【摘要】 <正> 在论文(Ⅲ)关于射影极小曲面 S 和其一杜慕兰变换(以下简称 D 变换)(?)的Gpdeaux 叙列更多还原

【Abstract】 The present paper is a sequel to a previous one in which we have consi-dered the two rectilinear congruences W associated with a projective minimalsurface S and one of its D-transforms（?）.In the space S₅ there are corres-ponding Laplace sequences （?）（W）and（?）If we construct the second image in S₅ of the osculating linear complex of（W）,that is,the pole P of the hyperplane（?）with respect tothe Klein hyperquadric Q,then the point P must belong to a Laplace sequence（?）（P）where every point is the transform of the preceding along the sense u.In asimilar way we obtain another Laplace sequence（?）where every point is the transform of the preceding along the same sense.It is shown that（P）and（P）can be obtained from the Godeaux sequences（?）（L）and（?）of S and（?）as intersections of joins,namely,（?）（n=1,2,…）.The points（?）and（?）in 85 are the images of two sides of Demoulinquadrilateral of S which intersect each other at the corresponding point of（?）.We denote by（?）and（?）the second focal sheets of the congruences（W）and（W）,so that they are the second D-transforms of S.The Laplace sequence（W）corresponding to the pair（S,（?））is the second transform along the senseν of the Laplace sequence（W）corresponding to the pair（（?）,（?））and theLaplace sequence（?）corresponding to（S,（?））is similarly the second transformalong the sense u of the Laplace sequence（W）corresponding to（（?））.Several remarkable relations between the sequences of Godeaux quadrics（?）and（?）of the surfaces S,（?）and（?）are obtained.For example,Φ_n and（?）touch at four points such that Φ_n and（?）alsotouch at two of them,and Φ_n and（?）at the remaining two points.更多还原