The non-existent, unseen, curve, you want to be real
No, the very real curve you are so desperately and pathetically trying to pretend isn't real.
The very real curve which causes the horizon, something you still refuse to explain on a FE.
Horizons are perfectly flat, straight lines across the surface
You have already admitted that is pure BS.
Why repeat the same lie?
You have admitted the horizon is a circle.
That means it is not a straight line.
When we look at that surface, it appears to be rising, and is ENTIRELY flat
No, it doesn't.
Again, the fact there is a horizon, rather than it continuing to appear to rise shows it isn't entirely flat.
The fact that objects disappear beyond the horizon shows it isn't entirely flat.
There is nothing at all to indicate it is flat.
If you want to continually spout the same BS that it looks flat, clearly explain how.
Just what aspect of the view do you think makes it look flat, and just how do you think this would look for a round object like Earth?
What we see is a flat surface, appearing to rise due to perspective, and the horizon is it's vanishing point.
That is what we would see if Earth was actually flat.
Instead, what we see is a round surface, initially appearing to rise due to perspective, before the effects of curvature become more significant, causing it to appear to sink and hide behind the closer portions of the surface, creating the horizon.
If Earth was flat, it would continue to rise, with no horizon.
We also know the horizon is not the vanishing point.
The vanishing point is infinitely far away, while the horizon is a finite distance away.
We can even draw in parallel lines (parallel in reality, not the image) showing how they meet at the vanishing point which is not the horizon. You were provided with such an image before:
So it is quite clear that the horizon is not the vanishing point. It is not caused purely by perspective.
Instead, the horizon is caused by the curvature of Earth.
when all the evidence shows it is FLAT, from every viewpoint, in all directions of it.
What evidence?
So far, all the available evidence either can't tell, or clearly shows it is round.
Why don't you provide any evidence that shows it is flat?
Is it because you know there is none so you just need to repeatedly claim that the evidence shows it is flat?
If horizons were 'curved', we'd SEE it curving constantly
And we do, as a circle that continues to curves around us, at the same angle of dip all around.
Again, just how do you think it should appear?
Making up a phony 'curve' that doesn't even exist, cannot be seen, anywhere, doesn't explain why objects vanish beyond horizons.
Again, I will stick to the real curve, which does exist, which can be seen, and which does explain why objects vanish beyond the horizons.
PERSPECTIVE explains it
No, it doesn't.
We have been over this repeatedly.
You keep asserting the same BS, that perspective magically explains it, while refusing to ever provide an explanation of how.
You even fled from a trivial question which exposes your BS.
For objects below your eye level, for a hypothetical flat surface, perspective will make them appear higher.
This is simply a fact of how your vision works.
You can express the angular position (or "apparent height"), as a function of the distance to the object, and its height relative to your eyes.
a=arctan(h/d).
As the object gets further away, the size of that angle shrinks, so it appears higher.
This always continues. It never magically stops and reverses direction.
So you can consider the ground at 5 km away. (The distance to the horizon in reality for an observer with height of ~ 2 m).
This will be at some angular position or apparent height.
Now consider the ground 10 km away.
For this hypothetical flat surface, it MUST appear higher. That means the view to it cannot be obstructed by the ground at 5 km away.
If you consider an object sitting above that surface at a distance of 10 km, then it still must appear higher. That means the view to it cannot be obstructed by the ground at 5 km away.
And with this you can pick any 2 arbitrary distances.
The nearer ground cannot obstruct the view to the more distant object.
This shows that the horizon, and objects being obscured by the horizon CANNOT be explained by perspective alone.
In order to obstruct the view, you need the more distant ground to appear at an equal or lower apparent height.
And this would require it to be physically lower (noting that that does not mean a lower elevation for a RE, as this "lower" using cartesian coordinates based upon the observer). And this isn't just any amount lower; it needs to be sufficiently lower such that after accounting for perspective making it appear higher it is still appearing at the same height or lower.
e.g. if the ground is 2 m below your eye level at 5 km, then the ground at 10 km would need to be 4 m or more below your eye level to allow the ground at 5 km to obstruct the view.
This can also easily be shown graphically:
For a FE, the ground always continues to appear to rise, never creating a horizon, and never obstructing the view.
But for a RE, the curvature makes the ground lower, and eventually that becomes the dominant effect (rather than perspective) making the ground appear lower and giving a horizon.
So as has been explained to you repeatedly, a FE cannot explain the horizon, nor how objects disappear behind the horizon. Conversely, a RE does explain both.
This means the mere existence of the horizon is quite good evidence that Earth is round. The fact that objects disappear behind it is more evidence that Earth is round.
If you want to disagree, you need to clearly explain how perspective would make an object 2 m below you at 10 km distance appear lower than an object 2 m below you at 5 km distance.
The physical evidence shows it is a flat surface, all measurements show it is a flat surface
You keep spouting this BS, but you can provide nothing to justify it.
What physical evidence shows it as flat?
What measurements show it is flat?
So far, all I have found either quite clearly shows it is round (like the mere existence of the horizon, the measured angle of dip to the horizon, the change in the angle of dip and distance to the horizon with altitude, the fact objects are obscured by the horizon, photos from space, measurements of the apparent position of celestial objects, and so on); or they are unable to tell the difference (like using a ruler to measure the drop over 1 m).
I am yet to find a single thing which indicates Earth is flat rather than round, and you are yet to provide a single example.
it's nonsense to claim there's a curved surface, when it's the very OPPOSITE of it, in reality.
You mean if it was the opposite of reality.
In reality, there is a curved surface. This means it is nonsense to claim it is flat in its entirety.
Saying a curve is there, when there's NONE at all, never seen, never measured, is competely absurd.
But saying a curve is there, when there quite clearly is a curve, which is repeatedly seen and measured, is completely sane.
But look across a horizon, and show me where a curve appears over it, the curve that makes ships drop down and vanish from all view....
The curve you are looking for is from the observer to the horizon.
Get me a picture of a basketball and show me the curve that makes objects behind the ball vanish from view.