Avoiding conflicts between neighboring hemispheres

To avoid this kind of conflict, we will prescribe a policy of universal appeasement. If the annulus claimed by overlaps that claimed by another hemisphere, we instruct to renounce its claim to any territory beyond the line tangent to and perpendicular to the line joining the center of to the center of the base of the competing hemisphere. (See Figure 13.) A similar rule applies if the annulus claimed by intersects or .