y₂length, x₂length, d-length, & c-length defined

d-length, relative to O, equals the segment d in the diagram

d-length = Sinθ

c-length, relative to O, equals the arc length c in the diagram

c-length = θ

x₂length, relative to O, equals the segment h in the diagram

x₂length = x-length / L

y₂length = y-length - d-length
= y-length - Sinθ

in the diagram:
OB = 1
BA = 2.747477
OA = L = 2.923804

d-length = .939692

c-length = 1.22173

x₂length = (2.923804 - 1) / 2.923804
= .657979

y₂length = 1.735414 - 939692
= .795722