You may or may not have advance math but to dump it here seems to prove you want to show off your math skills more that proving the earth is flat or round.
Of course he's showing off. LOL.
He starts off by saying "Approximate the equation of the curve. I would use a power series. (Notice: This only holds true for the specific interval of convergence on that specific power series.) My simple power series looks like this [...]"
He's over-complicating all this purely for effect, and should rightfully accept that we're not all mathematically inclined. It's the standard "bullshit baffles brains" concept.
At its simplest, there is no "approximate" equation for the "curve". It's not just any old curve; it's an arc.
And the standard form of the equation for a circle in an x-y cartesian coordinate system, for any circle with centre coordinates (a, b) and radius 'R' is the set of all x,y, points thus: (x - a)
2 + (y - b)
2 = R
2And in closing of course he falls for the old flat earther mistake of saying "This is the ratio of the flat earth's motion
upward" when in fact he hasn't proved in any way that the earth
is experiencing an "upward" motion. In space, astrophysically, there is
NO up or down.
So despite all his alleged knowledge of calculus (which in this scenario is immaterial anyway) his final conclusion is in effect, and embarrassingly for him, nothing more than a
non sequitur.