Hi everyone! Sorry for how often we repeated prop 5, but understanding how it's both weirdly simple and yet super complex is important for the rest of the series. There will be math in the rest of these episodes but not as heavy handedly done ; ) -JP

@rngwrldngnr

6 жыл бұрын

darthmunck I think that's required to gain an understanding if you aren't already familiar with Euclidean geometry (and the history is interesting).

@refreshdaemon

6 жыл бұрын

Everyone, vote for Prop 5! Parallel lines must be maintained!

@ahmedmuawia2447

6 жыл бұрын

Extra History.Is a great example of Fun Education also I am a huge I like your way of telling stories of the past wich encourge me to look for more detail by myself.

@Yes-hd5ku

6 жыл бұрын

I'm confused; what exact complexity do you imply?

@andrew-paulclements1502

6 жыл бұрын

Yeah, it seems kinda common knowledge now-a-days. I find it interest that apparently that was a supper big thing.

"What are you watching?" "A video on Non- Euclidean geometry." "Ha ha, no really, what are you watching."

@yellowstarproductions6743

Жыл бұрын

"A actual video on geometry"

@hypeflexington7081

4 ай бұрын

Just say porn. You'll get less weird looks and questioning glances XD

@geoffreyaughtman6917

3 ай бұрын

and here i am drinking while searching Euclidean and here i am 3 years later.

Non-euclidean geometry explained! *H.P Lovecraft sweats nervously*

@thechickenman3713

4 жыл бұрын

Overly sarcastic productions?

@ericoliver1603

4 жыл бұрын

Basically why I clicked on this video lol

@TORchic1

4 жыл бұрын

I feel like even this simplified explanation series will be too much for Lovecraft.

@masterzoroark6664

4 жыл бұрын

Yeah

@samirseedat1274

4 жыл бұрын

Just what i was thinking.

Me: "I don't care about geometry" *Extra History uploads a video about it* Me: "I care about geometry"

@sk8rdman

4 жыл бұрын

Me: "I don't care about history" Sees video on Euclidean Geometry Me: "I care about history"

@Gospel-xm7vd

4 жыл бұрын

How KZread manages to suddenly catch my attention, it's basically mind control at this point.

>Power Level: ??? >"His work had an nearly indescribable effect on history-" yeah id say hes pretty up there

I don't know what Euclid's power level is, but if you tell me his height and what angle he stands at I'm pretty sure I can figure it out.

@dasaggropop1244

6 жыл бұрын

its over 9000

@vicentetemes5793

6 жыл бұрын

That would be 9*10^3, you uneducated nincompoop.

@Jh5kRadio

6 жыл бұрын

He's dead, so he's probably standing at 0 degrees.

@extrams0

6 жыл бұрын

That would be > 9*10^3, you heathen

@void2258

6 жыл бұрын

Where your units?????

I knew people who liked math were cultists

@qallincha

6 жыл бұрын

Look at Pythagoreanism and how it tragically ended

@kevinami5585

6 жыл бұрын

Ya mean all Asians are cultists ?

@pyrocancer8581

6 жыл бұрын

pecu alex You know it's a mystery cult when the cultists themselves don't know they're cultists.

@robertwalpole360

6 жыл бұрын

This is what happens when you herd the nerds.

@Anergyne

6 жыл бұрын

Mathemagicians. *nods*

"Hey Vsauce, Eucilid here. Where is your proof for the Fifth Postulate?"

@kyle-silver

6 жыл бұрын

Hey Vsauce, Lobachevsky here. What if we assume the fifth postulate... is false [Moon Men by Jake Chudnow plays]

@puddingcupnation1496

6 жыл бұрын

But why do we have 5 postulates?

@Ggdivhjkjl

6 жыл бұрын

Shhh, don't tell the teacher whose homework he copied.

@ffggddss

5 жыл бұрын

Hey, Euclid. It's been proven that the 5th Postulate doesn't follow logically from the others. This has been done by constructing a geometry in which those lines can fail to ever meet (Lobachevsky, Bolyai, et al); and another in which they always meet, even when the sum of interior angles = 180º (Gauss, Riemann, et al). In both cases, all the other postulates hold true, so it follows that P5 can't be a logical consequence of those others. These results were both achieved in the 19th century AD. Finally, in the early 20th century, it was established that all of these systems of geometry are exemplified in our physical universe, in different circumstances, due to gravity (Einstein, Schwazschild, Friedmann, et seq, AD 1915-). Despite all this, what we now call "Euclidean geometry," in which P5 holds, is still of central importance, because it holds to all but imperceptibly high precision, over small enough regions, which are 99.999% of all the cases we have to deal with; and mathematically speaking, it holds true completely, in non-Euclidean geometry, in the limit of small, or "tangent spaces." Fred

@215alessio

5 жыл бұрын

at infinity

EH: Basically, Euclidean Geometry is all the Geometry you studied in school. Next week we'll talk about non-Euclidean Geometry. Me: (Nervously) "This is going to be a bumpy ride..."

