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The History of Non-Euclidian Geometry - Sacred Geometry - Extra History - #1 (Patreon)

Published:
2018-05-25 17:30:01
Imported:
2026-06
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Content

Before we get into non-Euclidian geometry, we have to know: what even is geometry? What's up with the Pythagorean math cult? Who was Euclid, for that matter? And what the heck is the 5th Postulate?

Files

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The History of Non-Euclidian Geometry - Sacred Geometry - Extra History - #1

Before we get into non-Euclidian geometry, we have to know: what even is geometry? What's up with the Pythagorean math cult? Who was Euclid, for that matter? And what the heck is the 5th Postulate? Support us on Patreon! http://bit.ly/EHPatreon (--More below) Subscribe for new episodes every week! http://bit.ly/SubToEC Grab your Extra Credits gear at the store! http://bit.ly/ExtraStore Thanks for participating in this week's discussion! We want you to be aware of our community posting guidelines so that we can have high-quality conversations: https://goo.gl/HkzwQh Contribute community subtitles to Extra Credits: http://www.youtube.com/timedtext_cs_panel?c=UCCODtTcd5M1JavPCOr_Uydg&tab=2 Talk to us on Twitter (@ExtraCreditz): http://bit.ly/ECTweet Follow us on Facebook: http://bit.ly/ECFBPage Get our list of recommended games on Steam: http://bit.ly/ECCurator ___________ Would you like James to speak at your school or organization? For info, contact us at: contact@extra-credits.net ____________ ♪ Get the intro music here! http://bit.ly/1EQA5N7 *Music by Demetori: http://bit.ly/1AaJG4H ♪ Get the outro music here! http://bit.ly/23isQfx *Music by Sean and Dean Kiner: http://bit.ly/1WdBhnm

Comments

Heath Dionne

Oh, it's gonna be sad when this series is over and Dan is finally gone...

Martin Verran

AT LAST! I've always said that Extra Credits NEEDS to Cover the History of Science! "The Square on the Hypotenuse of a Right~Angled Triangle has what in Common with the Sum of the other Two Sides?" I have Asked that Question to our Pigs on many Occasions, and so far the only Answer has been, "Oink!"

Fang

When I heard that this series was coming I got way to excited. Now it's here and I couldn't be happier. This is the best send of series for Dan in my eyes. Can't wait to see where this goes!

Cifer

Hey, great series starter! Oh, the times where you could go found a mystery cult based on... math. I'm very excited to see where this will be going. That said, while the illustrations are great as usual, I must say I found parts of the animation a little jarring, particularly those "spring up and wobble" effects at 1:47 and 2:15. I think simply putting them there without the special effects might have felt more natural. Anyway, here's to the first Dan's (would that be a shodan?) final series around these parts!

Jason Fox

Love the Kiner Bros music for this series! Reminds me of Philip Glass...

Stephen Phillips

I've wanted this one for so long - I'm very excited!

Skylar Ross

Never thought I’d get frustrated over a cliffhanger about geometry. Yet here I am. Can’t wait for the next video.

schuyler

so will this series require one off's ?

Christina Maria Jessen

One thing that's probably worth pointing out is that while the Greeks were the first to write proper textbooks of this geometry, most of the calculations were known in Egypt, India and Mesopotamia centuries or even millennia before. We've got plenty of cuneiform tablets using the Pythagorean theorem to calculate surface areas and you couldn't really build pyramids without some idea of them either. This is not to take anything away from properly writing it down and clarifying it, nor from the act of trying to understand the underlying logic. It's purely a matter of remembering that not all wisdom flowed from the Greek like it has been tradition to think in Europe. Indeed, some modern math relies on Indian mathematics the Greek never knew about, like the concept of zero or algebra using equations as opposed to geometry.

Joshua Evans-Lowell

I kinda wish they had devoted more time to the Pythagoreans.

Jacob Ashton

The 5th gives my brain cramps

Keith Richards

Math history is pitifully neglected in pretty much any syllabus. I'm really interested in the people and circumstances that prompted the creation of complex number systems. Given how modern people so often hate studying numbers, it's hard to imagine what drove ancient people to create number systems out of nothing.

Rossum
>>12596262

That’s because most students of history chose the field to avoid math.

Sientir

This was really engaging and fascinating, and then the episode had to end. :( Which is to say, I really enjoyed this one and am super looking forward to the next one!

Jason Youngberg

I know it hurts but I like the phrasing because it means one of the two lines crossing the initial line can be at an obtuse angle (greater than 90 degrees) and still intersect the other line provided that line is acute angle (less than 90 degrees) small enough so both in total is less than 180 degrees.

Jason Youngberg
>>12587292

But Extra Credits/History/Sci-fi will continue and that's important because it means the channel is bigger than two people. We get a legacy that can go on with new people. One day James will leave too and someone new will replace him. Then we'll see if this channel is more than the sum of its parts.

Justin M.

I've been waiting for these videos ever since "God Does Not Play Dice" video for Extra Credits. Actually exploring how the thinking of geometry and math in general is dependent on that Godel's theorem.

Darren Loo

So...elementary my dear Watson?

Jonathan Luoto

Geometry, my old foe. We meet again.

Quinlan Vuong

Why couldn't the math nerds stay out of my history nerd sanctuary darn it

Sara Samaletdin

Odd this does not show on my YouTube. Btw I you going to keep updating the chronological order playlist? I was wondering if this would go to the start or later.

Porcupine
>>12595906

It's so simple though, all it says is you don't have to say anything if you don't want to... :P

Porcupine

Seeing as how what they say is effectively "parallel lines never meet" I'd have LOVED to see the look on Euclid's face when you hand him a paper Moebius strip... :D

Natasha Taylor
>>12609373

I've had that issue with another channel today; the video simply isn't showing up in my subscriptions, despite the fact that I know it's up.

Cifer
>>12596262

I think you might need to be in the delicate place between "We have more than enough wheat to never grow hungry" and "We must spend three quarters of the day to make sure we have any wheat at all."

Cifer
>>12609373

Yeah, I think YT is putzing with the feed system again.

Cifer
>>12612740

And that is exactly what this series will presumably be about.

William Reeck

Oh no Dan's voice I'm already sad!

Van Butler

Odd question, I haven't looked at this in a while, but is Euclid's geometry assumed to be on a 2 dimensional plane? If not are the intersecting lines in the 5th postulate assumed to be on a 2 dimensional plane? Because it seems to me that in 3 dimensions 2 lines could both intersect a third line, forming acute interior angles to one side, and cross without ever intersecting.