/sci/ - Science & Math » Thread #14270948

32KiB, 771x603, math qustion triangle.png

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HOW WOULD ONE CALCULATE THE LENGTH OF THIS CURVE?

Anonymous Mon 28 Feb 22:49:50 2022 No.14270948 View Reply Original Report

Quoted By: >>14270966 >>14270982 >>14270984 >>14271002 >>14271006 >>14271181 >>14271472 >>14271529 >>14271551 >>14271730 >>14272725 >>14276397 >>14276413

What is the formula for finding the length of this curve?

Anonymous

Anonymous Mon 28 Feb 2022 22:55:39 No.14270955 Report

Quoted By: >>14270986 >>14270995 >>14271002 >>14273070

There’s no way to really be sure because you’re retarded. If I were to make an assumption, you could find one fourth the circumference of a circle with diameter 6 to find the answer. But it still depends on what that curve really is, which is not actually defined.

Anonymous

Anonymous Mon 28 Feb 2022 22:58:28 No.14270959 Report

Quoted By:

You could complete the square. Then, providing this curve is a part of a circle...

Anonymous

Anonymous Mon 28 Feb 2022 23:03:59 No.14270966 Report

Quoted By: >>14270973

>>14270948
Rough pi times 3, or maybe 6-7 centimeters with my mouse on it's current sensitivity.

Anonymous

Anonymous Mon 28 Feb 2022 23:05:00 No.14270973 Report

Quoted By: >>14273070

>>14270966
Pi/2*

Anonymous

Anonymous Mon 28 Feb 2022 23:08:30 No.14270982 Report

Quoted By: >>14270995 >>14271002 >>14273070

>>14270948
I gotta agree with the fpbp.
You're retarded, anon.

Anonymous

Anonymous Mon 28 Feb 2022 23:09:43 No.14270984 Report

Quoted By:

>>14270948
with a infinitesimally small ruler

Anonymous

Anonymous Mon 28 Feb 2022 23:10:26 No.14270986 Report

Quoted By:

>>14270955
Don't confuse the retard.

Anonymous

View Same Google iqdb SauceNAO mathproblem 2.png, 33KiB, 937x601

Anonymous Mon 28 Feb 2022 23:13:37 No.14270995 Report

Quoted By: >>14271000 >>14271016 >>14271532 >>14272744 >>14274729

>>14270955
>>14270982
Yes I know how to do it using the square method but that only works if the sides are equal in length. Not every curve makes a perfect circle. I'm more asking about how to find the distance using the lengths of the sides. Is that possible?

For example this triangle would have side lengths 3, 4, and 5. The curve has to be greater than 5 but less than 7. What is the formula for this calculation?

Anonymous

Anonymous Mon 28 Feb 2022 23:15:26 No.14271000 Report

Quoted By: >>14271007 >>14273070 >>14273111

>>14270995
fucking retard, it depends on the curve.

Anonymous

Anonymous Mon 28 Feb 2022 23:16:08 No.14271002 Report

Quoted By:

>>14270948
Homework threads go in /wsr/

>>14270955
>>14270982
/sci/ intellect in full display right here. Please tell me you're not going for a STEM degree. You're not cut out for it.

Anonymous

Anonymous Mon 28 Feb 2022 23:18:11 No.14271006 Report

Quoted By:

>>14270948
https://owlcation.com/stem/Right-Spherical-Triangles

Anonymous

Anonymous Mon 28 Feb 2022 23:18:39 No.14271007 Report

Quoted By: >>14271013 >>14271025

>>14271000
>hurr durr the length of the curve depends on the curve
Stupid faggot stfu if you have nothing to contribute

Anonymous

Anonymous Mon 28 Feb 2022 23:22:00 No.14271013 Report

Quoted By: >>14271751

>>14271007
There curve is undefined, and therefore by definition has no formula.

Anonymous

Anonymous Mon 28 Feb 2022 23:22:47 No.14271016 Report

Quoted By:

>>14270995
Imagine several circles of different size. Try attaching your angle to them. Can it be done? Would the length of the curve differ depending on the circle?

Anonymous

Anonymous Mon 28 Feb 2022 23:26:54 No.14271025 Report

Quoted By: >>14271036

>>14271007
>hurr durr how do i calculate the length of an unspecified curve?
kys retard

Anonymous

Anonymous Mon 28 Feb 2022 23:29:59 No.14271036 Report

Quoted By: >>14271040

>>14271025
Retard, what is the formula for the curve?

