Schedule of Classification 



8050 Application of transcendental 

 functions to algebraic 

 curves. (See also 4040, 



4060, 7660.) 568 



8060 Application of transcendental 

 functions to algebraic sur- 

 faces. (See also 4040, 4060, 



7650.) 569 



8070 Enumerative geometry. (See 



also 7230, 7260, 7600-7660.) 570 



8075 Special configurations of 



points, lines, planes or 



other elements. Space 



partitioning. (See also 



3620, 6820, 7210, 7610, 



7640.) 573 



Special configurations of 

 points, lines, planes or 

 other elements... 573-575 



Space partitioning 575-576 



8080 Line geometry. Connexes, 

 complexes, congruences ; 

 higher elements of space. 



(See also 7650.) 576 



Line geometry ... 576-577 



Connexes ... ... ... 577 



Complexes 577-580 



Congruences ... 580-582 



Higher elements of space 582 



8090 Systems (linear, and not 

 linear) of curves and 

 surfaces ... ... ... 582 



Systems of curves. (See 



also 7230.) ... 583-585 



Systems of surfaces 585-586 



8100 Algebraic configurations in 



hyperspace ... ... 586 



^-dimensional space 589 



Infinitesimal Geometry ; applications 

 of Differential and Integral Cal- 

 culus to Geometry. 



8400 General 589 



8410 Principles of infinitesimal 



geometry ... ... ... 590 



8420 Kinematic geometry. (See 



also Mechanics 0420.) ... 591 

 Curve of pursuit ... 591 



Cycloids 592 



Displacement ... 592-593 



Z 'cycloids ... ... 593 

 ^oocycloids ... ... 594 



Motion 595-596 



Roulettes 597 



8430 Curvature of plane curves ; 

 other applications of the 

 differential calculus to 

 plane curves. (See also 



7210.) 598 



Curves. (See also 7610, 



7630.) 600-602 



PAGE 



Envelopes ... .,. 602 



Evolutes 602-603 



Pedals 604-605 



Radii of curvature 605-606 



Trajectories ... ... 606 



8440 Curvature of skew curves ; 

 other applications of the 

 differential calculus to skew 

 curves. (See also 7240, 8420. ) 607 



Curvature 607 



Curves 607-608 



8450 Curvature of surfaces ; cur- 

 vilinear coordinates, and 

 other applications of the 

 differential calculus to 

 surfaces. (See also 5220, 

 8810, 8840, 8850.) ... 610 

 Curvature of surfaces 610-616 

 Indicatrix ... 611-612 



Lines of curvature 612-613 



Measure of curvature 613-614 

 Radii of curvature ... 614 

 Surface of centres ... 615 



Surfaces 615-616 



Theorems 616 



Curvilinear coordinates 616-618 

 Other applications of the 

 differential calculus to 

 surfaces ... 618-621 



Surfaces 619-621 



8455 Differential geometry of con- 

 gruences and other applica- 

 tions of the differential cal- 

 culus to elements of space 621 

 8460 Eectification and quadrature 

 of curves ; areas and vol- 

 umes of surfaces. Other 

 applications of the integral 

 calculus to geometry ... 622 



Areas 622-624 



Quadrature . . . 626-62 7 



Rectification ... 627-629 



Volumes ... 629-630 



8470 Special transcendental 



curves. (For cycloids, 

 epicycloids and trochoids 



see 8420.) 631 



Spirals 632 



8480 Special transcendental sur- 

 faces 632 



8490 Hypergeometric configura- 

 tions and higher ele- 

 ments of hyperspace ... 633 



Differential Geometry ; applications of 

 Differential Equations to Geometry. 



8800 General 634 



8810 Determination of curves on 



surfaces ... ... ... 634 



Curves on surfaces 635-636 



Geodesies 636-638 



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