Encyclopedia - Centroid: Encyclopedia - Centroid
In geometry, the centroid or barycenter of an object X in n-dimensional space is the intersection of all hyperplanes that divide X into t...   » Read the article

Encyclopedia - Centroid: Encyclopedia Ii - Centroid - Centroid Of Triangle And Tetrahedon
The centroid of a triangle is the point of intersection of its medians (the lines joining each vertex with the midpoint of the opposite s...   » Read the article

Encyclopedia - Centroid: Encyclopedia Ii - Centroid - Integral Formula
The abscissa of the centroid of a plane figure can be given as the integral , where f(x) is the vertical extent of the object at abscissa...   » Read the article

Encyclopedia - Center Of Mass: Encyclopedia - Center Of Mass
The center of mass of an object is a point at which the object's mass can be assumed, for many purposes, to be concentrated. Center of m...   » Read the article

Encyclopedia - Altitude Triangle: Encyclopedia - Altitude Triangle
In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. forming a right angle with) the opp...   » Read the article

Encyclopedia - Triangle: Encyclopedia - Triangle
A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line s...   » Read the article

Encyclopedia - Contact Patch: Encyclopedia - Contact Patch
A Contact patch is the term applied to the portion of a vehicle's tire that is in actual contact with the road surface. The shape of a ti...   » Read the article

Encyclopedia - Circumcircle: Encyclopedia - Circumcircle
In geometry, the circumcircle of a given two-dimensional geometric shape is a circle which contains the shape completely within it. For ...   » Read the article

Encyclopedia - Data Clustering: Encyclopedia - Data Clustering
Data clustering is a common technique for statistical data analysis, which is used in many fields, including machine learning, data minin...   » Read the article

Encyclopedia - Pappus's Centroid Theorem: Encyclopedia Ii - Pappus's Centroid Theorem - The First Theorem
The first theorem states that the surface area A of a surface of revolution generated by rotating a plane curve C about an axis external ...   » Read the article

Encyclopedia - Center Of Mass: Encyclopedia Ii - Center Of Mass - More Formulas
In the discrete case: where n is the number of mass particles. Or in the continuous case: where ρ(s) is the scalar mass density as...   » Read the article

Encyclopedia - Center Of Mass: Encyclopedia Ii - Center Of Mass - Definition
The center of mass is defined as the weighted average of position, with in the discrete case the masses as weights, and in the continuous...   » Read the article

Encyclopedia - Center Of Mass: Encyclopedia Ii - Center Of Mass - Aeronautical Significance
The center of mass is an important point on an aircraft, as it defines the amount of mass forward or behind the center of gravity that ne...   » Read the article

Encyclopedia - Center Of Mass: Encyclopedia Ii - Center Of Mass - Motion Of The Center Of Mass
The following equations of motion assume that there is a system of particles governed by internal and external forces. An internal force ...   » Read the article

Encyclopedia - Center Of Gravity: Encyclopedia Ii - Center Of Gravity - Centers Of Gravity Of Simple Objects
If two bodies are rigidly fixed to each other, then the center of gravity of the combination lies on the line joining the centers of grav...   » Read the article

Encyclopedia - Center Of Mass: Encyclopedia Ii - Center Of Mass - Barycenter
When talking about celestial bodies, the center of mass has a special relevance: when a moon orbits around planet, or a planet orbits aro...   » Read the article

Encyclopedia - Center Of Gravity: Encyclopedia Ii - Center Of Gravity - Similarities Between Center Of Mass And Center Of Inertia
In a uniform gravitational field (in other words, when the tidal force is insignificant), the center of mass and the center of gravity ar...   » Read the article

Encyclopedia - Center Of Gravity: Encyclopedia Ii - Center Of Gravity - Differences Between Center Of Mass And Center Of Inertia
The center of mass of a long, uniform beam (of rectangular or circular cross section) is always at the center of the beam. In locations w...   » Read the article

Encyclopedia - Moment Of Inertia: Encyclopedia Ii - Moment Of Inertia - Explanation
In general, an object's moment of inertia depends on its shape and the distribution of mass within that shape: the greater the concentrat...   » Read the article

Encyclopedia - Center Of Gravity: Encyclopedia Ii - Center Of Gravity - Locating Center Of Gravity 2
Here is an interesting way of determining the CG of an 'L' shaped 2-D object as given in fig 1: 1) Divide the shape into two rectangles,...   » Read the article

Encyclopedia - Moment Of Inertia: Encyclopedia Ii - Moment Of Inertia - Types Of Moment Of Inertia
There are an infinite number of moments of inertia for any object, one for every possible axis of rotation through the object's centroid....   » Read the article

Encyclopedia - Euler-bernoulli Beam Equation: Encyclopedia Ii - Euler-bernoulli Beam Equation - Predictions
Euler-Bernoulli beam equation - Definitions. x = location along the beam axis y = location perpendicular to beam and to loading z = lo...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Points Lines And Circles Associated With A Triangle
There are hundreds of different constructions that find a special point inside a triangle, satisfying some unique property: see the refer...   » Read the article

Encyclopedia - Pappus Of Alexandria: Encyclopedia Ii - Pappus Of Alexandria - Theorems
In geometry, there are several theorems that are known by the generic name Pappus's Theorem, attributing them to Pappus of Alexandria. Th...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Points, Lines And Circles Associated With A Triangle
There are hundreds of different constructions that find a special point inside a triangle, satisfying some unique property: see the refer...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Points Lines And Circles Associated With A Triangle
There are hundreds of different constructions that find a special point inside a triangle, satisfying some unique property: see the refer...   » Read the article

