8000 Transformations 



Sphero-conics. Cremona, L. N. A. Mth. 19 



(1860) 269-. 

 . Heilermann, . Schlomilch Z. 6 (1861) 



153-. 

 . Sykes, G. S. [1877] Am. Ac. P. 13 



(1878) 375-. 



. Morley, F. Mth. Gz. 1 (1900) 249-. 

 , application of elliptic functions. Enneper, 



A. Z. Mth. Ps. 22 (1877) 244-. 

 , homogeneous spherical coordinates. 



Cassani, P. G. Mt. 6 (1868) 81-. 

 , confocal. Chasles, M. Liouv. J. Mth. 5 



(1860) 425-. 



, . Fournier-Vannson, . N. A. Mth. 



19 (1860) 197-. 

 , . Heilermann, . Schlomilch Z. 6 



(1861) 326-. 



and developable formed by tangents. Huber, 

 G. Z. Mth. Ps. 45 (1900) 86-. 



as envelopes of systems of circles. Czuber, 

 E. Arch. Mth. Ps. 7 (1889) 143-. 



, focal circles. Graves, (Rt. Rev.) C. [1889] 

 Ir. Ac. T. 29 (1887-92) 285-. 



in- and circum-scribed to quadrangle. 

 Jeffery, H. M. QJ. Mth. 13 (1875) 350-. 



, mechanical description. Hart, H. L. 



Mth. S. P. 6 (1874-75) 136-. 

 , properties. CJiasles, M. Brux. Ac. Sc. 



Mm. 6 (1830) 46 pp. 

 Sphero- and plane conies, properties. Mehmke, 



R. Z. Mth. Ps. 23 (1878) 255-. 

 Surface of triple secants ; number of quadruple 



secants. Picquet, H. (xi) Par. S. Mth. 



Bll. 1 (1873) 260-. 

 ; (Picquet). Guccia, 



G. B. Palermo Cir. Mt. Rd. 1 (1887) 



26-. 



Surfaces passing through skew curves, "ex- 

 cess." Kohn, G. [1880] Wien Ak. Sb. 82 



(1881) (Ab. 2) 755-. 

 Tangent, construction. Anon, (vi 533) Ger- 



gonne A. Mth. 10 (1819-20) 89-. 

 Tangents and osculating planes of curves. 



Czuber, E. Mh. Mth. Ps. 3 (1892) 337-. 



to projections of curves. Hachette, J. N. P. 

 Par. EC. Pol. Cor. 3 (1814-16) 197-. 



Transformations and General 

 Methods for Algebraic Con- 

 figurations. 



(References to papers dealing with enu- 

 merative geometry may be found 

 in sections 8000 to 8100.) 



8000 General. 



Centrals, theory. Grassmann, H. Crelle J. 



24 (1842) 262-, 372-; 25 (1843) 57-. 

 Configurations, definition by construction of 



their polar systems. Thieme, H. Z. Mth. 



Ps. 24 (1879) 221-, 276-. 

 Continuous correspondences between the points 



of r groups. Paolis, R. de. A. Mt. 18 (1890) 



93-. 



Collineation ; duality 8010 



Envelopes of Sm^ (cue,- + py f + yz t - p) 2 = 0. 



Ruffini, F. P. Bologna Ac. Sc. Mm. 4 



(1882) 123-. 

 Equations of geometry. Jordan, C. C. R. 



68 (1869) 656-. 

 Higher geometry. Dillner, G. Ts. Mt. Fys. 



1 (1868) 27-, 124-, 169-, 209-, 270- ; 2 



(1869) 82-, 137- ; 3 (1870) 30-, 111-, 176- ; 



Ups. N. Acta S. Sc. 8 (1873) No. 9, 



136 pp. 

 Homogeneous project! ve coordinates in plane 



and space. Aschieri, F. Mil. I. Lomb. Rd. 



25 (1892) 381-. 



Imaginary points; antiprojective correspond- 

 ence. Segre, C. Tor. Ac. Sc. At. 25 (1890) 



276-, 430-, 592- ; 26 (1891) 35-. 

 Locus theorems in which generating point 



divides variable linear segment in constant 



ratio, generalisation. Roberts, S. Am. J. 



Mth. 3 (1880) 336-. 

 Point system, harmonic mean point. Kohn, G. 



[1883] Wien Ak. Sb. 88 (1884) (Ab. 2) 



424-. 



systems, equations representable by 3. 

 Ocagne, M. d' . Par. S. Phlm. Bll. 5 (1893) 

 (C. R., No. 17) 2-; C. R. 123 (1896) 988-, 

 1098, 1254-. 



Projective relations of geometric systems. 

 Franke, J. N. Par. T. Nauk Sc. Pam. 1 

 (*1871) 101-. 



Singular points on algebraic plane curves. 

 Tichomandrickij, M. A. Kharkov Mth. S. 

 Com. 2 (1891) 114- ; Fschr. Mth. (1891) 

 757. 



Transformation in geometry and in mathe- 

 matical physics. Haton de la Goupilliere, 

 J. N. C. R. 58 (1864) 1001- ; Par. EC. 

 Pol. J. 25 (1867) 153-. 



principle. Hesse, L. 0. [1865] Crelle J. 

 66 (1866) 15-. 



. Cayley, A. [1866] Crelle J. 67 (1867) 



95-. 



sequence. Muirhead, R. F. Edinb. Mth. 

 S. P. 16 (1898) 70-. 



Transformations, circular. Emch, A. [1898] 

 A. Mth. 12 (1898-99) 141-. 



of geometric propositions, examples. Zen- 

 then, J. C. G. N. A. Mth. 3 (1864) 

 297-. 



, theory. Servais, C. Mathesis 8 (1888) 



105-. 

 Trigraphy, applications. Russell, J. W. L. 



Mth. S. P. 26 (1895) 446-. 



8010 Collineation; duality. 



Affinity of geometric figures, general kind. 



Mobius, A. F. Crelle J. 12 (1834) 109-. 

 , special case, applications. Korteweg, D. J. 



Z. Mth. Ps. 21 (1876) 28-. 

 . tyP 6 - Timerding, H. E. Arch. Mth. 



Ps. 17 (1900) 60-. 

 Anharmonic ratio, analogues. Brill, J. QJ. 



Mth. 29 (1898) 286-. 

 , conical, of 10 points. Mozat, . C. R. 



118 (1894) 790-. 



552 



