The value of the geometric phase observed with two disconnected uniformly wound quarter-turn optical fibers and a linear polarizer between them is quite different from that measured with a uniformly wound half-turn optical fiber, although evolution curves in the propagation vector sphere for the above-mentioned cases are the same. We try to analyze the experimental data by applying the geodesic rule separately to each evolution curve for the two quarter-turn fibers, and the theoretically obtained values are in good agreement with the experimental data.