The Tunnel of Samos

01222019, 04:32 PM
Post: #1




The Tunnel of Samos
Don’t know how many of you already know about this, but I find it an amazing engineering and mathematical project constructed way before calculators or even serious mathematics?
Dennis https://fermatslibrary.com/s/thetunnel...newsletter [/font] Denny 

01222019, 08:47 PM
Post: #2




RE: The Tunnel of Samos
(01222019 04:32 PM)Leviset Wrote: Don’t know how many of you already know about this, but I find it an amazing engineering and mathematical project constructed way before calculators or even serious mathematics? A very interesting read Thanks for sharing Cheers, Terje 

01222019, 09:40 PM
Post: #3




RE: The Tunnel of Samos
Since when 1036 meters = 4000 feet?
Greetings, Massimo +×÷ ↔ left is right and right is wrong 

01232019, 02:39 PM
Post: #4




RE: The Tunnel of Samos
Thanks for sharing.
For the conversion feet to meter, maybe the measurement used in the samo island was different from the 302mm average found in ancient Greek sources or ruins. https://en.wikipedia.org/wiki/Foot_(unit) Wikis are great, Contribute :) 

01292019, 01:30 PM
Post: #5




RE: The Tunnel of Samos
It's an interesting article but I'm confused by the bit that suggests determining a rightangle was difficult to do precisely, suggesting the Hero would have used a dioptra.
Surely three straight pieces of wood, length 3, 4 and 5 units, pinned through holes at the ends (the holes being 3, 4, and 5 units apart) would create a rightangle? And if there is too much flex in the thing, then a doublelength base and two triangles would ensure that the right angle was fairly rigid. Or make it bigger. Or both! 

01292019, 06:51 PM
Post: #6




RE: The Tunnel of Samos
well try a bit. I think it is fairly easy to get some inaccuracies that if repeated a couple of times, are no problem, but on long distances may create problems.
Wikis are great, Contribute :) 

02022019, 11:42 PM
Post: #7




RE: The Tunnel of Samos
I think the article mentions that probably not enough mathematics was known to be able in the 6th century BC to tackle the tunnel build, Pythagoras was born in 569BC
Denny 

02032019, 12:38 AM
Post: #8




RE: The Tunnel of Samos
True. I hadn't twigged that Hero's method was proposed so long after the tunnel was built.
It's possible that they used some other method entirely, given that the article says that the tunnel does actually bend a bit in the middle yet, clearly, they managed to make both ends meet. 

02032019, 07:09 PM
Post: #9




RE: The Tunnel of Samos
(02022019 11:42 PM)Leviset Wrote: I think the article mentions that probably not enough mathematics was known to be able in the 6th century BC to tackle the tunnel build, Pythagoras was born in 569BC The pythagorean theorem was somewhat known already. I mean, in the past  but even today  it is most likely that things were rediscovered over and over unless very deep. http://wwwhistory.mcs.stand.ac.uk/Hist...goras.html Wiki has useful pointers. https://en.wikipedia.org/wiki/Pythagorean_theorem Wikis are great, Contribute :) 

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