Was it Walpole? *Top 10 questions Science still can’t answer*

@walpol3

6 жыл бұрын

Animootions Man mayyyybe

@Tyleya

6 жыл бұрын

That was hilarious!!

@rexrowan6411

6 жыл бұрын

Ah ha! Are u the one who spread the plague from Egypt to the Sassinid and Byzantine empires?

@walpol3

6 жыл бұрын

Animootions Man I was having a bad day okay?

@Marylandbrony

6 жыл бұрын

Yes it was.

Heads up guys, this is the last EH series with Dan Floyd narrating. Let's enjoy it to the fullest extent

@jopersoniusker4268

6 жыл бұрын

Dimitrije Jovanovic The fact that they had to make his last series based around math realy makes that difficult🙃 (But in all seriousness, I'll miss you Dan)

@dimitrijejovanovic5939

6 жыл бұрын

JoGeronimusKer of ebblepub This actually flared up my interest in math again... After 6 years when stupid teachers killed it. I went on to listen to numerous lectures about history of mathematics, even though I am way over my head in the preparations for my finals in Pathology. Well, let's say that it was a nice throwback in time when I was interested in math

@bananalord8575

6 жыл бұрын

what why

@jopersoniusker4268

6 жыл бұрын

Dimitrije Jovanovic I have some bad experiences with mathematics, so I find a bit less interesting. Good thing you like it tho

@dimitrijejovanovic5939

6 жыл бұрын

JoGeronimusKer of ebblepub I actually hated math for the most of there six years, mainly because teachers were incompetent in teaching us the matter. But my pure love and thirst for knowledge pulled me back into research

Eucilid thought knowing Geometry would make you understand the universe. *Quantum Physics has entered the chat* Quantum Physics: This ain't it chief.

@malcolmthompson6514

3 жыл бұрын

**cries in SAM theory**

I expected more Lovecraft.

@faizalf119

5 жыл бұрын

Lovecraft is a good writer but a horrible mathematician. He simply read the book about Euclidean and mistaking non euclidean geometry as alien or impossible geometry

@Egoblivion

5 жыл бұрын

Faizal F Lol, you think he really mistook it as literally 'alien' and 'impossible?'

@Egoblivion

5 жыл бұрын

Restryouis Yes, and his allusions to the horror of incorrect geometry.

Extra Math when? Screw it, can we just have Extra Credits become the next Crash Course?

@blodsubhistory1334

6 жыл бұрын

Yes.

@taylorhancock5834

6 жыл бұрын

Yes! But they are like the anti-CrashCourse, going over a random and slightly obscure topic in a fairly long form way. Probably two of the best educational series when put in tandem.

@sizanogreen9900

6 жыл бұрын

I'm all for extra credits making more videos like this.

@enlightedjedi

6 жыл бұрын

It is still history :)! But why be in the way of a good Crash Course :)! No worry my friend. EC always have a plan :)!

@midshipman8654

6 жыл бұрын

Taylor Hancock I actually prefer these to crash course most of the time since extra history doesn’t try to produce a moral whenever possible.

As a Greek and a scientist, I have to thank you, for this episode, and I am truly looming forward for the rest episodes of this subject. I ought to note something more: You always have high standards in your clips, both in presentation and research. Today, was one of your top quality clips, and I have seen the whole Extra History series.

@RivkahSong

2 жыл бұрын

I know this was written 3 years ago, but the typo resulting in you "looming forward" to more math rather than "looking forward" is hilarious to me. I just really appreciate the suggestion that scientists express excitement by looming menacingly in the corner like the math they've dedicated their lives to does for the rest of us.

I can't rate the Extra History series highly enough, you guys do seriously amazing and inspiring work. You really know how to bring life and charm to any topic, and really know how to pick topics for that matter. I can't imagine how many teachers and students teaching/learning experience you have made easier/more accessible, bravo and kudos to all involved.

6:36 "The last, lingering question would be answered." It's my understanding that "The final question" cannot be answered yet, because "There is as yet insufficient data for a meaningful answer." *Aasimov reference

@SMiki55

4 жыл бұрын

42

SIMPLE GEOMETRY!

