Gerard
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 Apr13 asked Torus-like Riemann surface for a genus 1 Cassini oval Apr1 comment Visual understanding for “the genus” of a plane algebraic curve Your first sentence is rather complex, how on earth may that be visualised, or: is there any connection of that remark to the Riemann sphere? Apr1 comment Visual understanding for “the genus” of a plane algebraic curve How about the relation of the other Cassini curves to the Riemann sphere? Apparatnly they cannot be parametrized - or? Apr1 comment Visual understanding for “the genus” of a plane algebraic curve This explains why the lemniscate is of genus 0, while the others are of genus 1. Apr1 asked Visual understanding for “the genus” of a plane algebraic curve Mar30 asked Relation between curvature of curve and dual curve? Mar28 comment A 4th grade curve meets a line in one point with multiplicity 4 The curve $x^3=y^2$ and line $y=0$ has a multiplicity of intersection 3. But the origin $(0,0)$ is a cusp. Mar28 asked A 4th grade curve meets a line in one point with multiplicity 4 Mar27 revised Dual curve of the lemniscate of Bernoulli? deleted 58 characters in body Mar25 revised Dual curve of the lemniscate of Bernoulli? added 95 characters in body Mar23 revised Dual curve of the lemniscate of Bernoulli? Expanded the answer Mar23 accepted Dual curve of the lemniscate of Bernoulli? Mar23 revised Dual curve of the lemniscate of Bernoulli? Expanded the answer Mar23 revised Dual curve of the lemniscate of Bernoulli? Expanded the answer Mar23 revised Dual curve of the lemniscate of Bernoulli? added 5 characters in body Mar22 comment Dual curve of the lemniscate of Bernoulli? I use homogeneous coordinates. So by putting $x'=x/z, y'=y/z, z'=z/z = 1$ one gets the normal (affine) equation. Or just by putting $z=1$. Also $[u,v,w]$ are homogeneous line coordinates. Mar22 answered Bitangents corresponds to nodal points in the dual space Mar22 revised Dual curve of the lemniscate of Bernoulli? added 131 characters in body Mar22 answered Dual curve of the lemniscate of Bernoulli? Mar19 revised Dual curve of the lemniscate of Bernoulli? added 73 characters in body; edited tags