Message from @Frolic
Discord ID: 569252414830411800
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
like i said im not good with math so
here i have something favorited that shows the equation
im looking at circle on a paper and every inch of the circle their is an equal amount of curvature
then measure teh vertical distance from the line to the circle, and different locations along the top-right quadrant of the circle
see the pattern if follows?
i dont need to draw tangent lines i can easily see their is an equal amount of curve in every inch of this circle
that is h=R[1-cos(d/R)]
dunno what you mean by 'equal amount of curvature'
we're trying to see how much curve there is as a function of distance
every inch i go their is an equal amount of curvature
which way are you giong an inch, along the circle?
an 8 cut pizza cur correctly all the crusts are the same length and have an equal amount of curvature
cut corretly