Message from @Frolic
Discord ID: 569257952326975499
the 2nd is more accurate
the first is good for several hundred miles
the first is a parabola, the 2nd is a circl
the 2nd is more accurate
the first is close, for small values of d
si the second on exponential
What is the significance of the first being parabolic?
a parabola is not a circle, thus it can't be used to accurately represent a circle
ok is the second formula exponential
Why not?
@AstralSentient well it is accurate 'enough' over the short distances, but it doesn't match a circle, it's a different shape
no more than a zigzag represents a straight line
I'm not quite sure of the context. You mean parabola on a graph with horizontal distance and vertical drop as your inputs or just that the tangent line from the curve giving h= 8d^2 makes a parabola?
both of what you said are teh same thing
No they aren't, one is a visual example, another is a coordinate plane graph
Both the same
8d^2 is a parabola
and only matches a circle for a limited range of d
They aren't the same. I think that is your mistake here. Assuming they are the same.
Another important thing to consider is that height and distance can be different on a sphere. Think of height relative to the center and straight down to the curve from a tangent line.
that's what these equations calculate
and since they're different equations, they give slightly different shapes
one a parabola, one a circle
the one that is a circle is better to use when considering a spherical object like the earth
🤔
Sure, on a graph, with the parabola modeling the drop on a sphere from a tangent line
exactly
the parabola doesn't match the circle, eventually they diverge
uncharted what do u think
he seems unsure also
It matching a circle on the graph is irrelevant.
SO is there a debate to the shape of the earth?
b/c we have accuratly mapped it out, and that shows a sphere
About what?
Flight paths use this information to go from place to place
idk u posted the puzzling emoji
er thinking whatever that emoji is
Yes I know I posted that
what u thinkin about