You are about to action:

Object being modified by the action

Do you want to proceed?

Share Video Link

https://www.bitchute.com/video/vmNpMMDUy0MJ/

Click to copy, then share by pasting into your messages, comments, social media posts and websites.

Embed Video HTML

Click to copy, then add into your webpages so users can view and engage with this video from your site.

Share to Social Media

Share to social media by clicking on the quick share links.

Report Content

Reason

Please select the most appropriate reason from the list provided.

Note: For a more detailed description of each reason, see our Community Guidelines.

Additional Comments

Please add any additonal comments that will help with the assessment of your request.

Note: Copyright claims must contain all the items specified within the Copyright Policy.

Email Submissions

We also accept reports via email. Please see the Guidelines Enforcement Process for instructions on how to make a request via email.

Thank you for submitting your report

We will investigate and take the appropriate action.

Add to Playlist

Applications of Integrals: Moments and Centers of Mass: Theorem of Pappus

Next video playing soon

Click to cancel

Autoplay has been paused

Click to watch next video

First published at 18:04 UTC on March 22nd, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

subscribers

Your platform for uncensored ideas. BitChute Premium.

BitChute Advertisement

In this video I go over a very surprising connection between the centroid of a region and the resulting volume of revolution obtained from it. This connection states that the volume of a shape formed by rotating a region about the line is equal to the area of the region multiplied by distance the centroid of the region travels around the line of revolution. This connection is called the Theorem of Pappus, named after the founder Pappus of Alexandria in the 4th century A.D. This is a remarkable yet surprising connection between volumes and centers of mass because these two topics seem on the surface very different from each other.

As well as the proof of the Pappus Theorem, I also go over a brief math (mainstream) history lesson on Pappus, who was a great Greek mathematician far ahead of his time, so make sure to watch this video!

Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104685&authkey=!AByGvDBNcGgx40k&ithint=file%2cpdf

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-moments-and-centers-of-mass-theorem-of-pappus

Related Videos:

Moments and Centers of Mass: Example 4: x and x^2: https://youtu.be/NSE92mZgz7A
Moments and Centers of Mass: Region Bounded by 2 Curves: https://youtu.be/D-9tS_3XvLM
Moments and Centers of Mass: Example 3: cos(x): https://youtu.be/fvvVqhzmT4s
Moments and Centers of Mass: Example 2: Semi-Circle: https://youtu.be/vfCMuvqOCFM
Moments and Centers of Mass: Example 1: https://youtu.be/55jrfODcbWY
Moments and Centers of Mass: Introduction: https://youtu.be/lLSo5Hck6FM
Hydrostatic Pressure and Force: Example 2: Force on a Drum: https://youtu.be/8tZ86Iw68l8
Hydrostatic Pressure and Force: Example 1: Force on a Dam: https://youtu.be/Gr5H4icS4CQ
Applications of Integrals: Hydrostatic Pressure and Force: https://youtu.be/fesMt6vmXIo
Applications of Integrals: Surface Area: https://youtu.be/JkDPmAD37qk
Applications of Integrals: Arc Length Function: https://youtu.be/MWKK3qLvSwU
Applications of Integrals: Arc Length Proof: https://youtu.be/2rb4H_rmgxg
Simplified Filter Criteria: A Dam Filter Example: http://youtu.be/yGEeYAb4Olw
Soil Mechanics 101 - Phase Relations: http://youtu.be/DtKheQcL2BU
Types of Tailings Embankments: Upstream, Downstream and Centerline Construction Methods: http://youtu.be/1wm1XR6z-QE
Buoyancy - What is Archimedes' Principle and it's Proof: http://youtu.be/mXzccaH2KN
Integrals and Volumes by Cylindrical Shells: http://youtu.be/LbywV9X154E .