Quote:
Originally Posted by RiverFenix
I was responding to the question why is the equation drop = miles^2 * 8in and not drop = miles * 8in. Please graph that and tell me how what you did is relevant....
If I recall correctly, you made that equation up. That's why it has a square term. Without pulling the quote, you "explained" that the squared term is necessary in order to make a circle. This is just not the case. That's not the equation for a circle. It's the equation for a parabola. There's no manner of measuring what you could possibly mean that makes it a circle. As I showed in the drawing, vertical drop off measured along a tangent line can be (ie, "is") constant for both a line and a circle.
My drawing explicitly shows why the equation IS drop = miles * constant.
A straightforward formula of "vertical drop off from any given point at a distance x = (distance x) ^ 2 * constant" is not consistent with any geometry.
Without drawing a picture again, consider this:
Me --- 2 miles --- You --- 2 miles --- other person
In your universe, the vertical drop off between me and you should be 2^2 * 8" = 32". Same for you to other person. So, if I combined those, I should get the vertical drop off from me to the other person, since otherwise the universe doesn't make sense, right? So that's 64"
But, if I just checked the vertical drop off from me to the other person, it should be 4^2 * 8" = 128", which is not the same as 64". Is your argument in some way that space is nonlinear, that distances are not additive, or that this is all "perspective"? Or are you satisfied that a circle can have constant drop off, and that the equation for a circle is not the same as the equation for a parabola?