ellipsoid (Q6399): Difference between revisions

Latest revision as of 19:10, 6 April 2023

quadric surface that looks like a deformed sphere

Language	Label	Description	Also known as
English	ellipsoid	quadric surface that looks like a deformed sphere

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{\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}+{\frac {z^{2}}{c^{2}}}=1

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V={\frac {4}{3}}\pi abc

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@@ Property / subclass of @@
+non-degenerate quadric surface
@@ Property / subclass of: non-degenerate quadric surface / rank @@
+Normal rank
@@ Property / subclass of @@
+compact space
@@ Property / subclass of: compact space / rank @@
+Normal rank
@@ Property / defining formula @@
+ ${\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}+{\frac {z^{2}}{c^{2}}}=1$ 
\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1
+Normal rank
@@ Property / has quality @@
+volume
@@ Property / has quality: volume / rank @@
+Normal rank
@@ Property / has quality: volume / qualifier @@
+defining formula:  $V={\frac {4}{3}}\pi abc$ 
V=\frac{4}{3}\pi abc