Also I'm re-reading some of the calculations you showed earlier. If we took your .666 feet per mile figure you would see just 6.66 feet of curve over 10 miles not 66.6

True but the formula requires using calculus to come up with that formula.

If someone does not trust anything they just read about. Like that formula. Well then they dismiss it. Will not believe it is valid.

it shows you the derivation of the formula if you just read what I said

But they will understand what that simple formula that can be used in many useful ways.

the branch of mathematics that deals with the finding and properties of derivatives and integrals of functions, by methods originally based on the summation of infinitesimal differences. The two main types are differential calculus and integral calculus.

what I posted is not calculus

I am not questioning the validity of that formula at all. I just took Calculus so understand how it was invented.

"True but the formula requires using calculus to come up with that formula."

that's not correct

OK explain to me how they came up with it.

I just

pasted

the explanation

we're looping so I'm getting off this debate

when we start looping in debates I just quit

It does not explain why cosine is used. It is just a very basic description of how the formula works. Not how the formula was put together.

It is a message you are expected to believe however it does not explain the math behind it. Not really.

Rubbish, the formula is derived using trigonometry

How many people would not even know what cos means. Or how to use it on a calculator. How many would remember how to use it 20 years after graduation. Almost no one. But they will remember pathragiams theory.

What is "pathragiams"?

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

*sigh*>

I just looked it up and I realize why he's using Pythagoras Theorem

He skipped a few steps in calculating the actual curvature

See B is the radius. A is the distance and c is the radius plus the height of curvature. Far simpler to understand.

It's how we get the 8 inch per mile figure

It's only valid if you are using the tangent

In reality you look down to the horion, that is not the tangent

No simple math will work. All your calculator needs is square root to use this.

It's simpler to use https://www.metabunk.org/curve/

No one should trust that. It is circular argument. You assume the earth is a ball. It shows a ball. If you want to believe the earth is a ball fine. But do not tell a Flat Earther to trust a ball earth site.

Everything in that calculator can be verified with trigonometry

I could care less where the horizon is. That is just a method of deception.

That midpoint. It is used to half the curve.

If you fail to understand that calcultor then I can't do more

Except why determine the midpoint. What it calls the horizon.

I call it the point of confusion.

Call it what you want, I don't care

Well there could be many things between you and what you look at. Hills or valleys. So that confusing midpoint is of no use. All I care about is how far down something should be at the distance I am looking from.

Did this man say we shouldn't use cosine because noone remembers it???