and published in 1657 (see section History).

Properties of semicubical parabolas

Similarity

Any semicubical parabola is similar to the semicubical unit parabola $(u^2,u^3)$ .

Proof: The similarity (uniform scaling) maps the semicubical parabola onto the curve with $u=at$ .

Singularity

The parametric representation is regular except at point $(0,0)$ . At point