inscribe

Share on Facebook Share on Twitter Email
(ĭn-skrīb') pronunciation
tr.v., -scribed, -scrib·ing, -scribes.
    1. To write, print, carve, or engrave (words or letters) on or in a surface.
    2. To mark or engrave (a surface) with words or letters.
  1. To enter (a name) on a list or in a register.
    1. To sign one's name or write a brief message in or on (a gift book or photograph, for example).
    2. To dedicate to someone.
  2. Mathematics. To draw (one figure) within another figure so that every vertex of the enclosed figure touches the outer figure.

[Latin īnscrībere : in-, in, on; see in-2 + scrībere, to write.]

inscriber in·scrib'er n.

Top

verb

  1. To form letters, characters, or words on a surface with an instrument: engross, indite, scribe, write. See remember/forget.
  2. To produce a deep impression of: engrave, etch, fix, grave3, impress, imprint, stamp. See marks.
  3. To register in or as if in a book: book, catalog, enroll, list1, set down, write down. See remember/forget.
  4. To affix one's signature to: autograph, endorse, sign, subscribe, undersign. Idioms: put one's John Hancock on, set one's hand to. See law.

  See crossword solutions for the clue Inscribe.
Wikipedia on Answers.com:

Inscribed figure

Top
Inscribed circles of various polygons
An inscribed triangle of a circle


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. Familiar examples include circles inscribed in triangles or regular polygons, and triangles or regular polygons inscribed in circles.

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.

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.

The inradius or filling radius of a given outer figure is the radius of the inscribed circle or sphere, if it exists.

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).
  • 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.
  • Every regular polygon has an inscribed circle, and every circle can be inscribed in some regular polygon of n sides, for any n≥3.
  • 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 triangle has three inscribed squares, though two of them coincide with each other in the case of a right triangle.

See also



Translations:

Inscribe

Top

Dansk (Danish)
v. tr. - indgravere, indskrive, indføre

Nederlands (Dutch)
inschrijven, opdragen, (be)schrijven, graveren

Français (French)
v. tr. - inscrire, graver, (fig) graver, dédier (à), (Math) inscrire

Deutsch (German)
v. - schreiben, beschriften, eintragen, mit einer Widmung versehen

Ελληνική (Greek)
v. - εγγράφω, εγχαράσσω, επιγράφω

Italiano (Italian)
iscrivere, incidere, inscrivere (geom.)

Português (Portuguese)
v. - inscrever, registrar, traçar uma figura dentro de outra (Geom.)

Русский (Russian)
надписывать, вырезать, запечатлеть (в памяти)

Español (Spanish)
v. tr. - inscribir, grabar, dedicar, registrar

Svenska (Swedish)
v. - skriva (in), enrollera, inregistrera (aktieägare o.d.), dedicera, inskriva (geom.), (in)gravera

中文(简体)(Chinese (Simplified))
刻, 题写, 雕, 印

中文(繁體)(Chinese (Traditional))
v. tr. - 刻, 題寫, 雕, 印

한국어 (Korean)
v. tr. - 새기다, 헌정사를 적다, 명심하다, (원 등을) 내접 시키다

日本語 (Japanese)
v. - 記す, 彫る, 記名する, 内接させる

العربيه (Arabic)
‏(فعل) ينقش ( كلاما), يكتب, يحفر ( اسمه), يهدي الكتاب إلى شخص ما‏

עברית (Hebrew)
v. tr. - ‮חרת, חקק, רשם‬


Best of Web:

inscribe

Top
Some good "inscribe" pages on the web:

Math
mathworld.wolfram.com

Post a question - any question - to the WikiAnswers community:

Copyrights: