n-ellipse (Q6441): Difference between revisions

Latest revision as of 08:08, 7 April 2023

generalization of the ellipse allowing more than two foci

Language	Label	Description	Also known as
English	n-ellipse	generalization of the ellipse allowing more than two foci	multifocal ellipse polyellipse egglipse k-ellipse Tschirnhaus'sche Eikurve

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\left\{(x,y)\in R^{2}:\sum _{i=1}^{n}{\sqrt {(x-u_{i})^{2}+(y-v_{i})^{2}}}=d\right\}

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@@ Property / subclass of @@
+convex curve
@@ Property / subclass of: convex curve / rank @@
+Normal rank
@@ Property / subclass of @@
+spectrahedron
@@ Property / subclass of: spectrahedron / rank @@
+Normal rank
@@ Property / defining formula @@
+ $\left\{(x,y)\in R^{2}:\sum _{i=1}^{n}{\sqrt {(x-u_{i})^{2}+(y-v_{i})^{2}}}=d\right\}$ 
\left\{(x, y) \in R^2: \sum_{i=1}^n \sqrt{(x-u_i)^2 + (y-v_i)^2} = d\right\}
+Normal rank