@lucianodebenedictis6014

6 жыл бұрын

Rip scattur

@pchris

6 жыл бұрын

Pearse Traynor thank goodness that ability is dead

@hartwellcraig7909

6 жыл бұрын

I agreee

@squrtinata

6 жыл бұрын

machine gun Hanzo is worse.

-uploads a video about non-euclidean geometry -talks about euclidean geometry

@JohnJohnson-vq7ze

6 жыл бұрын

I can't tell if you're joking, but just in case you aren't, you really can't talk about the significance of non-euclidean geometry without first talking about euclidean geometry. I mean, it's in the name; the whole big deal about non-euclidean geometry is that it differs that which was, for over a millennium, considered the only geometry.

@RickyCruzMedia

6 жыл бұрын

The series will probably end up being about Non-Euclidean geometry, since this is the first of the set.

@FantasyAddict95

6 жыл бұрын

well, I imagine you would have to have a basic understanding of Euclid in order to understand how noneuclidians built and changed from his stuff. I know nothing of this topic, but I'm sure this is relevant as an introduction.

@NimhLabs

6 жыл бұрын

No mention of the paradox of how can somebody lay dead--but still yet dreaming of strange Aeons where death itself has died.

@scottkrametbauer90

6 жыл бұрын

Exactly, you must fist learn of the beast that is the fifth, before you can learn about all the mathematicians who went insane trying to kill the beast and failed.

In my second year in high school, we had "Euclid's geometry". I remember when our teacher told us in the 1st lesson that the book we're holding was written some years BC, and the only additions are the math problems that we will get as homework.

Strange, I've always seen the 5th stated in a different way: Given a line L and a point P that is not on L, there is exactly one line passing through P that is parallel to L. But, I know there are many equivalent postulates; e.g. the interior angles of a triangle will always add up to the same constant.

@NoActuallyGo-KCUF-Yourself

4 жыл бұрын

Those two statements are conclusions that follow from the 5th postulate. They are equally true, but not logically equivalent.

im going through therapy for ptsd and i feel like i lack a lot of education due to a rough childhood and then mental illness as a result of a poor home life. So im using Khan academy to get my math skills sorted out because i feel like maybe i just want taught very well, and this here helps me feel really strongly that we could do alot better to teach math to children, This real life story of Euclid who understood it and wrote it down would get so many kids into math! im 27 and this is the FIRST time i've been told anything about who Pythagoras or Euclid were. Thank you so much and i can't wait for my kid to watch all your vids ^.^

@bassemghorab

5 жыл бұрын

Best wishes to you and your child =)

I’m gonna miss dan, but best of luck to his future.

@Draco-nf7ey

6 жыл бұрын

Valak Dunban At least he will still do stuff in Extra Play! Loved his Dark Souls playthroughs

@megathai

6 жыл бұрын

Which Dan

@BlueZeroThree

6 жыл бұрын

The Dan narrating

@lonathan5653

6 жыл бұрын

We all will miss him

@ironsfamily6

6 жыл бұрын

megathai Dan Prime. The ultimate the Dan. The Dan of all Dans. The Dan who started it all... Dan Floyd.

-The 5th postulate was broken by Walpole! Search your feelings. You know it to be true. -NOOO!!! THAT'S IMPOSSIBLE!!! i am sorry... couldn't help it

I used your videos on non-euclidean history as inspiration for a presentation at university. I also shamelessly used exclusively pictures from your videos as material. With reference of course. Needless to say: 1.0 was the result. Thanks a lot guys, you are awesome.

@juancarlosalpajora3405

6 ай бұрын

Can you explain it on your own words

5:13 That's one fine comb

@Healermain15

6 жыл бұрын

He got it from a Stormtrooper combing the desert.

@Seadalgo

6 жыл бұрын

sander heutink We ain't found shit

@dead_warrior_wae

5 жыл бұрын

I wish I had a comb like that boiii

It was Lobachevsky! Russian mathematician who developed hyperbolic geometry where fifth postulate is not true. My high school profesor explained that to me, but I forgot nearly all of it. Can't wait for next episode to refresh my knowlege :)

If people are interested - there's a non-Euclidian Roguelike on Steam called HyperRogue, it's pretty good.

*Is a Math Major* *Took a class on non-Euclidian geometry last semester* *gets popcorn*

@jhonshephard921

6 жыл бұрын

so comments? Data Scientist here BTW.

