(geometry, physics, engineering, of an object or a geometrical figure) The point at which gravitational force (or other universally and uniformly acting force) may be supposed to act on a given rigid, uniformly dense body; the centre of gravity or centre of mass.
Used in a Sentence
centroid
Definitions, parts of speech, synonyms, and sentence examples for centroid.
Editorial note
The insight is in the importance of using the centroid of the shape and the path it traces.
Examples14
Definitions4
Parts of speech1
Quick take
(geometry, physics, engineering, of an object or a geometrical figure) The point at which gravitational force (or other universally and uniformly acting force) may be supposed to act on a given rigid, uniformly dense body; the centre of gravity or centre of mass.
Meaning at a glance
The clearest senses and uses of centroid gathered in one view.
(geometry, specifically, of a triangle) The point of intersection of the three medians of a given triangle; the point whose (Cartesian) coordinates are the arithmetic mean of the coordinates of the three vertices.
(of a finite set of points) the point whose (Cartesian) coordinates are the arithmetic mean of the coordinates of a given finite set of points.
Definitions
Core meanings and parts of speech for centroid.
noun
(geometry, physics, engineering, of an object or a geometrical figure) The point at which gravitational force (or other universally and uniformly acting force) may be supposed to act on a given rigid, uniformly dense body; the centre of gravity or centre of mass.
noun
(geometry, specifically, of a triangle) The point of intersection of the three medians of a given triangle; the point whose (Cartesian) coordinates are the arithmetic mean of the coordinates of the three vertices.
noun
(of a finite set of points) the point whose (Cartesian) coordinates are the arithmetic mean of the coordinates of a given finite set of points.
noun
(statistics, cluster analysis, of a cluster of points) the arithmetic mean (alternatively, median) position of a cluster of points in a coordinate system based on some application-dependent measure of distance.
Example sentences
The insight is in the importance of using the centroid of the shape and the path it traces.
You can find the centroid of this area - and the area will change size and shape as the thumb is rolled around.
The centroid is the average of all points of a shape.
That's the cleverness, and the reason the centroid has that property is interesting enough, and not immediately obvious.
A sensible, easy thing to do here seems to be to just find the centroid of the cluster points.
Find the area of a set of shapes of different types, and find the centroid of them.
Postcode centroid <-> lat/long has been open data since the initial OS OpenData release.
Living near the centroid of population I'll have to drive for two days to get to their nearest airport.
They are no bs, fight for internet freedom, celebrate transparency, are the centroid of internet activism and the extension of Aaron Schwartz' ideas.
Center of mass is directly related to the centroid or first moment of area if you would like to look into it more.
There are only more or less naive and information-poor actors looking at each other and trying to out-guess the movement of the flock centroid.
Before I do, I want to ask: do people usually implement O(n^2) distance calculations in k-means when trying to find the closest centroid that each point is to?
Quote examples
"You may be surprised to learn that current touchscreens sense only the geometric center of a user’s contact patch, or its centroid, rather than its entire area, as shown in Figure 2." Not true.
Proper noun examples
Centroid of some deep domain knowledge and/or ownership of specific process/es but able to get out their comfort zone and don't really care what the title says...
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use centroid in a sentence?
The insight is in the importance of using the centroid of the shape and the path it traces.
What does centroid mean?
(geometry, physics, engineering, of an object or a geometrical figure) The point at which gravitational force (or other universally and uniformly acting force) may be supposed to act on a given rigid, uniformly dense body; the centre of gravity or centre of mass.
What part of speech is centroid?
centroid is commonly used as noun.