Note longitude/expressed as degrees
xc,yc: center of map area (longitude,lattitude):
xc: yc:

x,y: coordinates as (longitude,lattitude) on map area
x: y:
extremes: averaged to xc,yc
xmax: ymax:

xmin: ymin:
all fields below are read only -- those above can be changed //
















Set e to 0
 
 
Adjusted coordinates of x,y:     xadj:, yadj:
a: artificial equator declination = (1-sin(x - xc+90))yc
b: Δlongitude = cos(yc)(x - xc)
  • cos(yc):
  • x - xc:
c:Δlongitude along artificial equator = √(a2+c2)
d: Δlatitude = y-yc
e: = d>=a: (d-a);(-d-a)
f sign on X displacement; g sign on Y displacement
h = √(d2+c2)
i = arctan(d/c)
j = arccos( (h2+e2-b2)/ (2he))
  • h2+e2-b2
  • 2he
  • (h2+e2-b2)/ (2he)
k: = i+j
l = sin(k)e
m = cos(k)e
n = c-m