Development of Arch on Cove Surface
Sample Data

Calculation of Lengths: Development of Arch on Cove
Arch r = 3.5       Cove R = 8
Angle θ
(Arch)
x
r × cos θ
y (Calculated)
Development
y (Ellipse)
7W × 7.24507H
zero 3.50000 0.00000 0.00000
10° 3.44683 0.60835 0.62903
20° 3.28892 1.20158 1.23899
30° 3.03109 1.76427 1.81127
40° 2.68116 2.28052 2.32852
50° 2.24976 2.73407 2.77502
60° 1.75000 3.10874 3.13721
70° 1.19707 3.38942 3.40407
80° 0.60777 3.56351 3.56750
90° 0.00000 3.62253 3.62254

Joe Bartok