Can Pythagoras theorem be proven wrong?

[raj]

HERE it is:

MY sincere apology for the very bad quality of my video.

https://youtu.be/a1pELBcWZgU

NOW let me have your COMMENTS.

FLETCHER, I followed your advice to the letter.

Raj

[ME]

Proof that a=10

[Fletcher]

Mornin Raj ..

I reviewed your 'At a Glance' Proof drawing and video this morning. IMO you may have jumped the gun and it may need more investigation and corroboration.

.. There was a reason I included Plato's Meno Slave Problem of Doubling and Halving Squares without Trig etc yesterday ..


Below I use a variation of it for a visual 'At a Glance' Proof of my own that Pythagoras and Euclid were in fact correct that c = sqrt( a^2 + b^2)

See the attached drawing I whipped up this morning. It has a written explanation of the method to find the lengths of a & b etc, but IINM the visual story is compelling enough on its own.

All The Best.

[ME]

The brilliant part is trying to disprove Pythagoras's theorem by using Pythagoras's theorem.
I think Raj needs to sharpen his pencil a bit, or use a smaller fineliner (I personally like the 0.05mm tips)
On A4-grid paper he should be able to draw it at 3:1 scale to get a better view.

[Oystein]

Ok, this is what the Meno is all about.

finding the length of a the 45 degrees line in regards to the full lengt vertical/horisontal line inside a square (or a circle).

This is the same value that give you a force/vector/torque arm og the 45 degrees position of a weight in a wheel.

sin 45 (degrees) = 0,70710678118654752440084436210485

It would mean that "the other side" is : 10 x 0,70710678118654752440084436210485 = 7,0710678118654752440084436210485

In this case
7,0710678118654752440084436210485 ^2 (=50) + 7,0710678118654752440084436210485 ^2 (=50) = 100

10^2 = 100

So the error must be that 7, is inaccurate and should say: 7,0710678118654752440084436210485

Best
ØR

[raj]

Proof a=10:

In the drawing below, we have a 7x7 cms square, with a diagonal as side of a right angle triangle with side a as hypotenius, side b and side c.

USING Pythagors theorem, I had to find length of side a, the hypotenius, and found it to be 9.899 cms.

BY measuremet, side a, hypoyenius = 10 cms,
This proves theorem wrong.

Can you check by measurement, the length of the diagonal of a 7x7 cms square?

Thank you

Raj

[Oystein]

The problem is that you will never have a right angle triangle with two equal sides where the sides are 7,0 7,0 and and 10,0

Why?

Simply (by most basic thought experiment) because a right angled triangle of 7,07.. and 7,07.. have a third side of exactly 10,0..
So, if you then reduce both the sides of 7,07.. down to. 7,0, then the third side can't ever stay 10,0! It will simply be 9,8994949366116653416118210694679

When all sides in a right triangle is whole numbers, it's called a Pythagorean triplet,

The basic triplets are:
3,4,5
5,12,13
8,15,17
7,24,25

Nowhere can 7,7,10 be found. Because it can't be done.

Best
ØR

[raj]

JUST find BY the most accurate measurement existing, the length of the diagonal of 7x7 cms square. And for a moment, forget the theorem.

PROVE me, my measuring is wrong, by referring and trying to understand my very simple drawing.

Raj

[agor95]

Hi Raj

Can you look at scaling up you drawing?

Some rope,pegs and a beach would be useful.

This will help in creating a larger difference between the expected
and found results.

Regards

[Oystein]

JUST find BY the most accurate measurement existing, the length of the diagonal of 7x7 cms square. And for a moment, forget the theorem.

PROVE me, my measuring is wrong, by referring and trying to understand my very simple drawing.

Raj

I have scaled and measured this for many years, also by using Working model 2 D etc. while doing basic research of mechanical approach to PM. This number 0,707 you would have measured, balanced and calculated hundreds of times if working with PM. It represents the basic "problem" with PM.

A weight hanging at 45 degrees to the axle in a wheel, will have a torque ratio: 0,707.... It should be well experienced and known to PM researchers, it will overpower a counterweight at 0,7.

Attached are the basic figure explaining it. It shows the problem and solution in a simple way. IMO the problem is the basic fundament of ancient Masonry and Rosicrucianism and is a basic part of MTs structure.

Best
ØR

[Oystein]

Relating to mechanical force and PM, it should look like this:

Attached

Please don't take this as critique of your work, person or possible discovery. This is just a basic summary and my advice from many many hours and years with work on the very same subject.

Best
Øystein

[ME]

Yeah... hmmm... right... so... huh? ... what?
So when you want to proof Pythagoras wrong. I imagine that you don't agree with his findings?
Thus:

USING Pythagors theorem, we have to find length of side a, the hypotenius.

Sure. ALL THE REST OF US already know what this 'a' should be for a 7-by-7-square, ør we can find out what the square-box-size should be to get a hypotenuse of 10.
For a 7x7 box we find, with the help of Pythagoras that:

• a ≠ 10

Your hypothesis is wrong.
You presented zero proof.

JUST find BY the most accurate measurement existing, the length of the diagonal of 7x7 cms square. And for a moment, forget the theorem.

PROVE me, my measuring is wrong, by referring and trying to understand my very simple drawing.

Raj

We don't have to proof anything raj... we are happy using Pythagoras.

But indeed, your measuring is WRONG. and your drawing is indeed VERY SIMPLE.
I've already redrawn it. Pixel perfect.
Here it is in case you missed it, even with fingerprints.

Raj, while you're at it:
Please check coordinates (8,6) and (9.6, 2.8).
What do you think of coordinates (7.6, 6.5) ?

[raj]

Agor95, thank you for your scaling up my design advice.

In my kitchen floor, I have square tiles layer in straight lines.
I measured a 120 cms square surface and found the diagonal length as 173 cms.

Using Pythagoras theorem, I should get a^2=b^2+c^2
(173)^2=(120)^2+(120)^2
29929=14400+14400
=28800
NOT EQUAL AS THE THEOREM SAYS.

Raj

[Robinhood46]

Had i done that Raj, my first question would have been maybe the "bloke who did the tiling" wasn't very accurate? before questioning Pythagoras.

[johannesbender]

May i just ask how are you guys inserting your images mid way in the replies ?

i could never get that done with bbcode image urls here.

pythogorean theorem applies to pythogorean triangles , that is all i know.