Example applications of the mathematics of Ellipsoids ...
Hip Roof with flared Rafters and Eaves
Graphing and Lofting Ovoids and Ellipsoids

 Ellipsoid Calculator Hip Roof ... Flared Rafters and Eaves ((x – h)/a)2 + (y/b)2 + ((z – c)/c)2 = 1
 Semi-axis on x-axis ... a = Semi-axis on y-axis ... b = Semi-axis on z-axis ... c = Offset Centroid on x-axis ... h = Plan Angle ... θ = Common Run Dimension ... y =
 Quadratic Form of Equation z = c – √(–AD² + BD + C) Copy and Paste to WZ Function Grapher A = B = C = Hip Rafter Ellipse Level Axis ... 2d = Plumb Axis ... 2c' = Critical Points Flare Height at D = 0 ... z = Minumum z = at minumum z ... D = at minumum z ... x = Hip Run Dimension ... D = Rise at D ... z = Slope at D ... m =
 Ellipsoid Calculator Plumb and Level Section Planes (x/a)2 + (y/b)2 + (z/c)2 = 1
 Semi-axis on x-axis ... a = Semi-axis on y-axis ... b = Semi-axis on z-axis ... c = Offset Section Plane = Axis normal to Section Plane ... x y z
 Copy and Paste to WZ Function Grapher
 Ovoid Level Section Calculator Six Specified Points (x/a)2 + (y/(bekx))2 + (z/c)2 = 1
 Semi-axis on x-axis ... a = Semi-axis on y-axis ... b = Semi-axis on z-axis ... c = Specify ± x = Specify ± y = Offset Section Plane on z-axis =
 k = Level Section Plane Formula Copy and Paste to WZ Function Grapher