7650 



Higher Algebraic Surfaces. Wave Surface 



7650 



problem : to draw from given point lines 

 doubly tangent to tore. Janin, , < 

 Mannheim, A. (x) Par. S. Phlm. Bll. 2 

 (1865) 54-. 



properties. Woodward, C. M. Am. As. P. 

 (1886) 71-. 



section by plane through centre and tangent at 

 opposite sides. Hyde, E. W, Des Moines 

 Anal. 3 (1876) 78-. 



tangent plane through centre. Anon. 

 (vi 896) N. A. Mth. 18 (1859) 258-. 



sections. Garlin, . N. A. Mth. 13 (1854) 



415-; 18 (1859) 319-. 



. Cornu, A. N. A. Mth. 20 (1861) 101-. 

 . Darboux, G. N. A. Mth. 3 (1864) 156-. 

 , bicircular, theorem. Yvon-Villarceau, 



A. J. F. N. A. Mth. 7 (1848) 345-. 

 , , Yvon-Villarceau's theorem. Allocati,A. 



G. Mt. 1 (1863) 284-. 

 , , . Barbier, E. Les Mondes 3 



(1863) 675-, 703-. 

 , , . Vianna, P. A. G. Teix. J. Sc. 



1 (1878) 84-. 



by bitangent plane. Godart, (Prof.) A. N. 

 A. Mth. 3 (1864) 350-. 



. Dyri(m,L. N. A. Mth. 4 (1865) 348. 



. Gerono, G. C. N. A. Mth. 4 



(1865) 349-. 

 . Eckardt, F. E. Z. Mth. Ps. 12 



(1867) 183. 

 , and by sphere. Nombel, J. N. A. 



Mth. 4 (1865) 346-. 

 , circular. Godart, A. N. A. Mth. 4 (1865) 



159-. 

 , . ricaire,E. Par. S. Mth. Bll. 19 (1891) 



46-. 

 , , of tore, etc. Breton [de Champ], P. N. 



A. Mth. 15 (1856) 40-. 



, plane. Fuortes, T. G. Mt. 10 (1872) 97. 

 , , constructions for tangent and radius of 



curvature. Laquiere, E. M. N. A. Mth. 1 



(1882) 561-. 

 shadow cast on itself. Cahen, C. P. Par. S. 



Mth. Bll. 4 (1876) 87-. 



Wave surface. 



Cauchy, A. L. C. E. 13 (1841) 184-. 

 Cayley, A. Liouv. J. Mth. 11 (1846) 291-. 

 Prescott, J. E. QJ. Mth. 2 (1858) 1-. 

 Cayley, A. QJ. Mth. 3 (1860) 16-, 142-. 

 Durrande, H. N. A. Mth. 20 (1861) 456-; 2 



(1863) 193-, 252-. 



Mathieu, E. Liouv. J. Mth. 11 (1866) 298-. 

 Turnbull, W. P. Mess. Mth. 3 (1866) 153-, 



205-. 

 Catalan, E. C. [1868] Brux. Ac. Sc. Mm. 38 



(1871) 64 pp. 

 Mannheim, A. As. Fr. C. E. (1874) 1168- ; 



(1875) 167- ; (1877) 167- ; (1878) 63-; C. E. 



88 (1879) 1248- ; E. S. P. 32 (1881) 447-. 

 (Mannheim's researches.) Niven, C. QJ. Mth. 



15 (1878) 242-. 



Cayley, A. A. Mt. 20 (1892-93) 1-. 

 Lacour, . N. A. Mth. 17 (1898) 266-. 

 Boklen, 0. Z. Mth. Ps. 44 (1899) 289-. 

 More, L. T. N. Y. Am. Mth. S. Bll. 6 (1900) 



3, 12-. 



asymptotic lines. Darboux, G. C. E. 97 



(1883) 1039-. 

 Cartesian equation. Tait, P. G. QJ. Mth. 3 



(1860) 269-. 



Catalan's memoir on, and a geometric trans- 

 formation, report. Gilbert, P. Brux. Ac. 

 Bll. 27 (1869) 129-. 



corresponding surface of elasticity, etc. 

 Lacour, E. N. A. Mth. 19 (1900) 362-. 



definition, new. Darboux, G. C. E. 92 (1881) 

 446-. 



equation in elliptic coordinates. Cayley, A. 

 Mess. Mth. 8 (1879) 190-. 



, forms. Roberts, S. QJ. Mth. 17 (1881) 319-. 



equi-radial curve. Walton, W. QJ. Mth. 6 

 (1863) 144-. 



wave-cone. Walton, W. QJ. Mth. 6 (1863) 

 78-. 



family of surfaces including. Walton, W. 

 Camb. and Dubl. Mth. J. 7 (1852) 105-. 



Fresnel's wave surface and related surfaces. 

 Booth, W. [1896] Dubl. S. Sc. T. 6 (1898) 

 205-. 



generation by intersection of 2 rotation sur- 

 faces. Walton, W. [1860] QJ. Mth. 4 (1861) 

 310-. 



, new, and various constructions. Mannheim, 

 A. C. E. 90 (1880) 1333-. 



Hamilton's singular points. Booth, W. [1896] 

 Dubl. S. Sc. P. 8 (1893-98) 381-. 



modelling, practical method. Hicks, W. M. 

 Mess. Mth. 5 (1876) 183-. 



normals. Mannheim, A. As. Fr. C. E. (1877) 

 175-. 



, curvatures, and lines of curvature. Mann- 

 heim, A. C. E. 64 (1867) 170-, 268-. 



optical properties. Mannheim, A. As. Fr. C. 

 E. (1875) 231- ; C. E. 82 (1876) 368-; 122 

 (1896) 708-. 



properties. Niven, C. QJ. Mth. 15 (1878)257-. 



property. Townsend, It. [1872] Mess. Mth. 

 2 (1873) 28-. 



, generalisation. Anon, (xi 55) N. A. Mth. 

 1 (1882) 29-. 



, geometrical. Walton, W. QJ. Mth. 4 



(1861) 151-. 



representation by elliptic functions. Weber, H. 



Ziir. Vjschr. 41 (1896) (Festschr., Th. 2) 82-. 

 as surface limit. Mannheim, A. C. E. 90 



(1880) 971-. 

 tangent planes and radii, relation to ellipsoid 



of construction. Walton, W. QJ. Mth. 5 



(1862) 285-. 



, singular, and sections by planes parallel 



to them. Mannheim, A. As. Fr. C. E. 



(1877) 125-. 



theorems. Niven, C. QJ. Mth. 9 (1868) 22-. 

 _, 2. Mannheim, A. C. E. 78 (1874) 839-. 

 triple system of confocal quartics comprising. 



Legoux, A. N. A. Mth. 4 (1885) 393-. 

 umbilici, geometric determination. Mannheim, 



A. C. E. 88 (1879) 902-. 



Weddle's quartic surface. Cayley, A. C. E. 

 52 (1861) 1216-. 



. Poudra, . N. A. Mth. 2 (1863) 307-. 



. Hierholzer,C. Mth. A. 4 (1871) 172-. 



547 



MM 2 



