The Three Princes of Serendip and that therefore she had had puppies a few days before." Zadig's detective work was influential. Cuvier wrote, in 1834, in the context of the new science of paleontology: T. H. Huxley, the proponent of Darwin’s theories of evolution, also found Zadig's approach instructive, and wrote in his 1880 article "The method of Zadig": Edgar Allan Poe in his turn was probably inspired by Zadig when he created C. Auguste Dupin in "The Murders in the Rue Morgue", calling it a "tale of ratiocination" wherein "the extent of information obtained lies not so much in the validity of the inference
Dupin cyclide of Dupin cyclides is invariant under the larger group of all Lie sphere transformations; any two Dupin cyclides are Lie-equivalent. They form (in some sense) the simplest class of Lie-invariant surfaces after the spheres, and are therefore particularly significant in Lie sphere geometry. The definition also means that a Dupin cyclide is the envelope of the one-parameter family of spheres tangent to three given mutually tangent spheres. It follows that it is tangent to infinitely many Soddy's hexlet configurations of spheres. A further special property of a cyclide is: An elliptic cyclide can be represented parametrically by the following formulas