# Centroid Sentence Examples

The ideas of moment and of

**centroid**are extended to geometrical figures, whether solid, superficial or linear.The

**centroid**of a figure is a point fixed with regard to the figure, and such that its moment with regard to any plane (or, in the case of a plane area or line, with regard to any line in the plane) is the same as if the whole volume, area or length were concentrated at this point.The

**centroid**is sometimes called the centre of volume, centre of area, or centre of arc. The proof of the existence of the**centroid**of a figure is the same as the proof of the existence of the centre of gravity of a body.The mean distance of a plane figure from a line in its plane, or of any figure from a plane, is therefore the same as the distance of the

**centroid**of the figure from the line or plane.We sometimes require the moments with regard to a line or plane through the

**centroid**.AdvertisementThese formulae also hold for converting moments of a solid figure with regard to a plane into moments with regard to a parallel plane through the

**centroid**; x being the distance between the two planes.A line through the

**centroid**of a plane figure (drawn in the plane of the figure) is a central line, and a plane through the**centroid**of a solid figure is a central plane, of the figure.They may be applied, for instance, to finding the

**centroid**of a semicircle or of the arc of a semicircle.The " central ordinate " is the ordinate through the

**centroid**of the trapezette (§ 32).The ordinate through the

**centroid**of the figure is the ' ` central ordinate."AdvertisementIn the case, therefore, of any solid whose cross-section at distance x from one end is a quadratic function of x, the position of the crosssection through the

**centroid**is to be found by determining the position of the centre of gravity of particles of masses proportional to So, S2, and 4S 1, placed at the extremities and the middle of a line drawn from one end of the solid to the other.If input parameter

**centroid**is set to ` yes ', then X and Y are centroids of photon distributions in the detect cell.The two-dimensional coordinates of each marker were obtained by calculating the

**centroid**of each marker outline for each digitized video frame.If you use the option of " residue " then the residue

**centroid**is used throughout the routine.These can be used to output a ten figure (10 meter) National Grid reference for the zone

**centroid**.AdvertisementWe have generated ensembles of Cα and sidechain

**centroid**models conformations with RAPPER, for each target in the above list.It can be proved by geometry that (aA-H3B) +yC = aA+(aB+- y C) = (a + 1 3+ 7) P, where P is in fact the

**centroid**of masses a, 13, y placed at A, B, C respectively.This point is the

**centroid**of the body.The

**centroid**of a rectangle is its centre, i.e.The

**centroid**of a hemisphere of radius R, for instance, is the same as the**centroid**of particles of masses 0, 7rR 2, and 4.Advertisement