Pi or Phew??? The Circle Line Ain't Consist of Strainght Lines!!!

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Danang

  • 5605
  • Everything will be "Phew" in its time :')
Re: Pi or Phew??? The Circle Line Ain't Consist of Strainght Lines!!!
« Reply #30 on: April 24, 2024, 09:54:36 PM »
Phew/2 = 1.58578
South Pole Centered FE Map AKA Phew FE Map
Downwards Universal Deceleration.

Phew's Silicon Valley: https://gwebanget.home.blog/

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EarthIsRotund

  • 166
  • Earth is round. Yes.
Re: Pi or Phew??? The Circle Line Ain't Consist of Strainght Lines!!!
« Reply #31 on: April 24, 2024, 10:23:45 PM »
Okay, so what is the value of sin(90) and sin(45)?
I love Mairimashita Iruma Kun

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JackBlack

  • 21745
Re: Pi or Phew??? The Circle Line Ain't Consist of Strainght Lines!!!
« Reply #32 on: April 24, 2024, 11:37:20 PM »
😃 and again, you refuse to respond the challenge of 5 calculation. Should I show it? ~
What challenge?
It will be the same as before.
The math isn't hard.

And again, you don't need to invoke any extra BS of scaling it up. But if you want to go through with all that BS, then using your entirely useless radius of 100 m, and a segment width of 5 degrees, you end up with the lower bound being 8.723877473067 m and the upper bound being 8.7321885817025 m.
And pi ends up being ~8.72664625997165, nicely between them.
It is 0.277 cm longer than the upper bound and 0.554 cm shorter than the lower bound.

Still no problem.

Conversely, your BS ends up with an arc length of 8.81 m, which is greater than the upper bound and clearly wrong.

Again, there is no need to add in the extra height.
The arc length is not going straight along the chord, turning right and then going up.
That is nothing more than an entirely insane upper bound.

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Danang

  • 5605
  • Everything will be "Phew" in its time :')
Jack, what length is it between upper bound and lower bound?
Okay, I answer: 👉 9.51 cm.

The difference between both 8.7s METERS arc and chord equals 0.27 cm AKA 2.7 MILIMETERS. :o That's pretty identical!
The space between both bound are too big for the difference to afford. 👌

Why did you not mention the space length? ;D
South Pole Centered FE Map AKA Phew FE Map
Downwards Universal Deceleration.

Phew's Silicon Valley: https://gwebanget.home.blog/

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Danang

  • 5605
  • Everything will be "Phew" in its time :')
Okay, so what is the value of sin(90) and sin(45)?

Jack...
South Pole Centered FE Map AKA Phew FE Map
Downwards Universal Deceleration.

Phew's Silicon Valley: https://gwebanget.home.blog/

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EarthIsRotund

  • 166
  • Earth is round. Yes.
Okay, so what is the value of sin(90) and sin(45)?

Jack...


And now you can't provide a straight answer because you realise you will contradict yourself eventually
I love Mairimashita Iruma Kun

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JackBlack

  • 21745
Jack, what length is it between upper bound and lower bound?
Okay, I answer: 👉 9.51 cm.
You mean you just spout pure BS.
The difference between upper bound and lower bound is quite easy for everyone to calculate.
8.7321885817025 - 8.723877473067 = 0.00831110863 = 8.3 mm in this case.

Your answer is entirely wrong.

Again, the arc is NOT going along the short path, then jumping out to the difference, then jumping back in.

The difference between both 8.7s METERS arc and chord equals 0.27 cm AKA 2.7 MILIMETERS. :o That's pretty identical!
Again, that is the point.
As you use a smaller and smaller angle the upper and lower bound get closer and closer together, and converge to the true value.

The space between both bound are too big for the difference to afford.
No, it isn't.

That is like saying the diagonal line in a square must be 2 units long, because it is 1 unit for the base, and 1 unit for the height, and that a length of sqrt(2) is too short.
That would be pure BS.

If you want to get even a reasonable approximation from that, what you do instead is use Pythagoras to add them up.

e.g. the short chord is 8.723877473067. So you get half of that, square it, and then add the square of the difference in radii, and then find the square root and double it.
i.e. 2*sqrt((8.723877473067/2)^2 + 0.0951^2) = 8.72595061899.

Nothing like the BS you are getting.

Why did you not mention the space length? ;D
Because it is not needed. You bringing it up is a pathetic, dishonest deflection.
I have an upper limit and a lower limit.
I don't need to use that useless space.

Why do you keep appealing to it while ignoring the upper limit formed from the tangent?
Why don't you try explaining how the arc can be longer than the tangent?