>"spherical" coordinates>cannot use them to describe a standard sphere
>>17004259r = some fucking constant
>>17004259You can depict a symmetrical 3D object in 2 Dimensions for easier math's. >Then you can make a four-sided shape out of straight lines within the circle to do easy geometry. Anons, is this a retarded idea?
>>17004355Instructions unclear.Set r = i
>>17004355r=0
>>17004526smol spheresmear
>>17004259What's the problem?
>>17004259>use sextant, theodolite, and surveying tools for mapping>magically arrive at a dipole sphere without explaining how>spherical triangles have angles equaling above 180 degrees>spherical grids now have squares equaling above 360 degreeslmao its magic. they totally hyjacked AE and cartesian coordinate systems
>>17004259>φ in XY planeThis enrages the mathematician. Seriously, why do physicists feel the need to switch what they're calling the XY-planar angle just because they added a third dimension?
>>17005155>He thinks mathematicians care about coordinates
>>17004585>spherical triangles have angles equaling above 180 degreesTrue>spherical grids now have squares equaling above 360 degreesThe angle sum is still 360°. The reason is because parallels of latitude aren't great circles. If they were then the angle sum would be greater than 360°.
>>17005204>If they were then the angle sum would be greater than 360°.Like this. Now all sides are segments of a great circle and the angle sum is more than 360°. Easy peazy.
>>17004259They're literally used to describe earth you fuckwit.
>>17005219Earth isn't a sphere.
>>17005221Earth isn't a sphere just like you aren't a human. No, I don't expect you to understand.
>>17005221yes it is the ayys carved out the core
>>17005226Spheres don't have random bumps, you stupid fucking nigger.
>>17005384>It's a (((geoid))) you midwit
>>17005424Who are you quoting?Also, you dumb cunt, geoids don't have random bumps either.
>>17005384Kekking my ass off. You don't get the joke. Low IQ.
>>17005534I do. It just wasn't subtle nor well constructed, so I ignored it.
>>17005204there is no measuring being done to create great circles in the first place. thats done by calculation not measurement.same thing applies when you measure latitude and map it on a curved surface, that doesnt come from raw measurements of earthyou cant measure the radius either, because you cant shoot a measuring rod down to the center of earths core.the radius was presupposed after Eratosthenes layed down sticks and shadows outside, earths circumference is gets "measured" by shadow elevation angles (not a measurement, its a calculation) to then "know" what the radius "measurement" is (they never measured a radius)not a single unit of measurement exists that ISNT LINEAR. theres no unit of curved arch lengths, again curves are calculated not measured. inches, feet, meters, miles, kilometers, all are flat and linearSo yes, when you use surveying instruments and tools that physically measure the ground flat, you can only have flat maps.I dont care if you have a longitudinal dipole on a ball, that grid laid out on a ball doesnt have angles, doesnt have squares that equal 360 degrees, spherical excess must be added, then removed if you want to go back to measuring the earth (because youll measure it flat!)If you are completely honest about this you will admit "yes, spherical excess calulations are added then removed"its your religion, because we all know there was never any raw mapping or measuring of earths surface in the case of the globenote in pic related. It requires all straight tangent lines for any of this to work
>muh tangents going off into freespacethe length between 2 tangents on a sphere 3959 miles would have a verticle drop distance of 8 inches per mile squared
>>17005560It was subtle. Hint: there is more than one interpretation. The low IQ and the high IQ. You took the low IQ one. Sadge.
>>17005633By all means, enlighten us on this "high IQ" interpretation that is not a poorly constructed le subhuman joke.
>>17005155>x, y, z>r, \theta>s, \theta, h>\rho, \theta, \phiCause that's the proper counter-clockwise orientation, and theta is always in the middle
>>17006384h should be z
>>17006374NTA, but it's pretty simple to me.>interpretation 1: you're not human/you're a subhumanWRONG!>interpretation 2: you ARE human/you are NOT subhumanthis interpretation (the high iq one) is only noticeable if you acknowledge the earth IS a sphere>hurr durr but it isn't! because yadda yadda yaddathis is failing the breakfast question.he masterfully set you up to view yourself as a subhuman while exposing you as a dimwit. gotta say, i'm impressed.
>>17006562I already told you, spheres don't have random bumps, you retarded, mouthbreathing nigger.
>you can't describe a sphere embedded in 3D space with 2 coordinatesEvery second that you're aware of this should be an existential crisis.
>>17006633Humans don't have autism either. Yet here we are. >Inb4 you fail the breakfast question again
>>17007274anon, it's thanks to EXTREMELY autistic individuals that we have miracle systems like GPSyou have no fucking clue how much thought has gone into such technology
>>17007283No, most breakthroughs are made by neurotypical nerds. If you manage any level of success in your field, any "autism" you suffer is mild at best.