@JM-us3fr

6 жыл бұрын

I was a math major as well. I'm looking forward to seeing how this series pans out.

@ZlatkoTheGod

6 жыл бұрын

So far I've only heard of the horrors of non-Euclidian geometry. So far I'm having trouble with regular analytic geometry and calc so I think I'm just going to stay as far away from that as I possibly can but I'm still curious to see how this pans out.

@ardinhelme687

6 жыл бұрын

The Red Baron that's a shame, when presented correctly, non-Euclidian geometry can be incredibly fascinating, and I have no doubt Extra Credits will do it justice. It was actually one of my favorite classes last semester (but then again Calc III was right beside in classes I enjoyed, so maybe take that recommendation with a grain of salt) but more then anything I think it's important to remember that we don't live in a Euclidean world, and as such, being able to understand the failings of Euclid's geometry is something I that I think is often undervalued.

@ZlatkoTheGod

6 жыл бұрын

Oh I have no doubt in my mind that it is fascinating, the thing is just that I am a computer science student but the way my school does things we do 60% math and about 40% comp-sci. Calculus is also pretty much the only mathematical subject that interests me (the rest like linear algebra, logic, financial math etc. seems mostly like busy work because it's so easy, everything except for analytic geometry ironically) so don't worry I will take your recommendation. The problem is just that I want to focus more on computer science and calc but the rest doesn't seem like something I would apply too much in the field later on. Heck I might not even use calc but I'm still gonna study that cause it's fun and I wanna be able to come up to a lady in a bar and say "Hey baby are you an exponential function, cause I wanna be your tangent line." or something equally retarded like "The sum of all natural numbers converges to -1/12" ... OK maybe not that retarded but you get the point.

One last Extra History with Dan. :( Edit: More details here: www.twitlonger.com/show/n_1sqhrnq

@BlueZeroThree

6 жыл бұрын

Wait what?

@mr.cup6yearsago211

6 жыл бұрын

UK Ball Dan is leaving extra credits, but he said you'll still be hearing him in EH for a while.

@BlueZeroThree

6 жыл бұрын

Who will be replacing him?

@jacoder23

6 жыл бұрын

He announced his departure from the Extra Credits channel in the last video about Choice Paralysis.

@jacoder23

6 жыл бұрын

@UK Ball A guy named Matt.

Euclid Teachers: ok, it's math time Scp fandom: *SPC 173 HAS BROKEN OUT OF THE CONTAINMENT!!*

@lazarjovanovic4388

4 жыл бұрын

@@sansirow4595 u stop

@a.h.tvideomapping4293

4 жыл бұрын

Sansirow I’m going to make you look at a picture of 096

Math! My old nemesis, we meet again...

@mathephilia

6 жыл бұрын

Your "nemesis" ? On Extra Credits of all places ? Did you know that every video game is literally a symphony written in the language of mathematics ? ^^" Mario can only jump because we imitate the physics of the real world (parabolas, movement/speed/accel, etc) ! You should read the first three pages of Lockhart's Lament, maybe you'll learn to understand your nemesis a bit better, and become curious as to how that nemesis rolls. :)

@winsonwijaya5592

5 жыл бұрын

to extend this idea even more, our entire being as biological creature depends on isomerism of chemistry of life in order to function as well (i.e. same chemical formula of a molecule that have the same pattern of bonds but different geometric positioning of atom could effect how the molecule react with others, which play a significant role in today's drug development) , even geometry plays a very big role in our life on a molecular level

@henryhache5509

5 жыл бұрын

If only the line you were traveling life on crossed another line at 90 degrees, and math crossed the same line at 90 degrees, you and math would never had met again :)

@Goultek

5 жыл бұрын

how mas the meeting?

@rpsgm

5 жыл бұрын

Winson Wijaya n

Will he ever journey to R'lyeh to find his answer?

@abacussssss

6 жыл бұрын

I just so happen to have a non-Euclidean R’lyeh right here: goo.gl/DWNWoY

@palumbolord7480

6 жыл бұрын

perhaps he would have better luck consulting the Yith

@Gunbladefire

6 жыл бұрын

I'll just pet my cat in Ulthar and wait to find out.

GOD DAMN When I thought extra history couldn't get better

maths major here: really hope you list all 5 axioms next video, or better yet, mention that euclid's contribution was axiomatic thinking; one could bring up ZFC set theory and category theory in passing. Just bc it was hinted at but I think you could trust the EC audience with heavier information!

