centroid

centroid
—centroidal, adj.
/sen"troyd/, n.
1. Mech. the point that may be considered as the center of a one- or two-dimensional figure, the sum of the displacements of all points in the figure from such a point being zero. Cf. center of mass.
2. Also called median point. Geom. that point where the medians of a triangle intersect.
[1875-80; CENTR- + -OID]

* * *

In geometry, the centre of mass of a two-dimensional figure or three-dimensional solid.

Thus the centroid of a two-dimensional figure represents the point at which it could be balanced if it were cut out of, for example, sheet metal. The centroid of a circle or sphere is its centre. More generally, the centroid represents the point designated by the mean (see mean, median, and mode) of the coordinates of all the points in a set. If the boundary is irregular, finding the mean requires using calculus (the most general formula for the centroid involves an integral).

* * *


Universalium. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • Centroid — of a triangle In geometry, the centroid, geometric center, or barycenter of a plane figure or two dimensional shape X is the intersection of all straight lines that divide X into two parts of equal moment about the line. Informally, it is the… …   Wikipedia

  • centroid — centroíd adj. m., pl. centroízi; f. sg. centroídă, pl. centroíde Trimis de siveco, 10.08.2004. Sursa: Dicţionar ortografic  CENTROÍD I. s. n. punct din spaţiu care se mişcă cu o viteză egală cu viteza medie a obiectelor cereşti din vecinătatea… …   Dicționar Român

  • Centroid — Cen troid (s[e^]n troid), n. [L. centrum + oid.] The center of mass, inertia, or gravity of a body or system of bodies. [1913 Webster] …   The Collaborative International Dictionary of English

  • centroid — [sen′troid΄] n. CENTER OF MASS …   English World dictionary

  • centroid — noun The point at the centre of any shape, sometimes called centre of area or centre of volume. For a triangle, the centroid is the point at which the medians intersect. The co ordinates of the centroid are the average (arithmetic mean) of the co …   Wiktionary

  • Centroid — Der Schwerpunkt oder das Gravizentrum (engl. Center of Gravity, COG bzw. C/G) stellt das Zentrum, die gemittelte Position einer Ansammlung eines oder mehrerer Objekte, bezogen auf die Schwerkraft, dar. Im Schwerpunkt angreifende externe Kräfte… …   Deutsch Wikipedia

  • centroid — similar to the concept of center of gravity, except that it applies to a two dimensional shape rather than an object. For a given shape, the centroid location corresponds to the center of gravity for a thin flat plate of that shape, made from a… …   Mechanics glossary

  • centroid — /ˈsɛntrɔɪd/ (say sentroyd) noun Mechanics, Mathematics, etc. (of a curve, surface, body, etc.) that point whose coordinates are the mean values of the coordinates of all points in the given object. For objects composed of matter of uniform… …  

  • centroid — centroidė statusas T sritis fizika atitikmenys: angl. centroid vok. Zentroïde, f rus. центроида, f pranc. centroïde, m …   Fizikos terminų žodynas

  • Centroid-Methode —   [zu lateinisch centrum »Mittelpunkt«, »Schwerpunkt«], Psychologie: eine Lösungsmethode der Faktorenanalyse …   Universal-Lexikon

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”