#can anyone prove why there are 360 degrees in a circle?

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fallow mesa
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and they were probably not happy about it

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369 looks a lot neater

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this could have been the first one they tried

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simply because of it's aestetic qualities

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besides, if your just getting atarted in a field that is toatlly new

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why would you need more than that?

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if you can divide the circle into 3 equal parts and fit 3 equilateral triangles into it

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you'd be happy as pie

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ypu would work with that until you exhaused it

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then say let's try something else

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369 is interesting

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just in it's digits

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3:6 is double

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6:9 is sesquialter (2:3)

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3:9 is triple

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that gives the octave, 5th and a 5th above the octave

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have to look under the hood of this one

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369 is divisible by 9

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it's 3*123

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of course 123 is going to appeal for aestetics

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123/3=41

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369/9=41

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3 is triple of 1

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6 is triple of 2

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9 is triple of 3

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1:2:3 :: 3:6:9

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41 is prime

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it's not very useful

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but who cares if it looks good

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you see this in the ancients very often

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the appeal to aestetics over functionality

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you see this at archeaological sites

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here's a bowl

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you can makde a bowl in no time

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but they have to put all of these engravings and artsy frills on a bowl

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it's a huge waste of labor

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but they get into and do it that way

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a bowl is a bowl

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they often elevate the aestetic over the functionality

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all of that gets trimmed off untill the system is more purely functonal but it takes 1000;s of years

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if you take aestetics as the beginning

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that they developed their customs to be pleasurable

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then it;s easy to see that if you believe that god is made of 3 parts

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man is made of body, soul and spirit

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and you alreading preconcieve the universe as being composed of 3 parts

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then you are going to begin astronomy and geometry using 3

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equilateral triangles in a circle

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that just looks good

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and you already have a religion or mythology that elevates 3

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the thing could have started as 369

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then a newer generation had to fight tooth and nail about the functionality of 360 over 369

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the old guard never gave in because "society might collapse!"

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eventually the old guard died off

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and 369 died out with them

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up comes the swanky new 360 generation

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and that's that

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end of story

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or end of chapter

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I got a million stories

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but think about

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number and math had to have beginnings

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those beginning are in ideas like 1, 2 and 3

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so if you are going to found a science

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it's probably going to begin in simple ideas like those

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2 comes from some very simple ideas

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like here and there

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that's a good start to get to 2

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me & not me

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or me and -me

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everything that is not me

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that's a good start for getting the idea of 2

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that's another topic

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don't get me yapping on that

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I'll yap yer ear right off

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i got my yappin' stick

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anybod be messin wif me i yap em upside the gibside

rancid sage
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What's the difference between soul and spirit?

fallow mesa
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that's not the point

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any division of thought could have led to math

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but that's another thread

scenic onyx
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@compact barn

fallow mesa
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that actually was meant to go into the 1 + 1 channel

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but there's some overlap now

fallow mesa
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here's anoter tidbit. The 12 signs of the zodiac link modern astronomy to it's supersticious path on the way to becoming a science. Of course 360 lends itself to a division of 12.

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Now, wouldn't it serve well, if they had chose a bas 12 system?

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since numbers are just symbols for the ideas the represent

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why not use the 12 signs of the zodiac as numbers which represent the corresponding ideas

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Those 12 numbers would then look like this:

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Aries ♈︎
Taurus ♉︎
Gemini ♊︎
Cancer ♋︎
Leo ♌︎
Virgo ♍︎
Libra ♎︎
Scorpio ♏︎
Sagittarius ♐︎
Capricorn ♑︎
Aquarius ♒︎
Pisces ♓︎

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now are these in the correct order as to their appearance in the night sky?

