Frink System Solver

(leave blank for all)

Solution:

r === 1/2 d
r === moonradius scale
r === 1/2 c pi-1
r === 1/2 pi-1 res-1 width
r === 1/2 pi-1 pixelsize-1 width
moonradius === 1/2 d scale-1
moonradius === r scale-1
moonradius === 1/2 c pi-1 scale-1
moonradius === 1/2 pi-1 res-1 scale-1 width
moonradius === 1/2 pi-1 pixelsize-1 scale-1 width
width === c res
width === d pi res
width === 2 pi r res
width === 2 moonradius pi res scale
width === c pixelsize
pixelsize === res
pixelsize === c-1 width
pixelsize === d-1 pi-1 width
pixelsize === 1/2 pi-1 r-1 width
pixelsize === 1/2 moonradius-1 pi-1 scale-1 width
scale === 1/2 d moonradius-1
scale === moonradius-1 r
scale === 1/2 c moonradius-1 pi-1
scale === 1/2 moonradius-1 pi-1 res-1 width
scale === 1/2 moonradius-1 pi-1 pixelsize-1 width
pi === c d-1
pi === d-1 res-1 width
pi === d-1 pixelsize-1 width
pi === 1/2 c r-1
pi === 1/2 c moonradius-1 scale-1
d === 2 r
d === 2 moonradius scale
d === c pi-1
d === pi-1 res-1 width
d === pi-1 pixelsize-1 width
res === pixelsize
res === c-1 width
res === d-1 pi-1 width
res === 1/2 pi-1 r-1 width
res === 1/2 moonradius-1 pi-1 scale-1 width
c === res-1 width
c === d pi
c === pixelsize-1 width
c === 2 pi r
c === 2 moonradius pi scale

Evaluated result:

SymSymbolic?Value
c =
d =
moonradius =
pi =
pixelsize =
r =
res =
scale =
width =

(Optional) Show result in units:



r = 1/2 d
  = 1/2 d

r = moonradius scale
  = moonradius scale

r = 1/2 c pi-1
  = 0.15915494309189533579 c

r = 1/2 pi-1 res-1 width
  = 229.18311805232928354 pixels (10000 m-1 pixels)-1
  = 0.022918311805232928354 m

r = 1/2 pi-1 pixelsize-1 width
  = 229.18311805232928354 pixels pixelsize-1

moonradius = 1/2 d scale-1
           = 1/2 d scale-1

moonradius = r scale-1
           = r scale-1

moonradius = 1/2 c pi-1 scale-1
           = 0.15915494309189533579 c scale-1

moonradius = 1/2 pi-1 res-1 scale-1 width
           = 229.18311805232928354 pixels (10000 m-1 pixels)-1 scale-1
           = 0.022918311805232928354 m scale-1

moonradius = 1/2 pi-1 pixelsize-1 scale-1 width
           = 229.18311805232928354 pixels pixelsize-1 scale-1

width = c res
      = 10000 m-1 c pixels

width = d pi res
      = 31415.92653589793238 m-1 d pixels

width = 2 pi r res
      = 62831.85307179586476 m-1 pixels r

width = 2 moonradius pi res scale
      = 62831.85307179586476 m-1 moonradius pixels scale

width = c pixelsize
      = c pixelsize

pixelsize = res
          = 10000 m-1 pixels

pixelsize = c-1 width
          = 1440 c-1 pixels

pixelsize = d-1 pi-1 width
          = 458.36623610465856708 d-1 pixels

pixelsize = 1/2 pi-1 r-1 width
          = 229.18311805232928354 pixels r-1

pixelsize = 1/2 moonradius-1 pi-1 scale-1 width
          = 229.18311805232928354 moonradius-1 pixels scale-1

scale = 1/2 d moonradius-1
      = 1/2 d moonradius-1

scale = moonradius-1 r
      = moonradius-1 r

scale = 1/2 c moonradius-1 pi-1
      = 0.15915494309189533579 c moonradius-1

scale = 1/2 moonradius-1 pi-1 res-1 width
      = 229.18311805232928354 moonradius-1 pixels (10000 m-1 pixels)-1
      = 0.022918311805232928354 m moonradius-1

scale = 1/2 moonradius-1 pi-1 pixelsize-1 width
      = 229.18311805232928354 moonradius-1 pixels pixelsize-1

pi = c d-1
   = c d-1

pi = d-1 res-1 width
   = 1440 d-1 pixels (10000 m-1 pixels)-1
   = 18/125 m d-1

pi = d-1 pixelsize-1 width
   = 1440 d-1 pixels pixelsize-1

pi = 1/2 c r-1
   = 1/2 c r-1

pi = 1/2 c moonradius-1 scale-1
   = 1/2 c moonradius-1 scale-1

d = 2 r
  = 2 r

d = 2 moonradius scale
  = 2 moonradius scale

d = c pi-1
  = 0.31830988618379067158 c

d = pi-1 res-1 width
  = 458.36623610465856708 pixels (10000 m-1 pixels)-1
  = 0.045836623610465856708 m

d = pi-1 pixelsize-1 width
  = 458.36623610465856708 pixels pixelsize-1

res = pixelsize
    = pixelsize

res = c-1 width
    = 1440 c-1 pixels

res = d-1 pi-1 width
    = 458.36623610465856708 d-1 pixels

res = 1/2 pi-1 r-1 width
    = 229.18311805232928354 pixels r-1

res = 1/2 moonradius-1 pi-1 scale-1 width
    = 229.18311805232928354 moonradius-1 pixels scale-1

c = res-1 width
  = 1440 pixels (10000 m-1 pixels)-1
  = 18/125 m

c = d pi
  = 3.141592653589793238 d

c = pixelsize-1 width
  = 1440 pixels pixelsize-1

c = 2 pi r
  = 6.283185307179586476 r

c = 2 moonradius pi scale
  = 6.283185307179586476 moonradius scale


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