The resistance property of a high speed passenger craft (: "DOL-PIN HO" designed by the author in 1972) is investigated as follows; -. The Resistance property of the craft is determined by savitsky′s method and blount-Fox′s method. The theoretical results are also compared with the full scale data. The comparison reveals that the result when using blount/fox′s method are in much closer agreement with the full scale data than savitsky′s. -. The effects of ship speed on the positions of the center of pressure and of the longitudinal center of gravity (L.C.G.) are investigated. The investigation shows that the position of L.C.G. of the craft is almost constant although the ship speed is changed. -. The effect of transom flap on the Resistance property of the craft is studied using savitsky/brown′s method. From the study it is found that the resistance of the craft is decreased and hence speed gain (about 3% of the service speed) can be obtained, when using transom flap for the craft.

This work presents a method for the determination of the safety factor of a slope based on the theory of the calculus of variations. The method allows for the determination of the critical sliding line (The one giving the minimum safety factor) without the necessity of guessing about its shape, which leads to a considerable economy of time and effort. Furthermore it gives the actual safety factor of the slape and consequently a more complete knowledge of the safety of the slope is obtained.