u said we have to reposition the line to a but real world scenario we could have people in all spots and dont have to reposition anyone

idk im having doubts about this 8 inches per mile squared thing

@Citizen Z same thing, the text of that image is still wrong

your mind must be making up that you're seeing something that isn't ther

@AstralSentient @jeremy the exact equation for how a circle distances away from a tangent line is R[1-cos(d/R]

But each observer in their own position has their own line. Relative to each observer, 1 mile is 8 inch drop

that is approximately 8*d^2

ok frolic just gave us a different equation for the curvature

8*d^2 is an approximation, tha'ts a parabola

it's close but not exact, exact formula is that of a circle

it's weird taht when flat earhers say "8 inches per mile squared" they can't write the proper equation to describe what they're saying

their words sound like h=8/d^2

ur formula is squared too

dont u have to have an equal amount of curve in each mile though

but what they're trying to say is h=8d^2

What do you mean by "close but not exact"?

compare the two equations, do they give exactly the same result as a function of d?

ur saying their is more curve sometimes in some places if u square it

no i'm saying the equation that flerfers use, is a parabola, not a circle

thus it can't be an exact measure of how much a circle curves away from a tangent line

i dont think the formula should be squared at all

can you write teh formula that you think is accurate?

It works just fine for drop

their is an equal amount of curve in a circle for each unit

equal unit

no there isn't, not away from a tangent line

If it isn't squared, it is a sloped line

as you go further away, the circle gets further away from its tangent linle

go ahead and plot the two eqautions as a function of d, and use R=6371 km

so if u broke a 24k mile circle into 1 mile parts their is an equal amount of curve in each mile correct?

if you redefine your starting point each mile, yes

what if u had a person at each mile and didnt have to redifine ur point

but if you measure from teh same starting point, no, h would be larger for subsequent miles

each would measure teh same amount of curvature over one mile, b/c they're effectively starting at a new point, each mile, drawing a new tangent line

so frolic u are saying 8 iches per mile squared is correct ?

those words don't make sense, maybe if you wrote an equation i could evaluate it. It sounds like you're saying h=8/d^2

if so, then no, that's incorrect

this is why its important to pay attention in math class,

lol

Math has value, even in this simple example, of trying to share an idea

idk ill have to investigate more into this