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Graphing an Ellipsoid in 3D

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First published at 20:33 UTC on March 21st, 2024.

#math
#geometry
#science

Math Easy Solutions

MES

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In this video I graph the Ellipsoid quadric surface, whose vertical and horizontal traces are all ellipses. This means that if you cut through the ellipsoid from any angle, the 2D trace will always be an ellipse. I graph the Ellipsoid both manually …

Time stamps:

- Example 3: Ellipsoid: 0:00
- Solution:
- Horizontal traces are ellipses: 0:16
- Right side needs to be positive: 2:24
- Rewriting equation to show its an Ellipse: 3:41
- Vertical traces are ellipses: 5:28
- Drawing the Ellipsoid with traces: 6:55
- Graphing in GeoGebra: 10:18
- Symmetry due to even powers: 11:31

Full video below:

- Cylinders and Quadric Surfaces: https://youtu.be/k4EyLr4uOUA
- HIVE video notes: https://peakd.com/hive-128780/@mes/cylinders-and-quadric-surfaces
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EfmYwT81SebJnU1Ny8Fc5u
- Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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