Despite his huge influence on modern mathematics and science, it's fair to say that Archimedes' accomplishments are still under-appreciated and underestimated by the public to this day! I think it's worth mentioning that the "Eureka" crown story is almost certainly apocryphal though. :)
I love how Archimedes turned a simple bath into one of the most important discoveries in science. Makes me wonder what I could figure out in my next shower! 💡🚿
I sometimes fantasize about how amazing it would be if we could go back to the past and share our knowledge with people like Archimedes. How amazed and filled with wonder they would be at knowing so many secrets they have spent their lifetime striving towards. It makes me realize how lucky we are. The sum total of human knowledge at our fingertips and yet for most of us we take it completely for granted and instead occupy our thoughts with utter trivia.
I remember some of your early efforts on this channel. While the research and substance were always evident, the quality and poise of your presentation have become amazing. Your videos are always one of my favorites to watch when they appear in my notifications. (And your subscriber numbers seem to support my opinion.) Congrats on your excellent work! 😎🎄
and she gave birth to her firstborn, a son. She wrapped him in cloths and placed him in a manger, because there was no guest room available for them. ~ Luke 2:7
There were two other tidbits that Archimedes discovered were two interesting facts; a sphere's surface area is about 52% of a cube in which it is inscribed, similarly for the volume. Seems to be almost trite by modern standards, but at the BCE time, a big deal, from High School. I've heard that even today many use this sort-cut.
Excellent! Years ago I saw a PBS advertisement for an upcoming documentary about Archimedes. I missed the documentary and wished to learn more about him ever since.
The Roman general Marcellus expressed deep regret over Archimedes' death, recognizing the potential benefits of his genius for the Roman Empire and honoring him posthumously.
Not the calculus as we know it, with derivatives and primitive functions, but that was probably only because Archimedes didn't know about functions and only used the method for finding areas (and volumes), using a geometric analog of integral calculus.
Hi. Al-Koshiy, one of the leading scientists of the Ulugbek Observatory, was the first to obtain the best result regarding the more accurate calculation of π.
There were many improvements in the value of pi throughout history, it is not like mathematicians stopped thinking about it. They all continued to find more and more decimal places. (e.g. Aryabhata found it precisely to 3 decimal places )
So, in what way was he "strange"? He may also have built the Antikythera mechanism. And he never mentioned moving the Earth: "δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω"
Archimedes is linked to the Antikythera mechanism, the first analog computer 1000yrs before Europe, now linked to Astronomical ceiling of Senenmut's Tomb, Egyptian were far better than the Greeks, Great pyramid mathematical master-piece was 2000yrs before.
Wrong. You don't understand Archimedes' Principle. What he discovered is that when immersed in the water, he was lighter than normal due to the buoyont upthrust of the water. His eureka moment occurred when he realized that the difference in his weight must be equal to the weight of water displaced.
We may opine that nude experimental physicist #1 just got a bit carried away by the possibilities of his impromptu discovery. But the Greeks associated nudity with godliness. So I am wondering if the legend about Arch with his ungodly body running around disrobed, was not just an attempt to glorify him. He surely took a godly "first step" 🥱for physics, so to speak!
The number of grains of sand are about what I once estimated would be the number of planck-lengths on a diameter of 7,6 ligthyears. surely coïncidence but funny
I’ve never understood the crown story. Silver may be lighter than gold but volume is the same. A CC is a CC. Each should displace an identical amount of water. So what you’d do is gather the spillage and weigh it and compare to the weight of an equal volume of gold. Then of silver. Running from the bath is surely jumping the gun.
No. It's very hard to measure the volume of a crown, but trivial to measure the mass of a crown. Therefore, you take the crown, and some pure gold of equal mass, then use the water to demonstrate that they are of different volumes.
