8455 



Congruences. Space Elements. Areas 



8460 



Congruences and nets of curves, spherical re- 

 presentation. Guicliard, C. G. E. 116 



(1893) 1238-. 



of normals. Transon, (Prof.) A. N. A. Mth. 

 2 (1863) 138-. 



special type for transformation. Brill, 



J. L. Mth. S. P. 20 (1889) 102-. 



Conjugate systems with equal invariants. 

 Koenigs, G. C. E. 113 (1891) 1022- . 



Contact transformations and optics. Lovett, 



E. 0. Camb. Ph. S. T. 18 (1900) 256-. 

 Curves, tangents of which are part of line 



complex of 1st order, theorem. Appell, P. 

 Arch. Mth. Ps. 60 (1877) 274-. 

 Cyclic system, in envelopes of spheres. 

 Ribaucour, A. C. E. 92 (1881) 233-. 



systems. Eibaucour, A. C. E. 113 (1891) 

 304-, 324-. 



Differential equations. Lie, M. S. Christiania 



F. (1882) #o. 21, 12 pp., No. 22, 6 pp.; 

 (1883) No. 10, 4 pp., No. 18, 5 pp. 



forms and systems of elements. Koenigs, G. 

 Acta Mth. 10 (1887) 313-. 



Infinitesimal properties of circular complexes. 



Cosserat, E. C. E. 106 (1888) 1514-. 



complexes. Bourget, H. C. E. 104 



. (1887) 1253-. 



ruled space. Koenigs, G. Par. EC. 



Norm. A. 11 (1882) 219-. 

 Kinematic geometry (ruled space). Saussure, 



R. de. Am. J. Mth. 18 (1896) 304- ; 19 



(1897) 329-. 

 Line congruences, first differential projective 



invariant. Waelsch, E. C. E. 118 (1894) 



736-. 

 , and problem of Eibaucour. Cosserat, E. 



C. E. 118 (1894) 335-. 



surfaces, infinitesimal geometry. 

 Waelsch, E. Wien Ak. Sb. 100 (1891) (Ab. 2a) 

 158-. 



, theorem of Darboux on orthogonal 



systems. Cosserat, E. Toul. Fac. Sc. A. 8 



(1894) B, 9 pp. 



Normals to surface. Bonnet, 0. C. E. 52 



(1861) 1081-. 

 . Baehr, G. F. W. N. A. Mth. 2 



(1863) 35-. 

 Osculatory transformations of surfaces. Back- 



lund, A. V. [1875] Mth. A. 9 (1876) 297-. 

 Plane curves with factorable parallels. Snyder, 



V. [1900] N. Y. Am. Mth. S. Bll. 7 (1901) 



299-. 

 Pseudospherical congruences. Candida, G. 



N. A. Mth. 17 (1898) 275-. 

 Quadratic forms in geometry of complexes. 



Koenigs, G. Toul. Fac. Sc. A. 1 (1887) E, 13-. 

 Euled surfaces. Bouquet, J. Liouv. J. Mth. 



11 (1846) 125- ; Lyon Mm. Ac. 2 (1847) 



385. 

 Surfaces with circular generators. Demartres, 



G. Par. EC. Norm. A. 2 (1885) 123-. 

 Translation surfaces. Lie, S. Leip. Mth. Ps. 



B. 44 (1892) 447-, 559-. 



and Abel's theorem. Lie, S. Leip. 

 Mth. Ps. B. 48 (1896) 141-. 



, special class. Wiegner, G. Arch. Mth. 



Ntvd. 16 (1893) 325-. 



8460 Rectification and quadrature 

 of curves ; areas and volumes of 

 surfaces. Other applications 

 of the integral calculus to 

 geometry. 



Arcs of algebraic curves, plane or skew, pro- 

 perties. Humbert, G. Liouv. J. Mth. 1 



(1895) 181-. 



conies, plane and spherical, and other 



curves, comparison. Maccullagh, J. Ir. Ac. 

 P. 2 (1840-44) 507-. 



plane algebraic curves. Humbert, G. 

 Par. EC. Pol. J. 57 (1887) 171-. 



curves, approximate calculation, 

 application of theorem of Poncelet's. 

 Resal, H. A. C. E. 94 (1882) 1375-. 



,2, Bertrand's proposition on curve 



defined by sum or difference. Sucharda, A. 

 Casopis 18 (1889) 49-; Fschr. Mth. (1889) 

 269. 



with rectifiable, and zones with quadrable 

 difference. Lebesgue, V. A . Liouv. J. Mth. 

 11 (1846) 331-. 



Areas. 



Amsler's theorems, as regards related variable 

 systems. Kleiber, J. Arch. Mth. Ps. 14 



(1896) 405-. 



of anallagmatic curves. Liguine, V. As. Fr. 



C. E. (1881) 231-. 

 approximation, by seven equidistant ordinates. 



Weddle, T. Camb. and Dubl. Mth. J. 9 



(1854) 79-. 

 calculation. Lorenz, L. Mth. Ts. 6 (1864) 



33-. 

 , formula, Poncelot's, error in. Chevilliet, . 



C. E. 80 (1875) 823-. 



, , Simpson's, degree of accuracy. Che- 

 villiet, . C. E. 78 (1874) 1841-. 

 , , , transformation. Saigey, J. F. 



N. A. Mth. 15 (1856) 291-. 

 , Simpson's two rules, comparison, and 



Woolley's rule. Merrifield, C. W. Nv. 



Archt. T. 6 (1865) 40-. 

 , , , . Purkiss, H. J. 



Nv. Archt. T. 6 (1865) 48-. 

 of circular ring, subdivision. Davidson, G. 



Calif. Ac. P. 4 (1868-72) 278-, 290-. 



closed skew curve. Laisant, C. A. As. Fr. 

 C. E. (1899) (Pt. 2) 135-. 



cones and cylinders. Azzarelli, M. Tor- 

 tolini A. 8 (1857) 441-. 



conic, from trilinear equation. Ferrers, 

 N. M. QJ. Mth. 2 (1858) 247-. 



, (Ferrers). Cayley, A. QJ. 



Mth. 2 (1858) 248-. 

 conical, calculation, cases. Guimaraes, R. 



As. Fr. C. E. (1892) (Pt. 2) 166-. 

 of conical wedge-surfaces. Schlomilch, 0. 



Schlomilch Z. 8 (1863) 142-. 



convex contours. Petrini, H. Stockh. Ak. 

 Hndl. Bh. 19 (Afd. 1) (1894) No. 5, 58 pp. ; 

 Fschr. Mth. (1893-94) 1079. 



