal note in or on it. See more. Thesaurus Translate Puzzles & Games Reference Word of the Day Blog ...

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