Assuming that the story in this video is correct, you might understand it thusly: First you take your crown made of mystery metal and you put it on a scale. On the other plate of that scale, you put gold, until both plates are level. So you'd have, for example, a 1kg crown and a 1kg gold bar or whatever. Now put the gold bar in a tub that's already full of water, so that some water spills out. Don't mind that water. Then remove the gold bar and put in the crown whose composition you want to ascertain. If the 1kg crown were made of aluminium, which is less dense than gold, it must displace a larger volume of water than the gold bar did. So when you put the crown in the tub, water would overflow again. If, instead, the 1kg crown were made of 100% gold, when you put it in the tub, the tub would simply be full again, as it was when you had put the 1kg of gold. In the rare case that the crown was made of osmium, which is denser than gold, you'd find that the tub doesn't even become full again when you put the crown in it.
Since a CC of silver weighs less than a CC of gold, a crown the weight of the gold the King gave the guy would have a greater volume if it were alloyed with silver than if it were pure gold. The spillage for the mixed crown would be more than the spillage for pure gold of the original weight (a bar of gold, say). The lesser weight per CC of the silver component would mean there would need to be more of it to make it the same weight. Think of a bar of lead of a certain size, and a bar of soap. To make the soap the same weight as the lead, it’s going to have to be many times larger obviously. It’s this difference in size (volume) that gives the soap away: Much more water will spill out than when the lead bar is submerged. Incidentally, it would also give you the relative density since you now know the mass and the volume. M / V = D. But that’s only if the objects are homogenous. The fake crown Archimedes was dealing with was presumably an alloy.
The density of an impure crown is less than that of a pure gold crown in this situation, and consequently, even if the mass of the crown is weighed against the mass of the pure gold of equal weight, the mass is *distributed throughout* a greater volume in the impure crown, which in turn displaces more water than a *pure ingot* of a certain density of gold. If the objects were the same in material composition, that is, pure gold, they would have equal densities, and if their masses are fixed, then regardless of shape they would *necessarily occupy the same volumes* and thus *necessarily displace the same amount of water*. Ma = Mass A | Mb = Mass B | A = Test Metal | B = Pure Gold | Va = Displaced volume of water by A, same for Vb for B. Pre: a.) Greater volumes displace more water when submerged. Q.) Is the crown made of pure gold? 1.) The crown made of A weighs Ma 2.) An ingot made of B is weighed to Mb. 3.) If Ma=Mb through weighing, then Va = Vb, therefore A = B. Test Result: Va > Vb, therefore A =/= B. More volume is displaced by the test metal of equal mass than by the gold ingot of equal mass. This means the test metal is *not* pure gold at this equal mass, as pre our pre, the greater the volume the object, the more water is displaced. Therefore, the test metal occupies more volume for an equal mass, indicating they do not have the same density. (mass/volume). Therefore, the crown is not made of pure gold, as if it were, they would have displaced equal volumes. This could mean: the pure gold ingot was more dense than pure gold, which is not rational for these considerations. Or, the crown had an alloyed metal to it, diluting its purity. Silver, aluminum, etc. are less dense than gold, and consequently occupy more volume for an equal mass, and would thus displace more water in this experiment than an equal mass of gold.
Archimedes learned mathematics in the Nile valley civilisations where they had an exceptional grasp of geometry. It’s unlikely he discovered much when he was merely a student there. What’s more probable was that he was appropriating & plagiarising mathematics and especially geometry of Kemet.
This is all lies bcos prophet Noah was the first to discover the buoyancy and upthrust because he was the first to use ship 🚢 to carry creatures into his ark, we're always misled
Fun fact: Pi is also sometimes called: "Arcimedes' Constant" Also and she gave birth to her firstborn, a son. She wrapped him in cloths and placed him in a manger, because there was no guest room available for them. ~ Luke 2:7 Jesus loves you!❤✝️Repent and MERRY CHRISTMAS
*What other videos would you like to watch?*
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ACTUALLY, HE IS NOT A STRANGE MATEMATICIAN... HE IS A REAL MATHEMATICIAN, JUST LIKE OTHER PROFESIONAL MATHEMATICIANS... BUT HE HAS A LOT OF IDEAS.
