... order in A, B, C, then theplane will envelope a cone of the second degree, and the line will generateanother cone of the second degree supplementary to the former.For let f( A, B, C) = 0,be ... under the terms of the Project Gutenberg License includedwith this eBook or online at www.gutenberg.netTitle: Researches on curves of the second orderAuthor: George Whitehead HearnRelease ... equation, and thus have f( x, y, z) =0, for the surface described by the moveable straight line.37 RESEARCHES ON CURVESof theSECOND ORDER,also on Cones and Spherical Conics treated Analytically,in...