The cubic curve defined by
with . The curve cuts the axis in either one or three points. It was the 66th curve in Newton's classification of cubics. Newton stated that the curve has four infinite legs and that the y-axis is an asymptote to two tending toward contrary parts.
More things to try:
Weisstein, Eric W. "Trident of Newton." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TridentofNewton.html
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The curve cuts the axis in either one or three points. It was the 66th curve in Newton's
classification of cubics. Newton stated that the curve
has four infinite legs and that the y-axis is an
asymptote to two tending toward contrary parts.