0:33: 📚 The video discusses the importance of Euclid's book 'Elements' in the history of mathematics and how it organized and expanded upon the geometric knowledge of the Ancient World. 3:12: 📚 The video explains the 5th Postulate in Euclid's book and its complexity. 5:40: 📏 The video explores Euclid's fifth postulate and its implications in geometry. Recap by Tammy AI

Literally the only KZread channel to make math fun

@Ilkeyrion

6 жыл бұрын

I think Numberphile does an okay job at that, but you have to have some kind of inherent curiosity about math for it to be fun. I get really curious about mathematical concepts and ideas, but am terrible at it if you look at my math grades

@joshuadarrow

6 жыл бұрын

Extra Math

@ethan6287

6 жыл бұрын

Vihart dude.

@rxy228

6 жыл бұрын

you should take a look at 3Blue1Brown if you want fun math

@rxy228

6 жыл бұрын

3Blue1Brown is IMO the best "explain maths" channel on youtube. mathologer is pretty good as well

Nice! Combining my favorite subject and my least favorite subject!

@assassinxex

6 жыл бұрын

Least we have the answer to the question which bastard made maths

@enlightedjedi

6 жыл бұрын

@assassinxex He wore it like an armor :)!

@only2ndplace

6 жыл бұрын

Yeah, I hate history too. Just kidding ;)

@mathephilia

6 жыл бұрын

Maybe you guys should read Lockhart's Lament, it's a short essay on why math is the worst taught subject in the world. Math is more beautiful and artistic than most art... Any video game is basically a symphony written in the language of mathematics. But if we taught music like we taught math, most people would say things like "I'll never use music in my life, why are we learning this ? Music is useless. I've never been a music person.", or "now we know the bastard who invented music" which admittedly sounds absurd. www.maa.org/external_archive/devlin/LockhartsLament.pdf

it's so beautifully introduced! geometry is powerful and beautiful! even somehow magic!

I SIGNED UP FOR HISTORY NOT MATH! NOBODY SAID THERE'D BE MATH!

@crapshoot

5 жыл бұрын

lmao I wasn't particularly interested in history but I came here because I heard there was math :P

... It's just a triangle. I mean, you have explained the 5th postulate perfectly, but... I really don't understand the problem. Because the only weirdness I see on it, is the complication in the definition of the postulate. Not the postulate itself. So, can someone explain me what is the problem here?

@extrahistory

6 жыл бұрын

It's not really a problem, but my understanding is that non-Euclidean geometry exists when the 5th postulate *isn't* true. So it's more that we felt the need to explain the basic premise that Euclidean geometry exists on, before moving on to why non-Euclidean geometry is a big deal. I haven't seen all the episodes or the scripts yet but I am pretty sure this is the direction it's moving in --Belinda

@band-o-lear

6 жыл бұрын

My understanding is that Euclidian Geometry only works on a 2 dimensional plane. The 5th postulate requires a perfectly flat plane to always be true, as soon as you start with a non flat plane, then it isn't always true. As an example, look at the lines of longitude on the earth (these ones run from the North Pole to the South Pole). At the equator, they intersect the equator at 90 degrees. Yet they also intersect at the poles.

@paulzagieboylo7315

6 жыл бұрын

This is roughly correct. One of the not-so-obvious results of the 5th postulate is equivalent to saying "the universe is flat". So when you try to do geometry in a universe that isn't flat (like, say, the surface of a sphere), you end up having to replace the 5th postulate with something else that expresses the non-flatness of your new universe. MrCervelo's example of longitude lines is a good one; spherical geometry is equivalent to saying "if a straight line crosses two other straight lines, the other two straight lines always eventually intersect each other on both sides of the first line." Which is clearly not what Euclid's original says.

@brettd2308

6 жыл бұрын

Yep, it's only a triangle if you're working on a 2D plane. Once you add the 3rd dimension, the 5th postulate isn't always true, and that's what leads to the field of non-Euclidean geometry. Even though Euclid's own contemporaries and other early mathematicians were troubled by the 5th postulate, it was so fundamental to early geometry study that mathematicians spent 2000 years trying to prove it to be true before discovering elliptic and hyperbolic geometry.

@Tina-Brune

6 жыл бұрын

I think the other response are just giving you the solution when you asked for what the problem was. The problem with the fifth postulate is that it it doesn't say something as fundamental as "two of the same things are the same", but something that felt like a result that should come from the other 4 postulate. So a lot of very smart people tried to demonstrate the 5th postulate from the other 4 to no success. The reason it 'feels weird' is because the other postulates are definitions about the objects geometry works with within the space while the fifth is aconvoluted way of describing the space the objects are in. Of course, Euclid and co didn't know that, they just noticed it was out of place. And the DID NOT like that.