You guys are lying... Archimedes and most of all those so-called Greek genius studied in Alexandria and learned from priests in kemet (ancient Egypt)
Despite his huge influence on modern mathematics and science, it's fair to say that Archimedes' accomplishments are still under-appreciated and underestimated by the public to this day!
I think it's worth mentioning that the "Eureka" crown story is almost certainly apocryphal though. :)
No. I was there and saw him do it.
What we know about the man barely fills a single page, yet whoever wrote those books was clearly a genius of the highest order.
Why do you think the story is apocryphal?
"Do not disturb my circles" - Archimedes
He should have said "Don't enter my circle or I give you a round-house kick".
nice pfp
No...
Its:
"Noli turbare circulos meos" -Archimedes
@@PygmalionFaciebat Archimedes spoke Greek, most likely he did not understand or speak Latin.
I love how Archimedes turned a simple bath into one of the most important discoveries in science. Makes me wonder what I could figure out in my next shower! 💡🚿
One of the greatest man to ever live.
I sometimes fantasize about how amazing it would be if we could go back to the past and share our knowledge with people like Archimedes. How amazed and filled with wonder they would be at knowing so many secrets they have spent their lifetime striving towards. It makes me realize how lucky we are. The sum total of human knowledge at our fingertips and yet for most of us we take it completely for granted and instead occupy our thoughts with utter trivia.
He would probably just laugh in disbelief.
Reminds me of the doctor who with van Gogh
We know nothing compared to them. All we did was build stuff.
I remember some of your early efforts on this channel. While the research and substance were always evident, the quality and poise of your presentation have become amazing. Your videos are always one of my favorites to watch when they appear in my notifications. (And your subscriber numbers seem to support my opinion.) Congrats on your excellent work! 😎🎄
Not to mention he was the Greatest mathematician to exist before christ. Btw, Merry Christmas
Merry Christmas!
and she gave birth to her firstborn, a son. She wrapped him in cloths and placed him in a manger, because there was no guest room available for them. ~ Luke 2:7
Euclid next ❤️❤️❤️❤️❤️
YESSSS
Jesus loves you!❤✝️Repent and God bless
Then Pythagoras!
His screw device is still used today, in every cement mixing lorry you see. Most people don’t know that.
There were two other tidbits that Archimedes discovered were two interesting facts; a sphere's surface area is about 52% of a cube in which it is inscribed, similarly for the volume. Seems to be almost trite by modern standards, but at the BCE time, a big deal, from High School. I've heard that even today many use this sort-cut.
0:39 Archimedes out of context 💀
Excellent! Years ago I saw a PBS advertisement for an upcoming documentary about Archimedes. I missed the documentary and wished to learn more about him ever since.
The Roman general Marcellus expressed deep regret over Archimedes' death, recognizing the potential benefits of his genius for the Roman Empire and honoring him posthumously.
Love your videos always nice to have a calm history story teller❤
Very nice one. You only didn't mention his discovery/invention of calculus.
Calculus was invented in the 17 century by Newton and a German guy at the same time
Nope, archimedes did. Leibniz rediscovered it but based on archimdes methods.
Not the calculus as we know it, with derivatives and primitive functions, but that was probably only because Archimedes didn't know about functions and only used the method for finding areas (and volumes), using a geometric analog of integral calculus.
Here's to Archimedes, truly immortalized.
Hi.
Al-Koshiy, one of the leading scientists of the Ulugbek Observatory, was the first to obtain the best result regarding the more accurate calculation of π.
