Leonardo Da Vinci Circle Drawing
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Renaissance artists, masters of their craft. Leonardo Da Vinci; Michelangelo. Famous through the ages for their works of art. They placed much pregnant inside their works and the Vitruvian Human is no different. Leonardo Da Vinci used it to express meaning and I aim to explain some of what I have found hither.
The Geometric Masterpiece
What is the golden ratio? It a value expressed as Phi ɸ, and represented symbolically as information technology is what the pythagoreans call 'an unlimited'. Information technology is not a whole number and it is infinitely recurring and what'southward fascinating near Phi is that information technology is a fractal. When the exterior is the same as the inside. It is traveling non-destructively and is the math of infinity. i.e. when yous separate a line in this ratio the whole of the line will be of the same ratio to the greater office of the line. Information technology is a non-destructive sectionalization.
I want to first start by stating that this is a speculation piece based on my own academic interest of the gilded ratio and its value in connection with the material manifestation of existence itself.
This is a piddling unlike to what I usually endeavour to write, seeking to spark interest in the reader so that they may delve deeper for themselves in order to ascertain significant. In essence, I effort to report more broadly and fairly with the intention of seeking harmony rather than partition, as I believe that if the data is reported accurately, so the truth is not far behind, and the truth is one, and so if fairly reported then the culmination of all that I write should show connectedness in truth and behavior and non division. No more pointing fingers simply instead understanding.
Fix To Speculate
This subject, however, is not something that has or can really be defined as a decision. Equally I believe that some independent conjecture has to be practical in club to start the wheels of thought in others. It is not currently understood as fact at this stage of beingness and I believe Plato puts it well:
"…amid the variety of opinions which have arisen about God and the nature of the world we must exist content to take probability for our rule, considering that I, who am the speaker, and you, who are the judges, are only men; to probability we may reach no further."
Plato's Timaeus pg.fourteen
Here, Here, Skeptics
We will begin by debunking a generalized statement made by those who do not empathize this 'gilded ratio'. I have seen very often when the golden screw is expressed to testify the nature of things being derived from this ratio, the statement is oft made 'that is non the golden ratio.' To an extant yous are right, but the denier misses the purpose of reference.
Permit u.s. look at an example:
If we take the Fibonacci sequence, the numerical series that we expressed visually achieves the golden spiral, i,1,2,3,v,eight,13,21,34,55,89,144,233,377
Each number is the sum of the two numbers before it. The ratio of each to the last is what's important:
ane:ii=2, 2:3=1.5, three:5=one.666, 5:8=i.half-dozen, viii:xiii=1.625, xiii:21=1.615, 21:34=1.619, 34:55=one.617 55:89=i.618, 89:144=1.617, 144:233=1.618, 233:377=one.618…
Every bit nosotros can see, nature has a lawmaking with which it progresses and is that which it is attempting to reach. Information technology is the platonic state. We run across information technology vary and never perfect considering nosotros accept not nonetheless achieved the ideal state, simply are a reflection of it, and beingness is moving towards the ideal state. In that location is much variation in the showtime, simply through progression it begins to become much more stable. We are seeing the objective of form in these numbers. Throughout nature we come across that form is growing to achieve platonic state.
We tin can see this in the Vitruvian homo.
The Vitruvian Human sterpiece
Leonardo Da Vinci, when commissioned past… to illustrate a book about divine form, He was inspired by a man named Vitruvius, an engineer and builder, who, around 15BC, wrote a volume detailing the form of nature itself and its applications in design. He illustrated and described this within the human torso and this was the inspiration for the Vitruvian homo.
Inside this artwork, Da Vinci, geometrically expressed what is known as refracting the circle, which is a circle derived from the perimeter of a square. Not to exist dislocated with 'squaring the circle' which is deriving a circle from the surface area of a square.
If we assume that the length of the side of the square is 1, and therefore the perimeter summing upwardly to 4, and so to summate the area of the circle nosotros would want to find the diameter. Nosotros will be using the true value of Pi (iii.144 when the area under the edge of the circumvolve is measured every bit it was left out in Archimedes adding of π through the method of burnout. I volition do another article on that). So we would apply 2πr=4 since the perimeter of the square is iv, then, πr=2,
r=2/π, r=0.636 d=2r=1.272
This is what is known as the golden root. It is the number that when multiplied by itself (squared) is equal to ane.618 or the golden ratio.
To The (Pencil) Point
The signal of expressing this adding, is to show something else that comes up in Da Vinci'south cartoon.
The reason we cannot calculate accurately, directly from the drawing itself, is due to the thickness of Da Vinci's pencil mark itself. So it is not perfection. The same applies to existence as we currently experience it. The reason why the number is not consistently 1.618 in nature, is because it is not yet the ideal and perfect state. It is ever working towards it, as we tin can see from the progression of the Fibonacci sequence, striving for perfection. Only we have not notwithstanding achieved it. Leonardo Da Vinci is saying the same thing with his drawing. The square representing globe class and the circumvolve representing heaven.
Nosotros are of both heaven and earth, geometrically measured to both in his drawing, but we take withal to attain the ideal country, which is the apex of the triangle that forms within his drawing, in the heavenly space higher up the foursquare.
Dimensions Of Heaven
More testify for this is the geometrical markings on the 'earthly class and lack of them on the 'heavenly' body. Note that Da Vinci clearly marks proportions on the earth trunk. But leaves them missing from the exalted class. I make the merits that this is because the grade of heaven is across shape; it is infinite, every bit is represented past the circumvolve. Which itself is infinite in that information technology has no edges. The exalted man has cleaved free of the premises of what may be measured.
Did you know?
That when calculating the dimensions of a circumvolve we are estimating. We use the value of π, which is an irrational number; it has no end. Therefore, nosotros exercise not know the exact dimensions of a given circle.
The Great Pyramid actually squares the circle. It is accomplished by dropping a vertical line from the apex of the Pyramid to its base line. If this vertical line be considered every bit the radius of an imaginary circumvolve, the length of the circumference of such a circle will be constitute to equal the sum of the base lines of the four sides of the Pyramid.
Source: https://mysteryspeaks.com/vitruvian-man-hidden-secrets-of-leonardo-da-vincis-drawing/
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