centroid

American  

[sen-troid] / ˈsɛn trɔɪd /

noun

1. Mechanics. 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.

2. Also called median point.  Geometry. that point where the medians of a triangle intersect.

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centroid British  

/ ˈsɛntrɔɪd /

noun

1. 1. the centre of mass of an object of uniform density, esp of a geometric figure

   2. (of a finite set) the point whose coordinates are the mean values of the coordinates of the points of the set

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Other Word Forms

• centroidal adjective

Etymology

Origin of centroid

First recorded in 1875–80; centr- + -oid

Example Sentences

Green asterisks indicate the centroid position of each cell on day 1.

From Nature • Mar. 21, 2017

Peak identification and alignment was performed using the Bioconductor R package xcms107 and features were detected using the centWave method108 for high-resolution liquid chromatography/mass spectrometry data in centroid mode at 30 p.p.m.

From Nature • Dec. 25, 2016

The geometric center of such a region is called its centroid.

From Textbooks • Mar. 30, 2016

In this case, the center of mass of the lamina corresponds to the centroid of the delineated region in the plane.

From Textbooks • Mar. 30, 2016

Some idea of the nature of the work may be obtained from a mention of a few propositions: The medians of a triangle are concurrent in the centroid, or center of gravity of the triangle.

From The Teaching of Geometry by Smith, David Eugene