Da Vinci’s Vitruvian Man of math – James Earle


This image of the Vitruvian Man,
taken from Leonardo’s sketches, has become one of the most recognizable
symbols of the Renaissance. But why? It’s a simple pen and ink drawing, right? Wrong! Let’s start to answer this question
with a math problem. I know how to calculate
the area of a circle. I take the value for pi
and multiply it by the radius squared. I also know how to take
the area of a square. I multiply the base by itself. But how can I take the area of a circle
and create a square with an equal area? This is a problem
often called “squaring a circle” that was first proposed
in the ancient world. And like many ideas of the ancient world, it was given new life
during the Renaissance. As it turns out, this problem
is impossible to solve because of the nature of pi, but that’s another story. Leonardo’s sketch, which is influenced by the writings
of the Roman architect, Vitruvius, places a man firmly at the center
of a circle and a square. Vitruvius claimed the navel
is the center of the human body and that if one takes a compass
and places the fixed point on the navel, a circle can be drawn
perfectly around the body. Additionally, Vitruvius recognized
that arm span and height have a nearly perfect correspondence
in the human body, thus placing the body
perfectly inside a square as well. Leonardo used the ideas of Vitruvius to solve the problem
of squaring a circle metaphorically using mankind as the area for both shapes. Leonardo wasn’t just thinking
about Vitruvius, though. There was an intellectual movement
in Italy at the time called Neoplatonism. This movement took an old concept
from the 4th century developed by Plato and Aristotle, called “The Great Chain of Being.” This belief holds that the universe
has a hierarchy resembling a chain, and that chain starts at the top with God, then travels down through the angels,
planets, stars, and all lifeforms before ending with demons and devils. Early in this philosophic movement, it was thought that mankind’s place
in this chain was exactly in the center. Because humans have a mortal body
accompanied by an immortal soul, we divide the universe nicely in half. Around the time Leonardo
sketched the Vitruvian Man, however, a Neoplatonist named Pico Della Mirandola
had a different idea. He pried mankind off the chain and claimed that humans
have a unique ability to take any position they want. Pico claimed that God desired
a being capable of comprehending the beautiful and complicated
universe he had created. This led to the creation of mankind, which he placed
at the center of the universe with the ability
to take whatever form he pleases. Mankind, according to Pico, could crawl down the chain
and behave like an animal or crawl up the chain
and behave like a god, it’s our choice. Looking back at the sketch, we can see that by changing
the position of the man, he can fill the irreconcilable areas
of a circle and a square. If geometry is the language
the universe is written in, then this sketch seems to say
we can exist within all its elements. Mankind can fill whatever shape
he pleases geometrically and philosophically as well. In this one sketch,
Leonardo was able to combine the mathematics, religion,
philosophy, architecture, and artistic skill of his age. No wonder it has become such an icon
for the entire time period.

100 thoughts on “Da Vinci’s Vitruvian Man of math – James Earle”

  1. Leonard was wrong. Wingspan is slightly greater than height on average. There are gender and race differences. see post on my blog Philosopher UK.com

