Pappus's centroid theorem - Article Index

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 - 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 - 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 - 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 - 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 - 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 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 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 - 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 - 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

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