You missed a great crossover opportunity with numberphile.

@feynstein1004

6 жыл бұрын

Or 3Blue1Brown

How to be Euclid: Step 1: Revolutionize mathematics Step 2: Refuse to elaborate Step 3: Leave

this is one of the absolute best videos. Ancient math is really inspiring.

The most republished book, after the holy book of a rligion which spans roughly a seventh of the world's population, is a book on geometry. Mind Blown!

@cutecommie

6 жыл бұрын

Too bad they didn't tell us the 3rd most republished book.

Honestly, after all this time, I'm envisioning an Extra Credits animated movie following Walpole as a timetraveling huckster and con-artist, and a ragtag team of cross-millennial heroes that are trying to track him down. Cheng I Sao, Hannibal Barca, Tokugawa Ieyasu, Theodora, John Snow, Jigonsaseh, and Federico da Montefeltro all together running down this financial weasel. Along the way, Walpole puts together a crew of his own: Bohemond and Baldwin from the first crusade, John the Cappadocian, Wilhelm II, and Otto Von Bismark (who eventually betrays Walpole and joins our heroes).

@mobiuscoreindustries

5 жыл бұрын

John blunt, *get the investors*

@salmon1426

4 жыл бұрын

make this real. now.

@AbdulGoodLooks

4 жыл бұрын

@@salmon1426 Yes!

My most sincere congratulations choosing this topic and presenting the greek geometry in this episode. If you do (and I have no doubt of it) a nice job with the other episodes in this serie, the result will be brilliant. If this is the last Extra History serie narrated by Dan, then it is a great topic to say goodbye (to his voice). Congratulations again.

Pythagoras: the universe is a perfect mechanism Quantum mechanics: helo

ALL HAIL THE SHAPES WORSHIP THE SHAPES

Dan I don't wanna see you go, but I'm excited for what you'll do next

"Geometry wasn't the only thing that fascinated him." I'd be worried if it was.

@dannydavi-toe7412

3 жыл бұрын

lol

English: a Maths: aa Science aaa Coding aaaa Geometry AAAAAAAAAAAAAAAAAAAAAAAAA

I see Pythagoras got my autobiography. Good.

Best video discussing geometry since Paul barbado's "Geometry Now"

AHHHH!!! This EH covers my exact interests! More so than the Sengoku Jidai, I am sooo interested in Math and the history of it. Honestly I never realized that the ideas of Pythagoras were philiosophical/spiritual, I never knew that Pythagoras was anything more than a scholar of logic and mathematics. To come across this the day after it realized is torture! Now I have to wait to know more!

Stop plagiarism, encouraging stolen knowledge. Indian mathematicians deserve credit

@hauntologicalwittgensteini2542

5 жыл бұрын

"Stolen" lol

@KateeAngel

5 жыл бұрын

Copyright did not exist back then. And learning from other cultures is only good, cause people have to improve life of their own country by using knowledge from all other the world

@hauntologicalwittgensteini2542

5 жыл бұрын

@@KateeAngel honestly how does somepne copyright math

*scribbles notes* Yes... Yes! History is helping me with Maths. AT LAST!

@btdpro752

6 жыл бұрын

PlifalTV try Khan academy. Taking notes there is much "faster" and it is more organized

@plifal7799

6 жыл бұрын

Haha, it's just part of the joke - I know Khan Academy but I haven't had a Maths class in over a year.

This is the Extra History series I never knew I wanted so much. I'd love to see a full-fledged Extra Math series at some point!

I about screamed when I saw this! My favorite channel combining my two favorite subjects is a dream come true! I am so excited!!

postulate 5 is important with double barrel shotguns since both barrels are slightly pointed toward each other thus if both barrels are fired at once the shot from each shell will intersect each other at some distance. its called barrel regulation in the shooting community but is basically postulate 5's principles at work

Would Euclid be Euclid? Or would he be Safe? Keter? Thaumiel?

@HaloInverse

6 жыл бұрын

Euclid himself is Safe/Neutralized, but the contents of Euclid's Elements are Keter/Thaumiel, depending on circumstance - containment cannot be guaranteed due to the inevitability of their independent reinvention. That said, it's unclear whether their non-anomalous appearance is genuine, or the result of an embedded countermeme.

@yonka-cola8792

5 жыл бұрын

Keter squad

He'll yes! Are we also doing the development of projective, differential, and algebraic geometry? Because their histories are all fascinating. No doubt Poincare will make an appearance.

