Message from @jeremy

Discord ID: 569256217680281600


2019-04-20 20:14:50 UTC  

only valid over a certain distance

2019-04-20 20:15:02 UTC  

It's just a simpler formula

2019-04-20 20:15:08 UTC  

Surveyors use it

2019-04-20 20:15:53 UTC  

literally i hired a surveyor to come survey my property he was a freemason so is my dentist

2019-04-20 20:16:33 UTC  

im not saying its a big conspiracy lol

2019-04-20 20:16:42 UTC  

just they were free masons thats all

2019-04-20 20:17:56 UTC  

So do you understand the equations now

2019-04-20 20:18:03 UTC  

no

2019-04-20 20:18:09 UTC  

I'll summarize

2019-04-20 20:18:29 UTC  

h is amount of curve, d is distance away from where you start

2019-04-20 20:18:37 UTC  

h=8*d^2 is one equation

2019-04-20 20:18:49 UTC  

h=R[1-cos(d/R)] is another equation

2019-04-20 20:18:53 UTC  

the 2nd is more accurate

2019-04-20 20:19:00 UTC  

the first is good for several hundred miles

2019-04-20 20:19:06 UTC  

the first is a parabola, the 2nd is a circl

2019-04-20 20:19:09 UTC  

the 2nd is more accurate

2019-04-20 20:19:22 UTC  

the first is close, for small values of d

2019-04-20 20:20:28 UTC  

si the second on exponential

2019-04-20 20:20:28 UTC  

What is the significance of the first being parabolic?

2019-04-20 20:20:47 UTC  

a parabola is not a circle, thus it can't be used to accurately represent a circle

2019-04-20 20:20:58 UTC  

ok is the second formula exponential

2019-04-20 20:20:59 UTC  

Why not?

2019-04-20 20:21:01 UTC  

@jeremy the 2nd is a trig function, not exponential

2019-04-20 20:21:35 UTC  

@AstralSentient well it is accurate 'enough' over the short distances, but it doesn't match a circle, it's a different shape

2019-04-20 20:21:54 UTC  

no more than a zigzag represents a straight line

2019-04-20 20:24:18 UTC  

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?

2019-04-20 20:24:53 UTC  

both of what you said are teh same thing

2019-04-20 20:25:30 UTC  

No they aren't, one is a visual example, another is a coordinate plane graph

2019-04-20 20:25:48 UTC  

Both the same

2019-04-20 20:25:59 UTC  

8d^2 is a parabola

2019-04-20 20:26:10 UTC  

and only matches a circle for a limited range of d

2019-04-20 20:27:29 UTC  

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.

2019-04-20 20:27:52 UTC  

we're only concerned with the latter height

2019-04-20 20:27:59 UTC  

that's what these equations calculate

2019-04-20 20:28:08 UTC  

and since they're different equations, they give slightly different shapes

2019-04-20 20:28:13 UTC  

one a parabola, one a circle

2019-04-20 20:28:33 UTC  

the one that is a circle is better to use when considering a spherical object like the earth

2019-04-20 20:29:00 UTC  

🤔

2019-04-20 20:29:41 UTC  

Sure, on a graph, with the parabola modeling the drop on a sphere from a tangent line

2019-04-20 20:29:59 UTC  

exactly

2019-04-20 20:30:14 UTC  

the parabola doesn't match the circle, eventually they diverge