>>17007302shhhh, don't break their fantasy. t. physicist
>>17004355Can't get more standard than that.
>>17005574>theres no unit of curved arch lengths, again curves are calculated not measured. inches, feet, meters, miles, kilometers, all are flat and linearSo it's impossible to measure the circumference of a tree or pole with a tape measure? Or bend sheet metal into a circle? Because that's what you're implying.
>>17009744We're talking about the ground not a tree or pole. Measuring tapes use linear units
>>17004355Now define a sphere not centered at the origin
>>17010487>|x-x0| = rx0 is a fixed vector defining the center of the spherer is a fixed number (the radius)x is a vector (any x satisfying the equation is on the sphere)
>>17007303kek
>>17007302>>17007303>what is Feynnman, Einstein, Dirac, Opennheimer, Neumann, Newton, etc etc etc
>>17014579The most autistic out of that group is arguably Dirac. But none of them were anywhere close to "severely autistic." Hell, Feynman was a notorious womanizer who got off on fucking other people's wives.
>>17010487>Now define a triangle with 4 sides
>>17011329>|x - x0|good luck calculating that in spherical coordinates
>>17015197What's your point? The question was "define", not "write in spherical coordinates". Furthermore, it's not that hard to write it in spherical coordinates.
>>17005384That’s not what causes it to not be a sphere lel the bulging at the equator due to the centrifugal acceleration of the rotation + the gravitational tides from the sun and moon makes the planet slightly egg shaped If I’m remembering correctly and not being a brainlet
>>17010487Let the sphere of radius [math]r[/math] be centered at [math](x_0,y_0,z_0)[/math]. In Cartesian coordinates,[math](x-x_0)^2+(y-y_0)^2+(z-z_0)^2=r^2.[/math]Using spherical coordinates centered at the origin,[math]x=\rho\sin\theta\cos\phi,\qquady=\rho\sin\theta\sin\phi,\qquadz=\rho\cos\theta,[/math]the sphere becomes[math](\rho\sin\theta\cos\phi-x_0)^2+(\rho\sin\theta\sin\phi-y_0)^2+(\rho\cos\theta-z_0)^2=r^2,[/math]or, after expansion,[math]\rho^2-2\rho\left(x_0\sin\theta\cos\phi+y_0\sin\theta\sin\phi+z_0\cos\theta\right)+x_0^2+y_0^2+z_0^2-r^2=0.[/math]Defining the distance from the origin to the sphere center,[math]d=\sqrt{x_0^2+y_0^2+z_0^2},[/math]and letting [math]\gamma[/math] denote the angle between the radial direction and the center direction,[math]\cos\gamma=\hat{\mathbf r}\cdot\hat{\mathbf c},[/math]the equation simplifies to[math]\rho^2-2d\rho\cos\gamma+d^2-r^2=0,[/math]with explicit solution[math]\rho=d\cos\gamma\pm\sqrt{r^2-d^2\sin^2\gamma}.[/math]
>>17014926>Hell, Feynman was a notorious womanizer who got off on fucking other people's wives.He autistically got good at the skill of picking up women, normal men dont do that
>>17015430>herp derp la herp he is so autistic he became a normie!that's not what autism is, retard
>>17015432I don't think you get how retarded this anon is.He's unironically conflating specialization and niche skillsets with autism. He bought into the "autism is my superpower" meme so hard he can't comprehend the fact that becoming exceptionally good at a small handful of things is literally a thing normal people do.
>>17015432no normie slays pussy lmao. Pickup is the most abnormal thing in the society, if somebody admitted to doing it to their work colleagues they would be ostracized and bullied instantly
>>17015488Holy fuck. Did I hit the nail on the head or didIhit the nail on the head?See >>17015471Autists are the last people who would be "slaying pussy" you moron.
>>17015424>needs a plusminus to define a fucking sphereshit system confirmed
>>17015488>NPCs don't have sexyou bet be trolling (poorly), son
>>17015567they have but it's extremely limit, mostly out of their control and with mid tier women>>17015528>>17015471Regular people never become masters of anything, that's a fact. They dabble and become mediocre. I'm also not talking about some rain man level autism, I'm talking about obsessive dedicated laser focused autist who's willing to grind to get better at the couple things they've chosen in life.
>>17015729>I'm talking about obsessive dedicated laser focused autist who's willing to grind to get better at the couple things they've chosen in life.Then you are not talking about autism.
Why do basedentists refuse to concede that math is fake
>>17004355r = i checkmate, atheists
>>17004404r = abs(x)
>>17005574>>17010486I wish I could know the length of this road but it's impossible measure it :(
>>17015758wtf is this real