How did you just make geometry feel like an epic adventure? It is awesome!

Euclidian geometry and all of this was my favorite class in college. Well done and I look forward to the rest

What a coincidence, my class visited the grave of Bolyai, a founder of non-euclidian math yesterday.

Congrats you made math interesting to me.

The professor I had for senior-level geometry called geometry the study of properties that are invariant under certain types of transformations. I expanded on that and called mathematics itself the study of invariant properties. (For example, the statement "3 + 2 = 5" means that the union of two disjoint sets, one with three elements and one with two, will always have exactly five distinct elements. That's an invariant property.)

I've been bing watching every EH episodes for the last 3 weeks I can't wait a week for another epiaode 😩😩

As a mathematician, thank you.

@enlightedjedi

6 жыл бұрын

And as a say StarCraft player (taking a guess)?

I won't lie, having study this subject with some sort of depth, I was a bit scared at first even with the trust I have on extra history. But this episode was impecable. The one thing I often don't see stressed enough is that Euclid did not create classical geometry but made apparently the best synthesis of it, as Euclid's Elements are the only full elements we still have (of what seems to be many composed around that time). This is indeed due to the beautiful and detailed logical evolution of the text. Lewis Carroll, who was also a mathematician, made a beautiful chart showing the logical steps on the first book of Euclid that I couldn't recommend enough. Even without being as familiar with geometry nowadays as then, I still think that the elements, at least the beginning of the first book (and a little bit of the arithmetic books as well), are a wonderful read, and being so self containing, can be tackled with more or less effort by anyone (as long as you have a pencil, a straight edge, a compass and patience).

@manuc.260

6 жыл бұрын

I would have however mention a few of the alternative formulations of the postulate, even if I can imagine they'll appear in later videos, to make sure that people less familiar with it can keep one they understand in mind while going through the series (like, the sum of the internal angles of a triangle is 180º).

Geometry?! MY WEAKNESS...

@robertwalpole360

6 жыл бұрын

Mwahahaha!

All rise for the sermon of the holy triangle. The people of Greece cried unto the lord for how to find the perimeter of a triangle of angle right. And so the lord decreed that if a shape were to possess three sides, and if two of the sides should meet each other at exact perpendicular angles, then the length of the longest side doth be equivalent to the square root of the sum of the squared lengths of the other two sides. And so the people found their hypotenuse, and the lord deemed it RIGHTeous. From the book according to Cousin Tan.

@spiritfoxmy6370

6 жыл бұрын

Tyler van de Ven ... *slow clap*

@merrittanimation7721

6 жыл бұрын

That's amazing

This episode is awesome! I'm probably going to learn more here than in math. So yayyy!

@btdpro752

6 жыл бұрын

blueroman55 not really

@btdpro752

6 жыл бұрын

blueroman55 it is impossible to learn more here than in math in school unless you haven't made it to high school or took regular classes in middle school.

@welp2388

6 жыл бұрын

blueroman55 You are learning the history of Math not really the formulas or proceedings for equations.

@blueroman5538

6 жыл бұрын

Yeah I know. I was just trying to be funny

@btdpro752

6 жыл бұрын

Welp this is here I am talking about math as a passion and education not it's history. I find both interesting.

Hey there Cthulhu down there in your sunken city...

@merrittanimation7721

6 жыл бұрын

Scream of Shadow Stop confusing obtuse and acute

I love that James has a teacup... spot on, my good man, spot on!

If math was explained to me as the perfection of the universe i'd have been far more interested in learning it in school

Whaaaat? Math in extra history???

@enlightedjedi

6 жыл бұрын

Cool, no?

@Nerdnumberone

6 жыл бұрын

Mathematicians actually do stuff, so during history, things happen in the field of math.

@Fuzato15

6 жыл бұрын

enlighted Jedi Absolutely. My favorite topics merging together.

We'll go 3-D!

Postulates 1-4: Why can't you just be normal! Postulate 5: *Screams*

me: oh boy another extra credits video!!!! me five minutes in: wait a second you've been teaching me MATH

Is this the Lovecraft episode?

Better than math class

@btdpro752

6 жыл бұрын

Aiden Rodgers well not really. But if you want acesable organized information try Khan academy. The KZread channel or website.

@aidenrodgers681

6 жыл бұрын

Btd Pro technically yes, but are they narrated by dan?

Very cool idea, focusing on mathematical history. And I like how you're doing it thus far, bringing it down to an elementary level without making dumbing it down. Keep up the good work!