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yes they are

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The we can designate Aries ♈︎ as 1

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Taurus ♉︎ as 2

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Gemini ♊︎ as 3 etc

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in this system ♈︎ + ♉︎ = ♊︎

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and ♊︎ is the first triangular number

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you ony need to have you Secret Decoder Book handy and all is well

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but the really tricky part will be the base 12

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let's see how our whiz kids do at this

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but seriously I just want to remind you that astronomy has it's roots in astrology and math has it's roots in numerology

obtuse pond
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Jeez

devout stirrup
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3b1b explained it too in a video

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i forgor which

earnest linden
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I imagine this has been mentioned at some point, but a related question is "why are there 60 seconds/minutes in a minute/hour?"

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(or 24h in a day, for that matter)

modern frost
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base 60

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in base 60 360 is 60

fallow mesa
fallow mesa
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I did an examination of the harmonic innards of 300

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it will be interesting to do the same with some other numbers

modern frost
fallow mesa
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of course, 360

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but also 144 because someone mentioned it

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666

modern frost
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Base 12²

fallow mesa
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other numbers that can be divied by 7

fallow mesa
modern frost
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No

fallow mesa
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I'd also like to look at the astrology that existed prior to the advent of astronomy

fallow mesa
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60 in base 60 is 60 and 60 in base 60 is 10

modern frost
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What

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360 in base 60 is 60

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60 in base 60 is 10

fallow mesa
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why not begin the system by plotting out 12 areas of the sky according to the zodiac

modern frost
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Wha the fu-

fallow mesa
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as a matter of fact, isn't that what happened?

modern frost
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Idk what the zodiac is

devout stirrup
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how does base 60 work?

fallow mesa
modern frost
devout stirrup
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0-9, A-Z, a-z what else

fallow mesa
devout stirrup
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oh wait no

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thats enough

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im dumb

fallow mesa
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60 in base 60 is 10
tat's different

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ok i got it

modern frost
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I don't think they used the Latin lexicon

fallow mesa
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it's nice to have a few people here who speak math

modern frost
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I'm still a high schooler my maths is a little basic

fallow mesa
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this would be interesting to look into

modern frost
fallow mesa
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because I can see no reason (because of the strological roots of astronomy) that they wouldn't divide the sky by the divisions of the zodiac

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(which it is obvious that they did)

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and also adopt the siggns of the zodiac forf their base numerals

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those signs would serve well as numbers

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they are a bit elaborate though

modern frost
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I believe it was because the relevant civilisation(s) used base 60, a number system which favours the numbers, 12, 24 & 36

fallow mesa
fallow mesa
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maybe because of base 60?

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is that what you are saying?

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that would make sense

modern frost
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Base 60 obviously favours the number 60, which would explain why there are 60" in 1' and 60' in an hour

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It also makes 24 hours/day convenient

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As well as 30 days/month funnily enough

fallow mesa
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yes

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what about the harmonic intervals in 360?

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Aries ♈︎
Taurus ♉︎
Gemini ♊︎
Cancer ♋︎
Leo ♌︎
Virgo ♍︎
Libra ♎︎
Scorpio ♏︎
Sagittarius ♐︎
Capricorn ♑︎
Aquarius ♒︎
Pisces ♓︎

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These are only too elaborate for notation

modern frost
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Uhh wut are "harmonistic intervals"?

fallow mesa
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otherwise they would serve just as well as any other symbols

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harmonic

fallow mesa
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it's chock fulla goodies

modern frost
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My knowledge says "harmony" = works together and "interval" = gap

modern frost
fallow mesa
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War & Peace is what I'm writing here

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The DEcline and Fall of the Roman Empire

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The Complete Works of J. S. Bach

modern frost
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I swear everyone I ask thinks about the Roman empire once a week

fallow mesa
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an EPIC!