Do not disturb my circles! 💯
I hope you know that your videos are an absolute work of art
There were many improvements in the value of pi throughout history, it is not like mathematicians stopped thinking about it. They all continued to find more and more decimal places. (e.g. Aryabhata found it precisely to 3 decimal places )
This is some of the most finest storytelling out there 🛐
Always love your videos! Have a Merry Christmas and thank you for this treat today!
Thanks for sharing this
Nice video
On
Konstantin Tsiolkovsky pls...
It's a new mystery of the world why Egypt is so corrupted when once it was a great civilisation on earth.
when you love your work to the fullest
You forgot Antikythera mechanism ! who is said that it was his invension
To Archimedes, Master of Lifting 💪🥂
So, in what way was he "strange"?
He may also have built the Antikythera mechanism. And he never mentioned moving the Earth: "δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω"
One tree is bigger than another tree and so on.
The 2:3 ratio is the ratio for volumes of the sphere and cylinder. It's not the ratio for the surface areas.
Archimedes is linked to the Antikythera mechanism, the first analog computer 1000yrs before Europe, now linked to Astronomical ceiling of Senenmut's Tomb, Egyptian were far better than the Greeks, Great pyramid mathematical master-piece was 2000yrs before.
Under 1 minute gang 😎
Mathematicians would often duel to the death as natural philosophers often do.
Sir can you make video upon magnus carlsen thinking
Thanks to that gold smith now we have hydraulics in physics as a subject 😂
I'd like to know what he smoked to get those ideas
Fascinating
Thank you so very much❤🙏💕
Wrong. You don't understand Archimedes' Principle. What he discovered is that when immersed in the water, he was lighter than normal due to the buoyont upthrust of the water. His eureka moment occurred when he realized that the difference in his weight must be equal to the weight of water displaced.
Very interesting.
Please make the next video on Leonard Euler Sir
Leonhard Euler was even more famous.
Archimedes seems more like an Engineer to me
relatable intro
Please do make a video on Sir Leonard Euler
NGL, I clicked on this expecting it would be Grothendieck 😅
A great intellect but nowhere as weird as Pythagoros.
mathematics for the power and glory
It's actually pronounced "Heureka!"
9:03 Sounds like an old example of a bad cop.
I ❤ Newsthink
Wouldn't the crown have a greater surface area 🤔
Surface, yes. Volume, no.
Before the story about archimedes running through the street nude I got an ad for tequila.
Wrong!
The strangest mathematician in history was Paul Erdős!
Archimedes was undoubtedly a true genius and a goat 🐐😂
3:18 wrong
interesting!
We may opine that nude experimental physicist #1 just got a bit carried away by the possibilities of his impromptu discovery. But the Greeks associated nudity with godliness. So I am wondering if the legend about Arch with his ungodly body running around disrobed, was not just an attempt to glorify him. He surely took a godly "first step" 🥱for physics, so to speak!
Thanks ,but this is true or the myth that Archimedes run naked after knowing the truth about buoyancy.
The number of grains of sand are about what I once estimated would be the number of planck-lengths on a diameter of 7,6 ligthyears. surely coïncidence but funny
Great
8:20 🇵🇱✊🏻
😮
Archimedes has been discovered by the God's 🎉
Yes I’m am blush😊
You guys are lying... Archimedes and most of all those so-called Greek genius studied in Alexandria and learned from priests in kemet (ancient Egypt).
Nothing in his life is ‘strange’.
I’ve never understood the crown story. Silver may be lighter than gold but volume is the same. A CC is a CC. Each should displace an identical amount of water.
So what you’d do is gather the spillage and weigh it and compare to the weight of an equal volume of gold. Then of silver.
Running from the bath is surely jumping the gun.
No. It's very hard to measure the volume of a crown, but trivial to measure the mass of a crown. Therefore, you take the crown, and some pure gold of equal mass, then use the water to demonstrate that they are of different volumes.
Assuming that the story in this video is correct, you might understand it thusly:
First you take your crown made of mystery metal and you put it on a scale. On the other plate of that scale, you put gold, until both plates are level. So you'd have, for example, a 1kg crown and a 1kg gold bar or whatever.