Great take on on one of the most interesting foundations of mathematics

Geometry cult

@Mr_Spock512

5 жыл бұрын

Tip: stay away from the Kool-Aid jug.

Six day War next please!!

@stormtrooper5965

6 жыл бұрын

Not exactly history, when it happened not even 50 years ago.

I recently took a college course on euclidean and non-euclidean geometry, and modern rigorous mathematical textbooks still follow Euclid's organization. Start with the definitions (The Axioms), the things that are observationally true or assumed to be true. Then, build everything upwards. Oh, and for those of you wondering how Calculus is derived from geometry, the first rigorous, working proof of integration (Calculating the area under a curve) was a geometrical proof based on drawing rectangles whose width approaches zero, and adding the sum of all the areas of said rectangles. It's pretty neat, if you've taken enough collegiate level math classes to understand it.

As an English major with a love for history I have a natural aversion to numbers, and yet, I now find myself intrigued and engaged on a math conundrum thanks to this video... well played Extra Credits!

H.P. Lovecraft anyone?

4:00-this is the problem with math: it isn’t always reality. Most shapes aren’t natural, but man made and are closer to abstraction that concrete thinking.

@matijaderetic3565

4 жыл бұрын

To change your mind check out zach star's channel. Seriously, you are underestimating how well and accurately mathematical models describe reality. A lot ot time even precise approximation is a very useful tool. And it's still being developed.

I'm so excited for this series! This is my entire mathematical education.

I just came from a Randall Carlson video spree, and now EC comes up with THIS. Perfect day!

Science: *exists* Religion: "Yeah, i'm still better than you."

@BradWatsonMiami

4 жыл бұрын

GOD=7_4 Sacred Geometry The ancients all observed the 7 moving objects in the heavens or 'sacred 7 Luminaires' known today as the '7 Classical Planets': Moon, Mercury, Venus, Sun, Mars, Jupiter, and Saturn. 4 of these can't be easily seen during the day/4 don't cast shadows on Earth. All ancient cultures tracked the 4 lunar phases of roughly 7 days (~7.4 days) each, thus 4 weeks in a 'moonth'. Lunar year + 7 day week + 4 days = solar year. The Roman Calendar has 7 months of thirty-one days + 4 months thirty days + February's twenty-eight (7x4) days. Orion is 7 stars with 4 being his shoulders and knees + Orion's Belt. The BIG Dipper & Little Dipper are both 7 stars with 4 in their bowls.* The Pleiades/7 Sisters is the 4th most recognizable asterism. Mars returns to the same point in relationship to the Sun & Earth every 47 years. GOD=7_4, 7/4= July 4th. These are examples of GOD=7_4 Theory; see GOD704.fandom.com .

@cometmoon4485

4 жыл бұрын

Just because European Christians spent centuries in an ignorant dark age, you (wrongly) assume that ALL other religions across the world rejected science and scholarly endeavors? Okay.

@maxwellsequation4887

3 жыл бұрын

And religion does not know that its trash

@DuskGaming

3 жыл бұрын

This doesn’t prove any particular religion

*Was it Walpole?*

@infamousedge7802

6 жыл бұрын

Nami Plays Probably..

@superhatguy

6 жыл бұрын

(yes)

@stanlim9182

6 жыл бұрын

Andrés Loaiza Ramírez 1:09

@robertwalpole360

6 жыл бұрын

Most definitely. ;)

Ran across this my accident this morning. Reminded my of a class I took in Projective Geometry many years ago. It was taught by one of my favorite Math instructors. I don't know that it served any practical purpose other than mind games but I enjoyed it. It had several postulates such as all lines meet (those we think of as parallel met in the ideal point). All planes intersect (those we think of as being parallel intersect in the ideal line) etc. I loved it maybe because I got three credits and an "A" in the course

I am so hyped for this :)

Seems I finally know who to thank for the hell I went through during geometry class!

Wait so almost everything in geometry can be proven with the first four postulates, but the fifth one is used to build geometry ? Am I the only one who wants some examples ? Because that made no sense to me...

I'm going to miss you Dan. Your voice guiding me through so much of history and game design has been a great part of my day. I wish you luck!

well. that was taught to me in Basic Mathematics in my university, paraphrasing the 5th postulate is "two coplanar lines that are non-parallel will always meet at some point". that was explained if I remember correctly by newton in his use of vectors, by tracing the rays of said vectors one can resolve the equations for the rays and find the exact point of collision. widely used in games as well.