By analogy to standard chess, it is assumed that a piece that moves multiple squares can capture an opposing piece only by "finishing" its move on the opposing piece's square. In other words, a piece can capture only once per turn. Burroughs was explaining his chess rules for an Earth audience familiar with standard chess. He deliberately stated that the Princess and the Flier may jump over a piece that is in their path. The only reasonable interpretation is that the Chief, Dwar, Padwar, and Warrior are "blocked" by pieces in their path (as are the queen, rook, and bishop in standard chess). It is unreasonable to suppose that Burroughs could have meant that the Flier jumps over intervening pieces while the Chief captures all intervening pieces, as this would be so different from standard chess that he would have stated this, had it been his intention.