  2. 对了,哪布有没有比晝更高價??,心血结布畫出??。
    鸽子覚得,卷髮王族應該加入反三合会,反共济会,反帝霸主意,反馬克主意,反白色恐怖主意,反蓝色恐怖主意,,,。
    然後追查修女依莎貝主兇众,,,??。其實古前卷髮是惡人,而且很多謊言迷惑万物以及动物,动物看見卷髮説法,大多抱头逃亡,然後囗张開抽脛抖动後死亡,口吐白泡沫,,,??。
    而且说—些修者众壞壞,但,,,教皇教宗众还是懐念旧众,卷髮和同胞男女,,,电椅,??,但,,,鸽子有先说过,不貞不孝无修者众心,,,??。
    跟你们说个很厳肅的敲敲話喔,,,。
    最先有銀行通火車,才一元喔??,比肯得雞还便宜的首創喔,而且大多都在喷水,比不上小費,街上也少有大鈔,而且善良好女性不多了,,,??。
    对了,請问,是鋼铁人不爱他爹了,欲換東土说客商官众,不孝哪,不貞不孝丫,天哪,大不孝丫,就形成跨父说客分身而棄掉夸克父??,还是泡咩忘父母,公司也失去??,總規一論,東土知技術要奌重奌简易化,大衆做得出做的到,还是像最後購物多代後,再簽科技建设电廠,室内太阳能転換,再四处打电话洽谈,,,看多了,省省吧,跨父言論追夸克父,会不会夸克父被说客群挤退後,说客官众洽商机,,,??。
    为什麽夸克父有事,東土还搞乱鸽子思緒,乱謅—堆??,是要取代成说客官众否,,,??。
    天哪,鋼铁群不孝哪,不卫不孝哪,不要他爹了,,,??。
    鸽子心停平板了,天哪,喔,麥,嘎,,,??,鸽子还想帮助隨时可吸波充心电能丫??,不孝丫?,下次夸克父構图心电能通下盘鳥鳥好了,直接电流失,,,天哪,大涅不孝丫??。
    唉,所以最先助最没價值,當然一切先論也是述说後,—文不值,但,,,对聖修众可是最殘酷的貞實言,对—切金權没差,,,??。
    哈哈,才一元,还好孫哥哥一佰,袁鄧毛可是有上兆元一張,夾在中間数字福蘭伪鈔多,,,才—元,对了,喷水池可以拿取嗎?,鸽子買金庫会快些,然後再存,存後再買金庫保险,然後再存,然後買地把金庫藏在地下,然後再存,然後買电子保险鎖,然後交致友保標幫開鎖数幣,点数後鎖上,,,?,因为,爪和翅啄嘴尖,不会開鎖,,,??,为什麼挾来邪地邪教处,,,??,对了,是不是基督长佬考驗鸽膽??,以前有義舉男女丫,都死了奶,,,?,为什麼挾来這儿丫?,逼論又作不出,还是用買賣的田僑仔習慣,,,丫??。
    鸽子都説好話唷,但,好人不多,壞人多???,怎麽辨???,不如,,,壞人多,,,,,,,。
    咦,叔叔,,,你,的,头,髮,,,怎,麼,有,,,,,白,头,髮??,会不会是,被咩群气急了??,選哪个咩好,,,??。史帝芬錫哥哥,在矛盾国一部电影内,多重人格案,从尸血少移尸,到海滩烤剩腿,一直到毒品,海軍盗,种族歧視还是很重吧,太阳室内聖诞科技组,,,就说拜科技太阳科学人众就好了,何必多种族又累人,,,?,探親飞到惡夢矛盾国,立馬惨亡又移尸加責枉,,,?至今久矣,还要麥克傑克演唱出旧史,,,??,,,。
    美深署己脈缺体,怎麽察查,,,??,算了唄,修气洗髓重要,,,。
    唉,天哪,天造涅,,,丫,??,不知是哪天???。

  3. Complaints about the narrator… 🤦🏽‍♂️🤦🏽‍♂️ is the dumbest thing you can ever do.. blossom on what he says not on how he says it

  4. Nope! The drawing was actually a solution to an architectural problem. Enough of this Humanities-led pseudo-philosophical babble lol

  5. Narrator sounds like a millennial anti-depressant fed, social media raised, typical NPR type trendy guy.

  6. Da vinci's vinctruvian. Man of math was not finished! If. He live today he would have place the ocean at the bottom. Land on the right side.and air on the left side. And space on top. The vitruvian man of of math is science and science is part of math.

  7. May be Leonardo never thought like this, just created random sketch but these experts do aftermaths and tell us the things which may be Leonardo never thought of LOL

  8. I feel like its a symbol from a 4th dimension.. time. You see different versions of yourself like trying to make a stick man walk or run through a series of flipping pages..

  9. The narrator voice kinda reminded me of Joey Tribbiani's award accepting speech. Not interested to do it, but is doing it anyway.

  10. The Queen of England owns the original drawing, along with a vast portfolio of Da Vinci's drawings, and some paintings.

  11. All this explanation, and I bet you all he did was draw a dude in a square and circle because he was just bored..
    ⬜⭕🤔

  12. man am so sorry to say this, but you sound terrible. the content is alright. please have someone else narrate, thank you.

  13. The channel should choose properly who narrates the story. He sounds so uninterested and rushing narrating the story. Yes, a man can put himself to anything he wants, but it doesn’t mean that he can be good in all of them.

  14. Them: come on it's been so long we have to finish this video tonight at any cost.
    Narrator: let's continue tomorrow I'm too sleepy.
    Them: come on! Let's do it now.
    Narrator: (yawning) ya ok.

  15. I didnt really understand the problem at the base of the video of how to create a square equal to the circle..
    if you know that the circle is pie*R^2=9 and square is B^2=9 just go reverse on the formulas..

  16. Great content ruined by an absolutely obnoxious narration. I could swear this was machine-read. Really, either learn how to give lectures (rather than just read in a monotone) or hire someone to do the job properly!

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