Anonymous

Anonymous Mon 28 Feb 2022 23:30:39 No.14271040 Report

Quoted By: >>14271043

>>14271036
you tell me.

Anonymous

Anonymous Mon 28 Feb 2022 23:31:43 No.14271043 Report

Quoted By: >>14271047

>>14271040
I am not op, I don't know.

Anonymous

Anonymous Mon 28 Feb 2022 23:33:08 No.14271047 Report

Quoted By: >>14271064

>>14271043
exactly. you cannot compute the arc length of the curve without the formula for the curve. OP has failed to specify the formula for the curve, so it cannot be computed.

Anonymous

Anonymous Mon 28 Feb 2022 23:37:56 No.14271064 Report

Quoted By: >>14271075 >>14271076 >>14271538 >>14272107

>>14271047
Is it not possible to backwards engineer the formula for the curve? How would a curve ever be measured if you have to know what the curve is before you can measure the curve?

Anonymous

Anonymous Mon 28 Feb 2022 23:40:15 No.14271075 Report

Quoted By:

>>14271064
>Is it not possible to backwards engineer the formula for the curve?
no
>How would a curve ever be measured if you have to know what the curve is before you can measure the curve?
a flexible ruler

Anonymous

Anonymous Mon 28 Feb 2022 23:40:48 No.14271076 Report

Quoted By: >>14271152

>>14271064
...
there is an infinite number of possible curves with different length

Anonymous

Anonymous Mon 28 Feb 2022 23:50:37 No.14271103 Report

Quoted By: >>14271447

Count the pixels

Anonymous

Anonymous Tue 01 Mar 2022 00:18:09 No.14271152 Report

Quoted By:

>>14271076
3?2 < l < 1.5Pi

Anonymous

Anonymous Tue 01 Mar 2022 00:38:44 No.14271181 Report

Quoted By:

>>14270948
it's between sqrt(2)*3 and 6,op. thats as good as you'll ever get without actually just using a ruler or giving a specification.

Anonymous

Anonymous Tue 01 Mar 2022 03:21:47 No.14271447 Report

Quoted By:

>>14271103
>Count the pixels
But it is not a curve, it is muscle tremor recording and belongs to bio

Anonymous

Anonymous Tue 01 Mar 2022 03:38:17 No.14271472 Report

Quoted By:

>>14270948
4 pi radians?

Anonymous

Anonymous Tue 01 Mar 2022 04:20:04 No.14271529 Report

Quoted By:

>>14270948
Take a piece of string, trace the curve with it, then straighten it out and measure with a ruler

Anonymous

Anonymous Tue 01 Mar 2022 04:23:55 No.14271532 Report

Quoted By:

>>14270995
>Is that possible?
no retard. it can be an infinite number of different lengths depending on what exact curve that is.

Anonymous

Anonymous Tue 01 Mar 2022 04:27:21 No.14271538 Report

Quoted By:

>>14271064
>How would a curve ever be measured
by measuring the location points on the curve
by measuring the derivative of points on the curve
how dumb are you? take calculus teen

Anonymous

Anonymous Tue 01 Mar 2022 04:45:18 No.14271551 Report

Quoted By:

>>14270948
theres infinite possible curves for that situation. you need to know something about the curve, like if its part of a function curve, a circle or something like that.

then just integrate from 0 to 3 of sqrt(1 + (dy/dx)^2)

Anonymous

Anonymous Tue 01 Mar 2022 06:25:02 No.14271670 Report

Quoted By: >>14271679 >>14272871 >>14273070

$\int_a^b \sqrt{1+(\frac{dy}{dx})^2} dx$

Anonymous

Anonymous Tue 01 Mar 2022 06:32:01 No.14271679 Report

Quoted By: >>14271743

>>14271670
Big if true

Anonymous

Anonymous Tue 01 Mar 2022 07:11:31 No.14271730 Report

Quoted By:

>>14270948
Isn't that just a Bezier curve?

