Novel Proof of the Side-Side-Side Congruence Theorem | Euclid Elements Book 1 Proposition 8

I found a better proof of this (I think), which is toward the end of the "Making the thumbnail" section

00:00:00 Introduction
00:05:50 Playing with microphone settings
00:12:29 Book 1 Prop 8
00:14:30 Groups of symmetries and quotienting
00:19:00 Signed multisets and sets
00:30:00 Group definition
00:37:20 Quotienting
00:39:30 Euclidean Group of Transformations
00:44:30 Clock arithmetic
00:46:50 Back to Euclid
01:04:00 How discoveries happen
01:09:10 Making the thumbnail

Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/
Thumbnail GeoGebra: https://www.geogebra.org/m/spgkwjjn
Abstract Algebra playlist (determinants: 5-16; quotienting: 21-33): https://www.youtube.com/playlist?list=PLeV-0tFYTT3HsFkLfm4XFvCmHMwuXtepo
Signed multiset example code: https://gitlab.com/DoctorAjayKumar/qanal/-/blob/1cb2a915563c7916729aec858db21e87987056dc/src/qx_sms.erl
Wildberger Rational Trigonometry Playlist (I recommend starting with video 43): https://www.youtube.com/playlist?list=PL3C58498718451C47

WFC podcast:

Part 1: https://rumble.com/vnt7im-first-steps-in-wf-algebra-math-after-dark-ep-2-pt-1-siqa-ep0002-cl001.html
Part 2: https://rumble.com/vnvp1e-second-steps-in-wf-algebra-starting-wfc-code-review-math-after-dark-ep-2-pt.html
Part 3: https://rumble.com/vnvx7k-qanon-fat-emo-people-and-more-code-review-math-after-dark-ep-2-pt-3-siqa-2..html
Part 4: https://rumble.com/vnvpnm-code-review-rewrite-barriers-and-fake-programmers-math-after-dark-ep-2-pt-4.html
Part 5: https://rumble.com/vnvptq-erlang-uber-alles-math-after-dark-ep-2-pt-5-siqa-2.5.html
Part 6: https://rumble.com/vnvq4k-reflecting-on-the-beauty-of-wf-algebra-finishing-up-math-after-dark-ep-2-pt.html

Where to find me:

BitChute: https://www.bitchute.com/doctorajaykumar/
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GitLab: https://gitlab.com/DoctorAjayKumar
GeoGebra: https://www.geogebra.org/u/doctorajaykumar
Odysee (main): https://odysee.com/@DoctorAjayKumar
Odysee (podcast): https://odysee.com/@BigBlackCannon
Locals: https://orangepill.locals.com/
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