Encyclopedia - Selective Yellow: Encyclopedia Ii - Selective Yellow - Formal Definition
The UNECE Regulations formally define selective yellow in terms of the CIE 1931 colour space as follows: For front fog lamps, the limit t...   » Read the article

Dictionary - Reality Anomaly: Mysticism Magick Dictionary On Reality Anomaly
REALITY ANOMALY From David Brinn's The Practice Effect: "A psychosomatic reality anomaly has its start when we surround [the cent...   » Read the article

Encyclopedia - Barycentric Subdivision: Encyclopedia Ii - Barycentric Subdivision - False Barycentric Subdivision
Sometimes the term "barycentric subdivision" is improperly used for any subdivision of a polytope P into simplices that have one vertex a...   » Read the article

Encyclopedia - Circumcircle: Encyclopedia Ii - Circumcircle - Circumcircles Of Triangles
The circumcircle of a triangle is the unique circle on which all its three vertices lie. (This is not the same as the first definition fo...   » Read the article

Encyclopedia - Data Clustering: Encyclopedia Ii - Data Clustering - Partitional Clustering
Data clustering - k-means and derivatives. The k-means algorithm assigns each point to the cluster whose center (also called centroid)...   » Read the article

Encyclopedia - Moment Of Inertia: Encyclopedia Ii - Moment Of Inertia - Derivation For Point Mass
Say we wanted to develop a formula for rotational kinetic energy that is analogous to the linear kinetic energy formula for a point mass....   » Read the article

Encyclopedia - Moment Of Inertia: Encyclopedia Ii - Moment Of Inertia - Mathematical Definition
For a small (pointlike) mass m, located at distance r from the axis of rotation, moment of inertia (versus that axis) is defined as: F...   » Read the article

Encyclopedia - Cluster Analysis In Marketing: Encyclopedia Ii - Cluster Analysis In Marketing - Clustering Procedures
There are several types of clustering methods: Non-Hierarchical clustering (also called k-means clustering) first determine a cluster c...   » Read the article

Encyclopedia - Moment Of Inertia: Encyclopedia Ii - Moment Of Inertia - Application Of Moment Of Inertia
A common equation which describes the relationship between the linear force applied to an object, the object's mass, and the object's lin...   » Read the article

Encyclopedia - Fuzzy Control System: Encyclopedia Ii - Fuzzy Control System - Fuzzy Sets
The input variables in a fuzzy control system are in general mapped into by sets of membership functions similar to this, known as "fuzzy...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Types Of Triangles
Triangles can be classified according to the relative lengths of their sides: In an equilateral triangle all sides are of equal length. ...   » Read the article

Encyclopedia - Moment Of Inertia: Encyclopedia Ii - Moment Of Inertia - Inertia Tensor
The moment of inertia can be used to describe the amount of angular momentum a rigid body possesses, via the relation: For the case wh...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Types Of Triangles
Triangles can be classified according to the relative lengths of their sides: In an equilateral triangle all sides are of equal length. ...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Basic Facts
Elementary facts about triangles were presented by Euclid in books 1-4 of his Elements around 300 BCE. A triangle is a polygon and a 2-si...   » Read the article

Encyclopedia - Fluid Statics: Encyclopedia Ii - Fluid Statics - Buoyancy
A solid body immersed in a fluid will have an upward buoyant force acting on it equal to the weight of displaced fluid. This is due to th...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Basic Facts
Elementary facts about triangles were presented by Euclid in books 1-4 of his Elements around 300 BCE. A triangle is a polygon and a 2-si...   » Read the article

Encyclopedia - Greek Mathematics: Encyclopedia Ii - Greek Mathematics - Origins
Greek mathematics has origins that are presumed to go back to the 7th century BC, but are not easily documented. It is generally believed...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Computing The Area Of A Triangle
Calculating the area of a triangle is an elementary problem encountered often in many different situations. Various approaches exist, dep...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Basic Facts
Elementary facts about triangles were presented by Euclid in books 1-4 of his Elements around 300 BCE. A triangle is a polygon and a 2-si...   » Read the article

Encyclopedia - Triangle: Encyclopedia Ii - Triangle - Computing The Area Of A Triangle
Calculating the area of a triangle is an elementary problem encountered often in many different situations. Various approaches exist, dep...   » Read the article

Encyclopedia - Integrated Circuit Design: Encyclopedia Ii - Integrated Circuit Design - Coping With Variability In Analog Design
A challenge most critical to analog IC design involves the variability of the individual devices built on the semiconductor chip. Unlike ...   » Read the article

Encyclopedia - Gravitational Radiation: Encyclopedia Ii - Gravitational Radiation - Sources Of Gravitational Waves
Gravitational waves are caused by certain motions of mass or energy. The type of motion required is different from electromagnetism in on...   » Read the article

Encyclopedia - Pappus Of Alexandria: Encyclopedia Ii - Pappus Of Alexandria - His Work
Pappus flourished about the end of the 3rd century A.D. In a period of general stagnation in mathematical studies, he stands out as a rem...   » Read the article

Article - Popular Pages Sitemap V - C
This is a sitemap for Popular Pages V - C . Click on a link and you will find multiple definitions and articles related to the word. &...   » Read the article