| Author | Babylonian Clay Tablet is the Earliest Trig Table |
Runemage
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|  Posted 25-08-2017 at 09:56
Here's a taster, the rest's on the link below
"UNSW Sydney scientists have discovered the purpose of a famous 3700-year old Babylonian clay tablet, revealing it is the world's oldest and most accurate trigonometric table, possibly used by ancient mathematical scribes to calculate how to construct palaces and temples and build canals.
The new research shows the Babylonians, not the Greeks, were the first to study trigonometry - the study of triangles - and reveals an ancient mathematical sophistication that had been hidden until now."
snip
"Our research reveals that Plimpton 322 describes the shapes of right-angle triangles using a novel kind of trigonometry based on ratios, not angles and circles. It is a fascinating mathematical work that demonstrates undoubted genius."
https://www.eurekalert.org/pub_releases/2017-08/uons-mmo082117.php
Paper here http://www.sciencedirect.com/science/article/pii/S0315086017300691
Thanks to Mark Greener NEReaders
[ This message was edited by: Runemage on 2017-08-25 10:30 ]
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DavidK
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| Posted 04-09-2017 at 20:12
Thanks for posting this Rune
http://www.math.ubc.ca/~cass/courses/m446-03/pl322/pl322.html
i would like to point out to David Morgan ( alias Jacquetta Hawkes) he of too many options
they did do decimals
It is so simple
the yard is 6 x 6 = 36 x 10 =360 x 7 =2520
1/2520 is the Bartosz equivalent, this is a decimal by another name
look at lines 6 and 11
especially line 11 as this is also base 32 or 32x 2
100 / 1.5625 = 64
this is the imperial system base 32 and Thom base 32
it is very very complicated
see 100 ( hidden everywhere) see the ancients
pre megalithic ? Ask Cerrig.
[ This message was edited by: DavidK on 2017-09-04 20:44 ]
[ This message was edited by: DavidK on 2017-09-04 20:45 ]
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davidmorgan
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| Posted 04-09-2017 at 22:34
Did I hear my name mentioned?
I'm not interested, DavidK. I believe the ancient Britons were innumerate probably as much as you believe they weren't.
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DavidK
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| Posted 05-09-2017 at 08:30
So did I till I read Knight and Butler and was prepared to evaluate the evidence against different sources.
The no option proof is the Wilkinson Thom line recently discovered by Bill.
I once held a tractor up to my two year old son and asked him what it was.
He said a bus.
I explained what a tractor was and what it did and asked him what it was again.
He said it was a bus.
My wife asked me what i was doing .
I said i was playing with a bus.
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drolaf
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| Posted 05-09-2017 at 23:50
yes, cheers muchly for posting this, Rune, just the reference i needed, and a good paper.
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DavidK
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| Posted 06-09-2017 at 22:28
David Morgan said
'Did I hear my name mentioned?
I'm not interested, DavidK. I believe the ancient Britons were innumerate probably as much as you believe they weren't.'
When i was struggling with ecilpses you put me on to Fred Espanek, I am eternally grateful to you for this reference.
i am not trying to proselyitise you David 9 or whatever Rune said
but 4.6666r x Pi = 14.666r difference 10
this happened a long time ago on the portal
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DavidK
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| Posted 06-09-2017 at 22:54
dave k wrote
Since Bill Wilkinson has flagged Peter's unit in his latest post on 'Old Straight Tracks' and introduced 'Pi' the Aubrey circle calculation can be included here.
2.666 x 1.1785 = Pi
285.6 x Pi = 897.5456 / 1.1785 = 761.6 / 56 = 13.6 Thom's unit.
1.1785 x 56 = 65.996 exactly 0.004 from 66.
So both sides of the eclipse system are engaged 66 x 2 = 132 and 136, with another version of Pi in the mix.
Also of interest is the 285.6 splits to 51 x 5.6 and 51 x 12 = 612
612/360 = 1.7 base 17 so 360 works in both the imperial and Thom.
The base units of the two systems are 11 and 17
11 x 360 = 3960 or 3/4 of a mile
17 x 360 = 6120 or 3/4 of 1000 megalithic inches
Both these units appear in the Aubrey one in the diameter 612 and 396 in the circumference
----------------
[ This message was edited by: DavidK on 2017-09-09 14:46 ]
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jonm
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| Posted 07-09-2017 at 20:13
Makes a lot of sense to use sexagesimal for large numbers:
Take one hand, count to five
Lift one finger on other hand & close first hand
Repeat until last (25). Then count the last 5 (30)
Close all hands and turn the second hand over
Repeat for another 30: Count is to 60. Very easy to work with.
Jon
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DavidK
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| Posted 10-09-2017 at 21:38
Line 6 is 129600
divide by 1.5 = 86400
/24 = 3600
/60 = 60
its about time
Thom got 25 at avebury
Plimton line 6
129600
line 5
5184
line 6 / line 5
= 25
[ This message was edited by: DavidK on 2017-09-10 21:55 ]
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DavidK
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| Posted 13-09-2017 at 12:24
Eureka alert
the 15 Plimpton elements can be found in Thom's books.
I have emailed the australian professors and am waitng for a response.
probably won't get a reply
To
daniel.mansfield@unsw.edu.au
11 Sep at 12:10 PM
hi Daniel
I have been working on your Plimpton paper because there may be an underlying numerical system exhibited by the 15 lines.
i have translated the lines and have a suggestion to put to you that can be very simply and very comprehensively supported by my outputs.
The solution also removes the red from your analysis.
i am retired, live in the UK, and my hobby is the understanding of ancient metrology. i have written several books on the subject.
Your solution is the most remarkable piece of work and i offer my hearty congratulations on your discoveries, and the excellent explanations you have given.
yours
David Kenworthy
not a wind up
[ This message was edited by: DavidK on 2017-09-13 12:27 ]
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DavidK
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| Posted 26-09-2017 at 11:38
There are 1.32 babylonian barleycorns of 0.27777 centimetres in a metric english barleycorn of 0.36666 metric inches.
Metric inch is 2.5 x 100/99 centimetres.
This makes deciphering Plimpton 322 a lot easier than it otherwise would be.
The Babylonian system of measure is derived from the polar circumference of the Earth at 40000000 metres.
Their barleycorn is the metre divided by 360
Ours is 5280 / 360 and then by 4 then by 120 to get 0.3666r
[ This message was edited by: DavidK on 2017-09-26 11:41 ]
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DavidK
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| Posted 28-09-2017 at 00:18
Plimpton line 8 resolves to 921600
divide by 360 = 2560
divide by 10 = 256
by 2 = 128
by 2 = 64
by 2 = 32
by 2 = 16
by 2 = 8
by 2 = 4
by 2 = 2
I wonder if Jack had ancient relatives from the far East?
The English barleycorn is 63360 / 172800 = 0.36666r
This is 63360 / 12 x 12 x 12 x 100
the babylonian barlecorn is
63360 / 12 x 12 x 12 x 100 x 1 x 1.1 x 1.2
this is 63360 / 228096 = 0.2777777r one BB babylonian barlecorn which is 100/360
BBlimey!!
[ This message was edited by: DavidK on 2017-09-28 00:34 ]
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