【摘要】 <正> 在论文（Ⅰ）里曾经提到一个射影极小曲面容有这样的二线（?）W,每个是以原曲面和它的一个第二 D 变换曲面为其二焦曲面的.本文的目的在于阐明:在直线空间 S₅里,每个线（?）W 的对应的拉勃拉斯叙列内接于原曲面8和其—D变换曲面（?）的戈德叙列更多还原

【Abstract】 As a suppliment to the result given in a former paper（Ⅲ）we shall heredemonstrate the following theorems:Theorem 1.If the corresponding points of the Godeaux sequences of aprojective minimal surface S and one of its Demoulin transforms（?）be ar-ranged in three rows,（?）then in the space S₅ the join of any two consecutive points of the second rowmust intersect the join of the two consecutive points standing in the same co-lumns of the first or third row,and these points of intersection（?）and（?）are Laplace sequences of the two rectilinear congruences W,each of which hasS and one of the two second D transforms for its focal surfaces.Theorem 2.Suppose that four Demoulin transforms of a projective mi-nimal surface are distinct;they may be divided into two pairs such that in thearrange of Godeaux sequences of each pair（?）the corresponding joins of any two pairs of consecutive points in each rowintersect each other and these points of intersection are Laplace sequencesstated in Theorem 1.Theorem 3.In the arrange（?）the corresponding joins of any two pairs of consecutive points in each row in=tersect each other and these points of intersection are points of the Laplacesequence recently considered by L.Godeaux（1953）.更多还原