Now put the gold bar in a tub that's already full of water, so that some water spills out. Don't mind that water.
Then remove the gold bar and put in the crown whose composition you want to ascertain. If the 1kg crown were made of aluminium, which is less dense than gold, it must displace a larger volume of water than the gold bar did. So when you put the crown in the tub, water would overflow again.
If, instead, the 1kg crown were made of 100% gold, when you put it in the tub, the tub would simply be full again, as it was when you had put the 1kg of gold.
In the rare case that the crown was made of osmium, which is denser than gold, you'd find that the tub doesn't even become full again when you put the crown in it.
Since a CC of silver weighs less than a CC of gold, a crown the weight of the gold the King gave the guy would have a greater volume if it were alloyed with silver than if it were pure gold. The spillage for the mixed crown would be more than the spillage for pure gold of the original weight (a bar of gold, say). The lesser weight per CC of the silver component would mean there would need to be more of it to make it the same weight.
Think of a bar of lead of a certain size, and a bar of soap. To make the soap the same weight as the lead, it’s going to have to be many times larger obviously. It’s this difference in size (volume) that gives the soap away: Much more water will spill out than when the lead bar is submerged. Incidentally, it would also give you the relative density since you now know the mass and the volume. M / V = D.
But that’s only if the objects are homogenous. The fake crown Archimedes was dealing with was presumably an alloy.
Coz your brain isn't as good as that of the great Archimedes
The density of an impure crown is less than that of a pure gold crown in this situation, and consequently, even if the mass of the crown is weighed against the mass of the pure gold of equal weight, the mass is *distributed throughout* a greater volume in the impure crown, which in turn displaces more water than a *pure ingot* of a certain density of gold. If the objects were the same in material composition, that is, pure gold, they would have equal densities, and if their masses are fixed, then regardless of shape they would *necessarily occupy the same volumes* and thus *necessarily displace the same amount of water*.
Ma = Mass A | Mb = Mass B | A = Test Metal | B = Pure Gold | Va = Displaced volume of water by A, same for Vb for B.
Pre:
a.) Greater volumes displace more water when submerged.
Q.) Is the crown made of pure gold?
1.) The crown made of A weighs Ma
2.) An ingot made of B is weighed to Mb.
3.) If Ma=Mb through weighing, then Va = Vb, therefore A = B.
Test Result:
Va > Vb, therefore A =/= B.
More volume is displaced by the test metal of equal mass than by the gold ingot of equal mass. This means the test metal is *not* pure gold at this equal mass, as pre our pre, the greater the volume the object, the more water is displaced. Therefore, the test metal occupies more volume for an equal mass, indicating they do not have the same density. (mass/volume).
Therefore, the crown is not made of pure gold, as if it were, they would have displaced equal volumes. This could mean: the pure gold ingot was more dense than pure gold, which is not rational for these considerations. Or, the crown had an alloyed metal to it, diluting its purity. Silver, aluminum, etc. are less dense than gold, and consequently occupy more volume for an equal mass, and would thus displace more water in this experiment than an equal mass of gold.
🥰
Archimedes learned mathematics in the Nile valley civilisations where they had an exceptional grasp of geometry. It’s unlikely he discovered much when he was merely a student there. What’s more probable was that he was appropriating & plagiarising mathematics and especially geometry of Kemet.
This is all lies bcos prophet Noah was the first to discover the buoyancy and upthrust because he was the first to use ship 🚢 to carry creatures into his ark, we're always misled
Fun fact:
Pi is also sometimes called:
"Arcimedes' Constant"
Also
and she gave birth to her firstborn, a son. She wrapped him in cloths and placed him in a manger, because there was no guest room available for them. ~ Luke 2:7
Jesus loves you!❤✝️Repent and MERRY CHRISTMAS
Very interesting.