A particular method in centroids

A'DB angle 20 arc radius area of DAD'A axis body or system carrying its Center Center of Mass chord circle circular Collignon considering the hemisphere DAD'B diametral planes elementary ellipsoid enclosed space find the Center found by considering g and g g to g giving the section hemispher hemispherical shell homogeneous matter filling ical shell indefinitely diminished infinitely small angle infinitely small triangle infinitely thin lune infinitesimal lamina this becomes Let ADB Fig Let Fig limiting position linear displace lune of infinitely Mass from g Mass G Mass of homogeneous METHOD IN CENTROIDS Number parallel PARTICULAR METHOD perpendicular plainly portion pure translation represent a section required Center result rotated sector segment OGXa semicircular lamina small arc solid hemisphere solid sphere spheres intersect spherical cap supposed transferred tance transferring an infinitely twice the distance UNIVERSITY OF COLORADO vertex volume of DAD'A wedge gg