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really? only once?

modern frost
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Yeah

fallow mesa
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they don't give the romans due

modern frost
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It's kind of crazy tho

fallow mesa
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render to caesar the things that are caesar’s

modern frost
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Imagine building an empire that everyone living thousands of years in the future thinks about every week

devout stirrup
fallow mesa
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Greece, Rome, Babylon, Britian, USA

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there are lots more empires

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Inca

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Mayan

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Aztec

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all important

devout stirrup
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indus

fallow mesa
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and what is the greatest empire of all time?

modern frost
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German

fallow mesa
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Hindu

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NOPE

modern frost
devout stirrup
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i dont think there is one

fallow mesa
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It's the Math Empire

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Math is the empire that we serve

devout stirrup
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there are faults in all of them

modern frost
fallow mesa
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MATH

modern frost
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Less than a century ago...

devout stirrup
modern frost
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Mathematics doesn't need an empire

fallow mesa
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more or less

modern frost
modern frost
fallow mesa
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how is it that 10 played an important role in seagesimal?

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sexagesimal

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10 looks more prominant in these figures

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10 is in a more simplified from than any multiple of 6 on this chart

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10 has it's own special form

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after 10 first appears on the chart, it serves as a prefix for the following numbers

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the system looks decimal to me

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after 20 first appears (a double 10) it goes on to serve as a prefix for the next numbers

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Likewise for all multiples of 10

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The 59 digits of the Babylonian number system used in ancient Mesopotamia. Although it is a base 60 system, it has a sub-base of 10, making the numbers fairly easy to interpret without extensive cuneiform experience.

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Then it is not so in the cuniform experience?

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because it should not appear so

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it should appear that muliples of 60 or 6 are most prominent

fallow mesa
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since we can fit 6 equilateral triangles inside a circle this makes for a number of convenient divisions

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like the diameter can be can be calculated along with the semi-circle

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the clock gets it's divisions from the sundial

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the sundial uses a circle

silent sedge
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bc in 1 line it is 180 degrees so 180 + 180 = 360 so 1 circle is 360

fallow mesa
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you are using your premise as the conclusion of your logic

static kiteBOT
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fallow mesa
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S. Silvia, “Sexagesimal, also known as base 60 or sexagenary, is a numeral system with sixty as its base”. 2023. Quora. https://qr.ae/prE6uG.

fallow mesa
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"The Sumerian sexagesimal system used ten as a sub-base. The following table indicates that the vertical wedge (V) represents 1 and the horizontal one (<) 10. It is decimal until it reaches 59. The Sumerian used a decimal system around 3500 BC and then their system evolved into the sexagesimal."

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This is what I said when I began on this channel. Sexagesimal and decimal met as two cultures came into contact with each other. Ten is a sub-base. It was decimal until it evolved into the base 60.

fallow mesa
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So what do those who have supplied us with the information that the sexagesimal system is base 60 have to say? The system is decimal until 59.

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No problem. I thought it was base 6.

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I was surprised to find any number higher than 5 or 6 in this system.

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https://en.wikipedia.org/wiki/Plimpton_322

Plimpton 322

Plimpton 322 is a Babylonian clay tablet, notable as containing an example of Babylonian mathematics. It has number 322 in the G.A. Plimpton Collection at Columbia University. This tablet, believed to have been written around 1800 BC, has a table of four columns and 15 rows of numbers in the cuneiform script of the period.
This table lists two o...

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This table lists two of the three numbers in what are now called Pythagorean triples, i.e., integers a, b, and c satisfying a2 + b2 = c2. From a modern perspective, a method for constructing such triples is a significant early achievement, known long before the Greek and Indian mathematicians discovered solutions to this problem. At the same time, one should recall the tablet's author was a scribe, rather than a professional mathematician; it has been suggested that one of his goals may have been to produce examples for school problems.

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Does 360 lend itself to the production of Pythagorean triples?

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How could you answer this question?

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1/2 the diameter is 90

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64 72 90? I think that is a Pythagorean triple

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but can we get these numbers from the division of 360?

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it doesn't look like it

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The lines could be drawn as perpendiculars to the radius

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360/72=5 this looks good

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90 is given

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but 360/64 gives 5.625

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hmmm

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that's not bad

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we only need to raise all of these numbers up

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5625 72000 90000

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that should be a Pythagorean triple

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but that's no great feat

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any circle must contain a Pythagorean triple

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but maybe it's 5625 7200 9000?

