Proposed Hyperboloid Energy Tower Uses Simple Math to Solve a Big Problem

SOLVED: Find the equation of the hyperboloid of one sheet passing through the points (±4,0,0), (0,±7,0), and (±8,0,5), (0,±14,5). The equation is given by x^2/16 - y^2/49 z^2/25 = 1.

Find the equation of the hyperboloid of one sheet passing through the points ( 5,0,0), (0,15,0) and ( 10,0,7), (0, 10,point).The equation of the hyperboloid can be written as x^2/25 y^2/742 z^2/25 = 1.

SOLVED:Find a parametrization for the hyperboloid of two sheets {(x, y, z) ∈.R^3 ;-x^2-y^2 z^2=1}.