SECTION C
Factors From Finite Areas to Finite Areas
C-10: Rectangles having a common edge and forming an arbitrary angle; one rectangle infinitely long.
Reference: Feingold (1966); Hamilton and Morgan; Camaraza-Medina, Hernandez-Guerrero, and Luviano-Ortiz, 2022
Definitions: A = a/b
Tabular Results:
F1-2 A/F 30º 45º 60º 120º 135º 150º 0.1 0.900022 0.804838 0.690483 0.211510 0.122143 0.055287 0.2 0.872918 0.767740 0.648105 0.188917 0.108283 0.048753 0.4 0.825360 0.706295 0.581494 0.158270 0.089870 0.040198 0.6 0.783499 0.655351 0.529168 0.137405 0.077570 0.034557 1.0 0.711717 0.573951 0.450407 0.110046 0.061699 0.027359 2.0 0.579571 0.441004 0.332686 0.075612 0.042077 0.018565 4.0 0.426592 0.307875 0.225049 0.048538 0.026872 0.011815 6.0 0.341612 0.240643 0.173501 0.036590 0.020212 0.008874 10.0 0.249219 0.171450 0.121970 0.025162 0.013868 0.006079 20.0 0.154976 0.104189 0.073151 0.014760 0.008117 0.003553 90º 0.02 0.482773 0.05 0.464222 0.10 0.439467 0.20 0.400918 0.40 0.345351 0.60 0.305299 1.00 0.250000 2.00 0.176107 4.00 0.115047 6.00 0.087378 10.00 0.060533 20.00 0.035778