On the Quartic Developable


Abstract

The quartic developable is generated by the tangents of a twisted cubic. Taking the cubic as

x = t3, y = t2, z = t,w = I,                                             (I)

the equation of the developable is

f(x,y,z,w)=6xyzw-4y3w-4xz3+3y2z2-x2w2 = 0.                  (2)

The object of this paper is to obtain a remarkable property regarding the first polar surfaces of this developable.


Subject Discipline

Mathematical Sciences

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