85 



% [3.3] 



(6) The corresponding moment of inertia coefficients 



JX^I [34] 



(7) Higher degree moments 



j'J^'dl [35] 



(8) Position of the point of inflection of the curve. Only condi- 

 tions (3) and (4) have been used in the present investigation; the latter has 

 been considered indirectly by varying the degree of the basic form and the 

 former by using special polynomials. 



Various examples of basic families are reproduced in Figures 15 to 

 17, in addition some curves offend -^^ are shovm in Figure 38. Introducing 

 explicitly the parameters ^ and t, the equation of a family can be put into 

 the form 



77 = f (I) +^f,U) + tf^(^) 



(n^n^n^; 0; 0) + <z>(nin2n3; 1; 0) + t(nin2ng; 0; 1) [36] 



fj^(0 = (n^ngng; 1; 0) complies with the conditions 



d^ 



= t, = 



f=i 



fgd) = (n^n^ng; 0; 1) with the conditions 



JefplOl 



[36a: 



^^ l.= i 



= t^ = 1 



[36b] 



IofaU)d? = 