Anonymous

Anonymous Tue 01 Mar 2022 07:21:30 No.14271743 Report

Quoted By: >>14273070 >>14273111 >>14273308 >>14273317

>>14271679
$ds^2=dx^2+dy^2\\ ds=\sqrt{dx^2+dy^2}\\ ds=dx\sqrt{\left(\frac{dx}{dx}\right)^2+\left(\frac{dy}{dx}\right)^2}\\ ds=dx\sqrt{1+\left(\frac{dy}{dx}\right)^2}\\ s=\int ds$
bretty simple

Anonymous

Anonymous Tue 01 Mar 2022 07:26:23 No.14271751 Report

Quoted By: >>14271755

>>14271013
So we should approximate given curve using regression analysis

Anonymous

Anonymous Tue 01 Mar 2022 07:28:26 No.14271755 Report

Quoted By:

>>14271751
how? we know nothing about it other than boundary conditions

Anonymous

Anonymous Tue 01 Mar 2022 13:19:06 No.14272107 Report

Quoted By:

>>14271064
>Is it not possible to backwards engineer the formula for the curve?
The absolute state of /sci/

Anonymous

View Same Google iqdb SauceNAO .png, 9KiB, 516x460

Anonymous Tue 01 Mar 2022 15:18:49 No.14272267 Report

Quoted By: >>14272271

What is the average length of all possible curves?

Anonymous

Anonymous Tue 01 Mar 2022 15:20:38 No.14272271 Report

Quoted By: >>14272275 >>14272449

>>14272267
wrong. red curve is bounded by y > 0 and x > 0. as such, the average of all curve lengths is actually infinite.

Anonymous

Anonymous Tue 01 Mar 2022 15:23:44 No.14272275 Report

Quoted By: >>14272287 >>14272288

>>14272271
Assume that a larger area contains more curves than a smaller area.

Anonymous

Anonymous Tue 01 Mar 2022 15:30:29 No.14272287 Report

Quoted By:

>>14272275
...still infinite

Anonymous

Anonymous Tue 01 Mar 2022 15:30:44 No.14272288 Report

Quoted By:

>>14272275
what did he mean by this

Anonymous

Anonymous Tue 01 Mar 2022 17:04:55 No.14272449 Report

Quoted By: >>14272461 >>14272718

>>14272271
alright you little shit
assuming all possible surjective continous curves in the area of the square [(0,0),(3,3)] that pass by (0,3) and (3,0), what is the average length of all said curves.

Anonymous

Anonymous Tue 01 Mar 2022 17:08:48 No.14272461 Report

Quoted By: >>14272933

>>14272449
the average is unbounded

Anonymous

Anonymous Tue 01 Mar 2022 18:51:43 No.14272718 Report

Quoted By: >>14272815

>>14272449
By symmetry it's the straight line.

anonymous

anonymous Tue 01 Mar 2022 18:54:41 No.14272725 Report

Quoted By:

>>14270948
a^2 +b^2 = c^2

Anonymous

Anonymous Tue 01 Mar 2022 19:08:11 No.14272744 Report

Quoted By:

>>14270995
You are basically asking to compute a curve from its average rate of change, which is clearly impossible

Anonymous

Anonymous Tue 01 Mar 2022 19:45:58 No.14272795 Report

Quoted By: >>14272844

If we assume that the curve is a part of a circle, then the average curve would be almost 3?2.

Anonymous

Anonymous Tue 01 Mar 2022 19:54:31 No.14272815 Report

Quoted By: >>14272821

>>14272718
>the average length is the absolute minimum
?????????????????????????????????????????????????????????

Anonymous

Anonymous Tue 01 Mar 2022 19:55:36 No.14272821 Report

Quoted By: >>14272839

>>14272815
It is. The average is a a straight line, and a straight line is always the shortest route

Anonymous

Anonymous Tue 01 Mar 2022 20:05:40 No.14272839 Report

Quoted By: >>14272867

>>14272821
>the average of an unbounded summation is the absolute minimum among all its terms
I need to know what the fuck did you snort before making those replies

Anonymous

Anonymous Tue 01 Mar 2022 20:08:22 No.14272844 Report

Quoted By:

>>14272795
Why assume the curve is a circular arc?

https://en.wikipedia.org/wiki/B-spline

Anonymous

Anonymous Tue 01 Mar 2022 20:19:22 No.14272867 Report

Quoted By: >>14272911 >>14272925

>>14272839
It's the lowest length but it's the average line because the values below it and values above it cancel out

Anonymous

Anonymous Tue 01 Mar 2022 20:23:26 No.14272871 Report

Quoted By: >>14272919

>>14271670
>all of /sci/ filtered by fucking calculus 2
it’s over

Anonymous

Anonymous Tue 01 Mar 2022 20:42:36 No.14272911 Report

Quoted By:

>>14272867
>length

Anonymous

Anonymous Tue 01 Mar 2022 20:46:29 No.14272919 Report

Quoted By: >>14274740

>>14272871
>the infinite curves are only circular

Anonymous

Anonymous Tue 01 Mar 2022 20:47:47 No.14272925 Report

Quoted By:

>>14272867
Why would they cancel each other if they have the same length?
If you want to find the average length, the shortest line is the only provably wrong answer.