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that looks better

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9000 is the hypotenuse

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sq of 9000 = 81,000,000

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sq on 7200 = 51,840,000

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sq on 5625 = 31,640,625

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NOPE

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doesn't work

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the sq on 7200 + sq on 5625 ≠ sq on 9000

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well, I know there's a triple in there because it's a circle

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how do you get this triple out of 360 is what I want to know

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if it's possible

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3 4 5 is a triple

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these can divide 360

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what can I do next?

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they divide 180 and 90

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90:5 :: ?:4 :: ?:3

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90:5 :: 72:4 :: 54:3

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is this correct?

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sq on 5400 = 29,160,000

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Yes, we can place a Pythagorean triple on the radius in 360 from the division of 360

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because 29,160,000 + 51,840,000 = 81,000,000

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we can cancel the last 3 digits for 29,160 + 51,840 = 81,000

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or 2916 + 5184 = 8100

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this requires the expansion of the radius to the square on 90 or 8100

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the Pythagorean triple consists in 3 perpendiculars on the radius

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these are parallel lines

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they can be reassembled to form a right angle in the quadrant

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I might scan Ptolemy and Copernicus to see if they use these numbers

devout stirrup
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oh my

obtuse pond
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jesus rock

fallow mesa
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or does the triple fit into the whole semi circle?

fallow mesa
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oh + my - oh = my

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but really the triples can be gotten with any circle regardless of the divsion of the circumference

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i was just wondering what it would look like in 360

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it should be noted that in actual astonomical calculations the numbers are multiplied up into the 100's of thousnads

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the diameter or radius is multiplied

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Ima gonna dig up some of these calculations

compact barn
fallow mesa
winter glade
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$\theta=l/r$

woven reefBOT
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Duke of Gloucestershire

1149746621190508594.png
winter glade
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Perhaps this is how you will get the result

fallow mesa
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I can't believe that you people managed to rack up 2300 messages on this topic!

hoary dirge
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I heard that the year sistem used to have 360 days, so that's why someone decided that the circle is 360 degree

We can't prove it because is a kind of axiom, the rest of angles are given by starting assuming a circle is 360 degree

However, 360 is just an arbritary number, but it's efficient because it can be divided by 2, 3, 4, 5, 6, 8, 9, 10, 12, etc

In formal terms, the real angle of a circumference is 2.pi

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Sorry for my English I don't speak it

pallid siren
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OH MY GOD

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2000 MESSAGES

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THERE IS SOMETHING WRONG WITH YALL

modern frost
pallid siren
fallow mesa
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I think I posted at least once.

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the question is how many did YOU post which contained math?

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at least a few of my posts contained some maths.

dense grove
fallow mesa
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Ok

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Let's take a break

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10 minutes

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get yerself a cup of coffee

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here's a song to refresh your spirits

fallow mesa
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Where were we on this topic? I was looking at the intervals that can be generated from a given number.

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So I took a day or two to examine the insides of 300. I was also interested in compraing these numbers to the internal anatomy of the number 360 and maybe a few others like 666 and 144, on the supposition that the number had to be able to generate certain harmonic frequencies.

dense grove
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because quator of circles angle is 90

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total angle is 360 and circle has 2 halfs

proof.png
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so first half like circle is 180

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and so

pallid siren
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cause

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there

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are 360 degrees

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doone

fallow mesa
dense grove
dense grove
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Take my poll: Do you believe the universe is designed?#1203441419344289793 message

silent sedge
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\

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#\

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static kiteBOT
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fading nebula
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L

carmine shard
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among us

last wedge
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It wouldnt be nice for n-gons for n larger than like

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9

rancid sage
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proof: there are 360° in a circle ◼

dense grove
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Lmfao very thorough explanation though

fallow mesa
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Here is a list of harmonic intervals I worked out using 360 as the tonic.

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***P5
360 3
240 2

P4
360 4
270 3

M3
360 5
288 4

m3
360 6
300 5

360 8
315 7

m2
360 9
320 8

M6
360 5
216 3

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There may be many others that can be worked out but these are the principal intervals that make the scale

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and I think we have always been looking for a unified theory

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so 360 would have been suited for a unified theory of geometry, arithmetic, and harmonics.

