8100 Hyperspace 



Variety, quadric, successive projection on itself. 

 DelRe,A. Km. E.Ac. Line. Ed. 5 (1896) (Sem. 

 2)365-. 



^-dimensional space. 



collinearities and correlations, ordinary and 



special. Visalli, P. Mil. I. Lomb. Ed. 29 



(1896) 351-, 439-, 521-, 559-. 

 complex of 1st order. Ascione, E. Em. E. 



Ac. Line. Ed. 6 (1897) (Sem. 1) 162-. 

 complexes. Bordiga, G. Yen. I. At. (1887- 



88) 919-. 

 . Palatini, F. Yen. I. At. (1899-1900) 



(Pt. 2) 861-. 

 condition that 5 straight lines should lie on 



quadric. Bichmond, H. W. Camb. Ph. S. 



P. 10 (1900) 210-. 

 configuration of lines. Bordiga, G. Ven. I. 



At. (1896-97) 420-. 

 congruence, 3rd order and 6th class. Castel- 



nuovo, G. Ven. I. At. (1886-87) 1249- ; 



(1887-88) 525-. 

 , 4th order and 2nd class. Bordiga, G. Ven. 



I. At. (1893-94) 1605-. 

 Cremonian transformation. Del Pezzo, P. 



Nap. Ed. 35 (1896) 336-; 36 (1897) 33-. 

 cubic varieties. Segre, C. Tor. Ac. Sc. Mm. 



39 (1889) 3-. 

 . Enriques, F. G. Mt. 31 (1893) 31-. 



variety with 10 double points. Segre, C. 

 Tor. Ac. Sc. At. 22 (1886-87) 791-. 



elliptic curve of 5th degree. Meyer, F. Mth. 



A. 26 (1886) 154-. 

 figure formed from 6 points. Bichmond, H. W. 



Mth. A. 53 (1900) 161-. 

 focal properties of quadrics. Sommer, J. Mth. 



A. 53 (1900) 113-. 

 geometric interpretation of linear equation. 



Nicoli, F. Mod. Ac. Sc. Mm. 7 (1890) 205- ; 



8 (1892) 489-. 

 homaloidal systems of quadrics. Del Pezzo, P. 



Nap. Ed. 34 (1895) 133-. 

 hyperquadrics. Schoute, P. H. [1900] Amst. 



Ak. Vh. (Sect. 1) 7 (1901) No. 4, 66 pp. ; 



Haarl. Ms. Teyl. Arch. 7 (1902) 117-. 

 line geometry. Castelnuovo, G. Ven. I. At. 



(1890-91) 855-. 

 linear, birational transformation of ordinary 



ruled space in. Pannelli, M. Em. E. Ac. 



Line. Ed. 6 (1890) (Sem. 1) 479-. 



transformations. Hathaway, A. S. [1898] 

 N. Y. Am. Mth. S. Bll. 5 (1899) 88, 93-. 



normal curve. Aschieri, F. Em. E. Ac. Line. 



Mm. 4 (1887) 172-. 

 of 4th degree. Bordiga, G. A. Ven. I. 



At. (1885-86) 503-. 

 plane, lines of triple curvature. Pirondini, G. 



G. Mt. 28 (1890) 219-. 



point pairs. Frege, . Jena. Sb. (*1883) 98-. 

 points of, and straight lines of ordinary space, 



one-one correspondence between. Chizzoni, 



F. Catania Ac. Gioen. At. 20 (1888) 273-. 

 primitive groups of transformations. Page, J. 



M. Am. J. Mth. 10 (1888) 293-. 

 regular convex figures. Puchta, A. Wien Ak. 



Sb. 89 (1884) (Ab. 2) 806-. 

 2 representations of ruled space on linear form. 



Loria, G. G. Mt. 27 (1889) 224-. 



Infinitesimal Geometry 8400 



ruled surface of 4th degree. Caldarera, G. 



Acireale Ac. At. 7 (1896) (Sc.) 141-. 

 surface of 6th degree, with 10 straight lines, 



and its projections in ordinary space. Bordiga, 



G. Em. E. Ac. Line. Mm. 4 (1887) 182-. 

 surfaces whose triple secants form complexes of 



1st order. Ascione, E. Em. E. Ac. Line. 



Ed. 6 (1897) (Sem. 1) 240-. 

 syzygies connecting quadratic relations of line 



coordinates. Young, W. H. Tor. Ac. Sc^ 



At. 34 (1898) 438- or 596-. 

 tetratops ( = 4-dimensional angle bounded by 



four spaces) and polytops. Hoppe, B. Arch. 



Mth. Ps. 67 (1882) 412-. 

 use in study of surfaces including several series of 



conies. Cosserat,E. C. E. 124 (1897) 1004-. 

 varieties with continuous integrable group 



of projective automorphic transformations. 



Fano, G. Ven. I. At. (1895-96) 1069-. 

 variety of 27th order. Brambilla, A. Nap. 



Ac. At. 9 (1899) No. 2, 37 pp. 



5-dimensional space, homaloidal surface of 2 

 dimensions and 4th degree. Veronese, G. 

 Em. E. Ac. Line. Mm. 19 (1884) 344-. 



, surface of 7th degree. Bordiga, G. 

 Ven. I. At. (1886-87) 1397-. 



, systems of straight lines considered as 



surfaces. Fano, G. A. Mt. 21 (1893) 141-. 

 6-dimensional space, surfaces of 5th and 6th 



degrees. Bordiga, G. Ven. I. At. (1885-86) 



1461-. 

 n - 1 dimensional space, axes of quadric surface. 



Story, W. E. J. H. Un. Cir. [3] (1884) 122. 

 , involutions of degree n and species 1. 



Morale, M. Palermo Cir. Mt. Ed. 13 (1899) 



274-. 



, quadrics having n-fold common 

 polars. Burali-Forti, C. Palermo Cir. Mt. 

 Ed. 4 (1890) 118-. 



, rational curves of nth degree. Loria, 



G. Palermo Cir. Mt. Ed. 2 (1888) 201-. 

 , uniform correspondences in elliptic 



curves of nth degree. Amodeo, F. A. Mt. 



19 (1891-92) 1-. 

 n + 1 dimensional space, lines in ruled surfaces 



of nth degree. Palatini, F. G. Mt. 36 



(1898) 368-. 



, projective invariants of system of 

 m + 1 points. Lovett, E. O. Bll. Sc. Mth. 

 23 (1899) 10-. 



, strip elements and collections of 

 elements. Kowalewski, G. Leip. Mth. Ps. 

 B. 52 (1900) 91-. 



, surfaces of nth degree. Del Pezzo, 



P. Nap. Ed. 24 (1885) 212-. 



Infinitesimal geometry ; applica- 

 tions of differential and integral 

 calculus to geometry. 

 8400 General. 



Area of surface, definition. Peano, G. Em. 



B. Ac. Line. Ed. 6 (1890) (Sem. 1) 54-. 

 Consecutive surfaces. N., M. N. Camb. Mth. 



J. 1 (1839) 187-. 



589 



