8 



8030 Groups of points on an algebraic curve ; genus of 



curves ; principle of correspondence. {See also 



7620, 7660.) 

 8040 Groups of curves and points on an algebraic surface ; 



genus of surfaces. (See also 7640.) 

 5050 Application of transcendental functions to algebraic 



curves. (See also 4040, 4060.) 

 8060 Application of transcendental functions to algebraic 



surfaces. (See also 4040, 4060.) 

 8070 Enumerative geometiy. (See also 7230, 7260.) 

 -8080 Connexes, complexes, congruences; higher elements 



of space. 

 8090 Systems (linear, and not linear) of curves and surfaces. 

 8100 Algebraic configurations in hyperspace. 



Infinitesimal Geometry; applications of DiflFerential 

 and Integral Calculus to Geometry. 



8400 General. 



8410 Principles of infinitesimal geometry. 



8420 Kinematic geometry. 



8430 Curvature of plane curves ; other applications of the 



differential calculus to plane curves. 

 8440 Curvature of skew curves ; other applications of the 



differential calculus to skew curves. 

 8450 Curvature of surfaces ; curvilinear co-ordinates, and 



other applications of the differential calculus to 



surfaces. (See also 5220.) 

 8460 Rectification and quadrature of curves; areas and 



volumes of surfaces. 

 8470 Special transcendental curves. 

 8480 Special transcendental surfaces. 

 8490 Hypergeometric configurations and higher elements 



of hyperspace. 



Difierential Geometry ; applications of Differential 

 Equations to Geometry. 



8800 General. 



8810 Determination of curves on surfaces. 



8820 Minimal sm-faces. 



8830 Surfaces determined by relations of curvature and by 



other differential properties. 

 8840 Conformal and other representations of surfaces on 



others (cross reference to Mathematical Geography, 



J 70-95). 

 8850 Deformation of surfaces. 

 8860 Orthogonal and isothermic surfaces. 

 8870 Hypergeometric configurations and higher elements 



of h}'' per space. 