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This is meant to be an addition to what others have said here and in no way negates those theories

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It is complimentary information

fallow mesa
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360
180
90
45

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That outlines three whole octaves

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and there are many other intervals that can be extracted from 360

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these are just a few of the most important

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the list of octaves is in a 2:1 relation

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almost every relation listed was a superparticular

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I may have missed some

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then there are the superpartients

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with 360, you get a wide range of harmonic intervals using only whole numbers

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Now depending on how you divide the Greek curriculum

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you have anywhere from 3 to 5 sciences that they were seeking to unify

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geometry, arithmetic, harmonics and astronomy

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there may be another

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we know that they wrote a lot on harmonics

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but the treatises are only mentioned

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most of them were lost

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a few things survive

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but this is also an interesting subject and deserves a new topic

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which I may post in the coming weeks

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the point now was to mention it and clearly state the math

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and show the relation of harmonics with astronomy, geometry and arithmetic

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via the 360 degree circle

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360 had to be useful for the whole curriculum

fallow mesa
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i AGRee with you AGReeing with me that math is a language

carmine shard
modern frost
fallow mesa
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5040

fallow mesa
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#1266361767072895007 message

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Don't forget that science in it's earliest stages was rules by mysticism like astrology, numerology, alchemy etc.

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36 is the first number that is a potential triagonal, rectangle and square.

fallow mesa
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360 can be achieved from 36 either by multiplying by the decimal 10 or the triagonal 10

short grotto
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eh?

dense grove
# short grotto eh?

@fallow mesa has the potential to write a book, out of 2500 (approx.) messages 2000 messages are his

short grotto
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lol

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to measure anything you need a unit
now that smallest unit could be anything..

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it depends on the discoverer
i mean circle could have 370 degrees, or 180 degrees etc etc if 'degree' measure was diff

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like if a second was a different measure i day wouldnt have 24 hours

dense grove
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u mean like our ancestors randomly gave the number 360 as it was easy to divide

short grotto
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so can we ask why are there 24 hours a day?

short grotto
dense grove
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so its like 1m is 1m

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or 20 dollars is 20 dollars

short grotto
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like for example the 'atomic mass units'

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to define it they divided carbons's atomic mass into 12

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similarly there might be definition of each measure

fallow mesa
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the unit is arbitrary. Descartes was the first to acknowledge this.

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That is like about 2500 years after the history of math began

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then descartes defines the unit as arbitrary

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that is amazing

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2500 years before that idea was documented

dense grove
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another interesting thing (units of time and things related to circle)
Earth's rotation as unit of time (24 hrs and 3600s in 1hr)
Days in a month and year, all are related to the factors of 360

@fallow mesa what do u think about it?

fallow mesa
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well, it is probably cultural

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i mean 360 does divide

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so it's not cultural

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but you can not, even though they tried, fit the cycle of a year into 360

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but it is close enough to have been used in the early attempts to produce a consistent calendar

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IDK what do you think?

dense grove
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this is just my assumption

fallow mesa
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yeah

dense grove
fallow mesa
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in rome

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they added

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we are talking babaylonian

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it's necessary to consider their whole number theory

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and the sexagesimal system

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there is a lort to consider

dense grove
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12hrs in half a day and 12 hr in month
60 seconds a minuite and 60 min an hour
(360 if revolution was a circle) days and 360 degree

i don't think it is a mere co-incidence

fallow mesa
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also the great interest in harmonics

short grotto
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and amu =(1/12) mass of C12 isotope
lol

dense grove
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yeah

fallow mesa
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i don't think there is a lot more we can do with this topic without studying their math systems

dense grove
fallow mesa
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we could look more at harmonic intervals using 6, 60 or 360 as a tonic

dense grove
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mass spectrometer thingy

short grotto
dense grove
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@fallow mesa gotta go for now, we will discuss later