It increases with the sectional area of the rope, and is inversely proportional to the radius of the curve into which it is bent.
No one of the sectional leaders commanded general confidence, and personal rivalries were of the bitterest kind.
For these densities, the deviation of the water face from the vertical in the figure of least sectional area is, however, so trifling that, so far as this consideration is concerned, it may be neglected.
Both were involved in the agitation in1858-1859for the annexation of the South Platte to Kansas (q.v.), which gained considerable strength; annexation promising to the former much earlier statehood than continued union with the backward region of the North Platte, and to northern Kansas also promising earlier statehood, and an advantage in the sectional struggle with southern Kansas.