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Singular Properties of the Ellipsoid, and Associated Surfaces of the Nth Degree
George Frederick Childe
No preview available - 2015
absolute values ak_a alternate surfaces Am_l am-a appears ascertain the attraction assumed attracted particle attractive force Cape Town centre circle-ordinates co-efficients co-ordinates combining consecutive points consecutive radii consecutive surfaces consequently deduced denominator derived surface determined developments elimination ellipsoid elliptic elliptic cylinder equal expressions formula fraction frustum geometric series geometrical given Hence hypothesis indices infinite series integral investigation m+l)m mean proportional n(n+l n(ntl obtain octant orthographical projection parallel perpendicular drawn Pi pi plane section Pm-i point of contact primary principal axes principal planes quadrisect radii and perpendiculars radius vector represented required to ascertain right angles segment semi-axes shewn singular relation solid sphere tangent plane tangent-perpendicular unity vectorial radius verification VIII volume x y z xm ym zm