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Absolutely brilliant! thank you!

Started online judging for SoME4 and remembered this video from SoME3. Honestly my favorite video, my mom is a math professor and she loved it too. I'd love to see you make another one for SoME5, your style of presentation makes your video a lot more grabbing than most other submissions

I remember this from college but I don't remember how to do the equation lol

Great Thanks again

Cause Egyptians didn’t build i! They stumbled on it later. Like after the comet, flood , ice age. The ancients built it using a simple string and holding it up to the stars. It’s called a plumberline!

Nice video! Thought this was minkowskis theorem from the thumbnail which uses a similar mapping

Guess and check, perhaps the oldest trick in the book p.s. you can put a video link above the description

Not enough likes and subs :/

Explains absolutely nothing. Will look for a better tutor

Every now and often I teach a unit on Egyptian Math to high school students. This demonstration is the best I have encountered as a POSSIBLE way to could have reasoned. It is also worth saying that numerous arguments by the Greeks were credited to be coming from the Egyptians, and that argument seems to fall exactly in line. Thank you!

Here's an image of the original math problem. You'll need to know Ancient Egyptian hieroglyphics to translate what it says exactly: upload.wikimedia.org/wikipedia/commons/3/3b/Papyrus_moscow_4676-problem_14_part_1.jpg Personally, I think that they stumbled across the neat mathematical phenomenon by trial and error. They knew how to dissect shapes. Other thoughts... The Ancient Egyptian pyramids are stepped and a series of stacked cuboids, and not the smooth angled ones we think pyramids are as a general shape. I.e. it's a bunch of cuboids, or rather to them, it may have been a series of areas of a square times its height all added up. The formula can be derived from this, with greater accuracy using more and more steps of the pyramid (cuboid cross sections). They'll be able to see what volume it tends towards.

The point is not to confuse the notation qith the numbers. Same as music and language.

Really loved this. I am looking forward to more content like this one. It was fresh, interesting, made me take pen and paper and think about a problem. It even has yo-mama jokes. Niiiice

Or we just using the easy way and saying that Aliens have shown the Egyptians the formula. Joke aside, your guess is really convincing.

I think you’re forgetting the new mathematicians greatest discovery tool. Doing an equation the “wrong way” but ultimately finding a new way to do it. I think the long equation was known but somebody made a “mistake” and proved something new

did they actually need to know the volume? this was done over years, and filling the thing with stones that doesn't pack neatly is one more reason that it's not really needed they likely just filled the thing up until it reached high enough it's >35% rubble, not cut stones

I liked and subscribed. Gonna be expecting that 10/22/6023 video.

The Egyptians could have made TH-cam videos, it's a bold claim to make, when there is no evidence they DIDN'T make TH-cam videos.

Gotta love any math video that insults my mom right off the bat. Your disection / reärrangement theory is brilliant.

Will you publish this? I mean it’s completely bew

8:48 The Egyptians knew about rationals but not to the extent of their manipulation that we know today. They could conceive of 'parts' which when aggregated gave 'answers'. They'd say take a fifth then add a sixth and remove a fourth to arrive at a solution but they couldn't just say take seven 60th's because that level of manipulation was beyond them. That we can express their ways of doing things via algebra just makes us clever in figuring out whether they were correct or not, it has no baring on whether they were as bright as us or not or indeed how they arrived at their ways of calculation. All it really says is that our slick way of figuring things out via algebra means that we have forgotten the old ways of doing things. 12:00 Bravo! :-) I think you have explained exactly how they did it! I am well impressed :-)

lol, I had to turn subtitles on for this 🙂

Excellent presentation! The ⅓ of height was a worrying step with integer counting.

Almost always, pre-algebra, some hipster used geometry

Talking about Ancient Egypt is talking of about 3 millenniums, without more precision, we could say Israel had atomic bombs at the time of Christ. I've done a little research (well, I just read Wikipedia), the Moscow papyrus is a late document, 20th to 22nd dynasty, which means around 1000BC, effectively well before the Greek mathematicians, but more than a millennium after the construction of the great pyramids, they had time to think about it.

You don't need algebra to know that a square of a sum is the sum of squares plus two times the product, and you do not need algebra to know that the difference of cubes is the difference times the sum of squares and product. Fermat's proof on Fermat theorem for n=4 is in full latin without a single variable. This looks very much overfitted and completely over interpreted, just because of one sheet of papyrus. You do not even know if egyptians had complete valid proofs or were satisfied with heuristic equalities that happened to always work.

I like the pyramid shaped measuring tool. It’s my guess that the Nubians actually had such Pyamid shaped measuring tools to measure exact fractions of the cube or a cubit sized box of grain or whatever substance.

One trick for that Roman Numeral multiplication, which I know we all struggle with in our daily lives: use a weird form of Roman scientific notation. However, rather than multiplying by 10 being equivalent to adding a zero to the right of the number, it’s equivalent to “bumping up all the symbols”. In the table he gave, every number in the table is equivalent to either 1,5,or 25. The only difference is how much the symbols are bumped up. So you can kinda do Roman numeral lattice multiplication to solve digit by digit dealing only with I,V, and X and then just convert them all at the end. This is still nowhere near practical for any kind of use, but it’s fun trying to push the boundaries of this old system

Thanks for this interesting video! Just a quick remark on your "Before they discovered the wheel" remark - I know that was meant to be a joke or offhand comment but this is incorrect. They knew about wheels. Egyptians primarily used the Nile for transport (and thus are "sea faring" society); wheels in the desert make little sense. As many historians have observed, the issue isn't about "inventing the wheel" - the main technological challenge was to create a working axle.

Congrats on the (much deserved) honorable mention for SOME3!

nobody : absolutely nobody : conspiracy theories : " YOOOO we found the 69420 th (false) proof that aliens contacted with the ancient egyptians and made the pyramids. "

4:03 Was the wheel originally used for pottery in Egypt as well? I knew it was used in China for pottery long before it was applied to transportation, but it's interesting to hear the same is true among other cultures.

what i think is going on here: the induction step says that if there are n+1 horses, then n horses are already monochromatic, whch is true, and any subset (of the original n+1) of n horses shares at least 1 horse, which is false, specifically if n == 1 n+1 then assumes that in 2 horses, every subset containing exactly 1 horse, also shares a member, in which case the proof only works if all horses are one horse (assuming a pride of horses can contain the same horse multiple times :D)

Know the volume of a pyramid? Yeah, I think the Egyptians had that one down.

Another internet hoax.

Egyptian math homework was literally “Chepsut has a ten foot pyramid and Nefer has one half that size. What is the ratio of their volumes?” You can’t make this up

Ancient Egyptians did not know algebra (equations) but they were masters of geometry (measurement). They would realise that you can easily divide a truncated pyramid into easily manipulated rectangles and trapezoids by dissection.

How is it even possible to speak that unintelligibly? Thank goodness for CC **facepalm**

Getting the volume of a pyramid is easier than this - so i would assume that for the side-parts they just used that.

Garbage little jokes spokenreallyfastattheendofasentence.

Basically, you can do algebra (manipulate forms) physically using clay.

Criminally undersubscribed. I've subbed, look forward to more, and wish you success to get the view numbers you deserve.

please speak slower and enunciate

Always happy to rewatch this awesome video again, now in short form!

With the quality of your videos, I thought you'd have several hundred thousand subscribers. The subtle humor is 💯

Dam I've never seen a physical proof. Very cool