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Applications of Quadric Surfaces: Telescopes, Car Headlights, Microphones, Nuclear Power Plants

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First published at 03:27 UTC on April 4th, 2024.

#math
#geometry
#science

Math Easy Solutions

MES

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In this video I go over a quick overview of some of the many applications of quadric surfaces. From the shape of the Earth being an ellipsoid, satellite dishes being paraboloids, to nuclear power plants being hyperboloids, applications of quadric su…

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Applications of quadric surfaces: Earth as an ellipsoid: 0:00
- Radio Telescopes use circular paraboloids to direct parallel rays to the focus: 0:23
- Car headlights also use paraboloid reflectors: 1:47
- Light telescopes use paraboloid lens: 2:34
- Microphones and satellite dishes also use paraboloids: 3:10
- Nuclear power plant cooling towers are hyperboloids of one sheet: 3:46
- Pairs of hyperboloid transmission gears transmit rotational motion: 4:13
- Video of hyperboloidal gears: https://youtu.be/FciC17mNu_I: 4:56

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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