OB = 1
y-length is measured along the straight line OB,
relative to O.
The y-length segments, from B to infinity, are connected to form a continuous curve. The values for h-length are represented along the y axis, and the c-length along the x axis. The equation for this curve, called a y-length exponential, is
x = ArcCos e-hlength
The arc length of a y-length exponential curve is the sum of the
y-length segments along the straight line BA, relative to O. This
curve has two asymptotes, which are
x = π/2 and x = -π/2
in the diagram:
OB = 1
BA = 7
y-length of BA, relative to O, is 2.644120
h-length of BA, relative to O, is 1.956011
in the y-length exponential curve the value at x is
= ArcCos e-1.956011
= ArcCos .141421
= 1.428899