Anonymous

Anonymous Tue 01 Mar 2022 20:53:11 No.14272933 Report

Quoted By: >>14272943

>>14272461
that's correct for the surjective case
what about the bijective case, where the upper bound exists?

Anonymous

Anonymous Tue 01 Mar 2022 20:58:44 No.14272943 Report

Quoted By: >>14273035

>>14272933
There is an infinite number of possible curves for all but the shortest length...

Anonymous

Anonymous Tue 01 Mar 2022 21:39:01 No.14273035 Report

Quoted By:

>>14272943
assuming a constant function density for all infinite curves, the average length is sqrt(5/2)*x for square of length x, in the above case ~4.7434

Anonymous

Anonymous Tue 01 Mar 2022 21:49:57 No.14273070 Report

Quoted By: >>14273111

>>14270955
>>14270982
>>14270973
>>14271000
Retards

>>14271670
>>14271743
Wow, someone with an IQ above 110.

Anonymous

Anonymous Tue 01 Mar 2022 22:03:42 No.14273111 Report

Quoted By:

>>14273070
both of these are me though. >>14271000 >>14271743 the posts don't contradict each other dumbass LOL

Anonymous

Anonymous Tue 01 Mar 2022 22:35:47 No.14273187 Report

Quoted By:

Is that a brachistochrone?

Anonymous

Anonymous Tue 01 Mar 2022 23:03:24 No.14273263 Report

Quoted By:

reading this makes me wanna blow my cock and balls off

Anonymous

Anonymous Tue 01 Mar 2022 23:22:56 No.14273308 Report

Quoted By:

>>14271743

general solutions are for plebs

X = 3
Y = 3

Solve for XY

Anonymous

View Same Google iqdb SauceNAO gloac.png, 45KiB, 878x697

Anonymous Tue 01 Mar 2022 23:28:34 No.14273317 Report

Quoted By: >>14273324 >>14274438

>>14271743
I feel like a tit for not immediately thinking of this

Anonymous

Anonymous Tue 01 Mar 2022 23:32:26 No.14273324 Report

Quoted By:

>>14273317
The vector form of this is much nicer

Anonymous

Anonymous Wed 02 Mar 2022 13:16:14 No.14274346 Report

Quoted By: >>14274438

I'm fucking retarded, but wouldn't the answer be to find the integral of the derivative at an interval?

Anonymous

Anonymous Wed 02 Mar 2022 14:22:55 No.14274438 Report

Quoted By:

>>14274346
Yeah, that's exactly what's happening here.

>>14273317

Anonymous

Anonymous Wed 02 Mar 2022 16:53:07 No.14274729 Report

Quoted By:

>>14270995
Lower bound is $\sqrt{a^2+b^2}$ and upper bound is $a + b$ . I hope this isn't what you were trying to ask otherwise you are an actual retard

Anonymous

Anonymous Wed 02 Mar 2022 16:56:26 No.14274740 Report

Quoted By:

>>14272919
I don’t know what you mean
If you’re the guy I replied to, I’m agreeing with you and lamenting that it took this long for someone to remind this board of the arc length equation
If you’re not, then the equation works for all differentiable functions of the form f(x) and has nothing to do with circles

Anonymous

Anonymous Wed 02 Mar 2022 19:25:08 No.14275024 Report

Quoted By:

it's just $\frac{3}{2}\pi$

Anonymous

Anonymous Thu 03 Mar 2022 10:59:30 No.14276365 Report

Quoted By:

You'll learn how to find arc lengths in due time, anon.

anonymous

anonymous Thu 03 Mar 2022 11:37:50 No.14276397 Report

Quoted By:

>>14270948
you'd have to count the pixels bro

Anonymous

Anonymous Thu 03 Mar 2022 11:47:26 No.14276413 Report

Quoted By:

>>14270948
String and a ruler. SUCK ON REAL LIFE, BIIIITCH.

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