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from Brown Corpus
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Let Q be a nonsingular quadric surface bearing reguli Af and Af, and let **zg be a Af curve of order K on Q.
A general line L meets Q in two points, Af and Af, through each of which passes a unique generator of the regulus, Af, whose lines are simple secants of Aj.
On these generators let Af and Af be, respectively, the harmonic conjugates of Af and Af with respect to the two points in which the corresponding generator meets Aj.
The line Af is the image of L.
Clearly, the transformation is involutorial.

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