Schedule of Classification 



PAGE 



Conies with Common 



Focus or Foci ... 500 

 7240 Metrical and projective pro- 

 perties of quadric surfaces 502 



Axes of Quadric Surf aces 502-503 



Ellipsoid 504 



Equations of Quadrics. 

 (See also 2040 and 

 7200.) 504-505 > 



Foci and Focal Properties 



of Quadrics ... 505-506 



Generation and Genera- 

 tors of Quadrics ... 506 



Hyperboloid and Hyper- 

 bolic Paraboloid 506-507 



Inscribed, Circumscribed, 

 and Conjugate Figures. 

 (See also 7210 and 

 8075.) 507-508 



Intersections of Quadrics. 



(See also 7660, 8440.) 508-509 



Normals to Qaadrics ... 510 



Plane Sections of Quad- 

 rics 510-511 



Quadrics determined by 

 Points, Lines and 

 Tangent Planes, and 

 Methods of Determina- 

 tion 512 



7260 Systems of quadric surfaces. 



(See also 8070, 8090.) ... 513 



Confocal Quadrics ... 513 



Algebraic Curves and Surfaces of degree 

 higher than the second. (See also 8070.) 

 7600 General 514 



Curves ... ... ... 515 



7610 Metrical and projective pro- 

 perties of algebraic plane 

 curves of degreehigherthan 

 the second. (See also 8030, 



8075,8430.) 517 



Curves, 2nd and 3rd 



degrees ... ... 519 



Curves, 3rd degree 519-522 



Curves, 3rd and 4th, 3rd 



and 5th degrees ... 522 I 

 Curves, 4th degree 522-524 



Curvet, 5th, 5th and 6th, 



6th, 14th, mth degrees 524 

 Curves, nth degree 524-525 \ 



Curves, nth and pth de- 



rees 525 

 plane. algebraic 

 ^curves. (See also 8030.) 530 



Cartesian ovals ... ... 530 



Curves, 3rd degree 531-532 

 Curves, 3rd and 4th de- 

 grees 532 



Curves, 4th degree 532-533 



Curves, 5th, 6th degrees 533 



PAGE 



Lemniscates ... 533-534 



7640 Algebraic surfaces of degree 

 higher than the second. 



(See also 8040.) 536 



Contacts, and Tangent 

 Lines and Planes. (See 

 also 8450.) ... 536-537 



Surfaces, 2nd and 3rd, 

 2nd, 3rd and 4th, de- 

 grees ... ... ... 539 



Surfaces, 3rd degree 539-540 

 Configurations. (See also 



8075.) 539 



Surfaces, 3rd and 4th, 

 4th, 4th and 5th, 5th, 

 (m + n)th, nth degrees 540 

 7650 Special algebraic surfaces ... 541 

 Anallagmatic surfaces. 



(See also 8020.) ... 541 

 Hummer's surface. (See 



also 8060 and 8080.) 542-543 

 Steiner's surface ... 544 



Surfaces, 3rd degree, 3rd 



and 4th degrees . . . 545 

 Surfaces, 4th degree 545-546 

 Surfaces, 5th, 6th, 7th, 

 8th, nth, (n + 2)th de- 

 grees 546 



Tore or Anchor-ring 546-547 

 Wave surface ... ... 547 



7660 Skew algebraic curves. (See 



also 7240, 7660, 8030, 8050. ) 548 

 Curves, 3rd degree 548-549 

 Curves, 3rd and 4th de- 

 grees 549 



Curves, 4th degree 549-550 



Curves, 5th and higher 

 degrees ... ... 550 



Transformations and General Methods 

 for Algebraic Configurations. 



(References to papers dealing with enumera- 

 tive geometry may be found in sections 

 8000 to 8100.) 



8000 General 552 



8010 Collineation ; duality ... 552 

 8020 Other algebraic transforma- 

 tions. (See also 6810, 7650.) 556 

 8030 Groups of points on an 

 algebraic curve ; genus of 

 curves ; principle of corre- 

 spondence. (See also 7610, 



7630, 7660.) 560 



Groups of points 562-563 

 Involutions ... 563-564 

 Principle of correspond- 

 ence 564-565 



8040 Groups of curves and points 

 on an algebraic surface ; 

 genus of surfaces. (See 

 also 7640.) 566 



Ivi 



