centroid

Thân thiện

The triangle's centroid is located at the intersection of its three medians.

Definition

1. Noun:
   • The center of mass of an object of uniform density: The point at which the entire mass of an object can be considered to be concentrated for the purpose of analyzing translational motion. For a shape with uniform density and thickness, the centroid is its geometric center.

Usage Examples

• Noun:
  • The centroid of a triangle is the point where its three medians intersect.
  • Engineers calculated the centroid of the component to ensure proper balance.

Advanced Usage

• In Statistics: The term "centroid" is also used in multivariate statistics and data clustering to refer to the mean position of all the points in a cluster.
  • The algorithm updates the position of each cluster's centroid after every iteration.

Variants and Related Words

• Centroidal (adj): Of or relating to a centroid.
  • The centroidal axis is important in structural engineering.

Synonyms

• Center of mass (for a physical object of uniform density).
• Geometric center (for a perfect geometric shape).
• Barycenter.

Related Phrases

• Centroid of an area: A specific application in engineering mechanics referring to the geometric center of a two-dimensional shape.
  • The shear stress calculation depends on the centroid of the cross-sectional area.

Học thuật

Noun

1. the center of mass of an object of uniform density