7640 



Tangent planes to skew surfaces, theorems of 

 Hachette and Chasles. Mansion, P. (xn) 

 Mathesis 3 (1883) 52-. 



touching surface along curve, condition 



for. Greatheed, S. S. (vi Adds.) Camb. 

 Mth. J. 2 (1841) 22-. 



, . Salmon, G. Camb. 



and Dubl. Mth. J. 3 (1848) 44-. 



Tangential hyperboloid of certain ruled quartic 

 surface. Janisch, E. Mh. Mth. Ps. 10 

 (1899) 223-. 



Tangents at multiple point of curve of inter- 

 section. Olivier, T. Par. S. Phlm. N. Bll. 

 (1832) 189-. 



to surface or single system of surfaces, some 

 numerical determinations for. Bonsdorff, E. 

 [E. J.] [1881] Helsingf. Acta 12 (1883) 

 95-. 



touching surface in two points. Boyd, J, H. 

 A. Mth. 5 (1889-90) 109. 



(Boyd). Loud, F. H. A. 



Mth. 5 (1889-90) 229. 



Higher Algebraic Surfaces 



7640 



Cylinders, oblique. Euler, L. [1778] St Pet. 



Ac. Sc. N. Acta 12 (1801) 91-. 

 Decomposition due to presence of multiple lines, 



and paradox. Saltel, L. Brux. Ac. Bll. 47 



(1879) 184-. 

 Determination of degree. Cayley, A. [1882] 



Mess. Mth. 12 (1883) 29-. 

 Developable surfaces, double lines of. Kiinzler, 



G. Arch. Sc. Ps. Nt. 6 (1898) 370-. 

 Diametral planes of algebraic surfaces. Breton 



[de Champ], P. C. E. 34 (1852) 170-. 



surfaces. Binet, J. P. M. Par. EC. Pol. 

 Cor. 2 (1809-13) 74-. 



Equation, homogeneous, of plane section of 

 geometrical surface. Walker, J. J. L. Mth. 

 S. P. 15 (*1883-84) 224-. 



, reduced, special forms. Dumont, F. Par. 

 S. Mth. Bll. 26 (1898) 124-. 



of surface PS - QE = 0, number of constants. 

 Cayley, A. (xn) Ts. Mth. 4 (1880) 145-. 



Equations for lines on developable surfaces. 



Enneper, A. Gott. Nr. (1867) 73-. 

 , plane coordinates. Pliicker, J. Crelle J. 



9 (1832) 124-. 

 , stereometric, of 3rd degree, and resulting 



surfaces. Grassmann, H. [1852] Crelle J. 



49 (1855) 47-. 



as sum of homogeneous functions. Car- 

 michael, E. Camb. and Dubl. Mth. J. 9 



Generation, projective, of general surface of 

 3rd, 4th, and any degree, by systems of 

 surfaces of lower degree. Eeye, T. Mth. A. 

 1 (1869) 455-. 



of surfaces. Blavette, . Eure Eec. S. 

 Ag. 5 (1834) 71-. 



. Vantcek, J. S., & Vanecek, M. N. 



C. B. 97 (1883) 1473-, 1548-. 



. Jonquieres, E. de. C. B. 105 (1887) 



1203-. 



. Sayre, H. A. [1898] A. Mth. 12 



(1898-99) 118-. 



by quadrilinear sheaves of planes. 



Le Paige, C. Brux. Ac. Bll. 8 (1884) 238-. 



Generators, singular, in algebraic ruled surfaces. 

 Bjorling, G. F. E. Stockh. Ofv. (1888) 587-. 



, , bi-nonnal and principal normal sur- 

 faces. Bjorling, C. F. E. Stockh. Ak. 

 Hndl. Bh. 15 (Afd. 1) (1890) No. 8, 18 pp. 



Harmonic pole and plane. Lebesgue, V. A. 

 N. A. Mth. 8 (1849) 22-. 



. Tognoli,0. G. Mt. 8 (1870) 166-. 



Hessians of cubic and quartic, certain sin- 

 gularities. Heal,W.E. A. Mth. 4 (1888) 37-. 



, nodes. Clebsch, A. Crelle J. 59 (1861) 

 193-. 



in relation to multiple points. Eohn, K. 

 Mth. A. 23 (1884) 82-. 



of surfaces. Voss, (Dr) A. Gott. Nr. (1873) 

 418-. 



, degree, geometrical determination. 

 Schubert, H. Z. Mth. Ps. 15 (1870) 126-. 



Intersection curve of two surfaces, degree. 

 Terquem, O. N. A. Mth. 9 (1850) 342-. 



of surface by plane, equation. Housel, . 

 N. A. Mth. 7 (1868) 277-. 



2 surfaces, construction by means of 

 spheres and rotation surfaces. Niemtschik, 

 E. Wien Sb. 64 (1871) (Ab. 2) 117-. 



3 surfaces, points, and curve of inter- 

 section of 2 surfaces. Tognoli, 0. G. Mt. 

 9 (1871) 68-. 



Loci arising from three figures, project! vely 

 related. Del Re, A. Palermo Cir. Mt. Ed. 

 1 (1887) 272-, 398. 



Locus of common apex of pyramids, surfaces 

 as. Dufilhol, . Eouen Ac. Tr. (1814) 

 44-. 



points, such that lines, joining each to 3 



points, cut given plane in triangle of constant 

 area. Sturm, J. C. F. Gergonne A. Mth. 

 14 (1823-24) 302-. 



, sum of whose distances from 2 lines 



is constant. Picart, A. Par. EC. Norm. A. 



(1854) 55-. 

 of surfaces, 2nd and 3rd degrees, geometric - (1864} 285- 



meaning of coefficients. Mossbrugger, L. and class of 



Grunert Arch. 1(1841) 337-. surfaces. Mannheim, A. Bll. Sc. Mth. As. 



, tangential. Laguerre, E. (x) Par. S. 3 (1872) 119- 



Phlm. Bll. 8 (1872) 64-. Maximum and 'minimum distances of point 



from surface, etc. Mayer, A. C. G. Leip. 

 Mth. Ps. B. 33 (1881) 28-. 

 Metrical properties. Craig, T. Am. J. Mth. 



4 (1881) 297-. 



Multiple points of surface. Umpfenbach, (Dr) 

 . Crelle J. 28 (1844) 380. 



, specialising. Eohn, K. Leip. 



Mth. Ps. B. 36 (1884) 1-. 



General properties. Lardner, D. [1824] Ir. 



Ac. T. 14 (1825) 69-. 

 . Dietrich, M. Schlomilch Z. 7 (1862) 



398-. 

 survey of progress. Bertrand, J. J. Sav. 



(1867) 644-. 

 Generation, linear, of all algebraic surfaces. 



Grassmann, H. [1852-55] Crelle J. 48 (1854) 



417- ; 49 (1855) 1-, 21-. 



537 



