Serpentine curve
Encyclopedia
A serpentine curve is a curve whose equation is of the form
, where 
. Equivalently, it has a parametric representation 
, 
. Serpentine curves were studied by L'Hospital
and Huygens, and named and classified by Newton
.
, where . Equivalently, it has a parametric representation , . Serpentine curves were studied by L'HospitalGuillaume de l'Hôpital
Guillaume François Antoine, Marquis de l'Hôpital was a French mathematician. His name is firmly associated with l'Hôpital's rule for calculating limits involving indeterminate forms 0/0 and ∞/∞...
and Huygens, and named and classified by Newton
Isaac Newton
Sir Isaac Newton PRS was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian, who has been "considered by many to be the greatest and most influential scientist who ever lived."...
.