8400 



Infinitesimal Geometry 



8410 



Construction of tangents to plane curves. Gode- 



froy, B. C. B. 102 (1886) 604-. 

 Contact of lines and surfaces. Chasles, M. 



Liouv. J. Mth. 2 (1837) 299-. 

 lines of surfaces with circumscribed cones. 



Valles, F. Gergonne A. Mth. 16 (1825-26) 



315-. 

 Correspondence of tangent planes in trans- 



Method of tangents, Eoberval's. Duhamel, 



J. M. C. Par. Mm. Sav. Etr. 5 (1838) 257-. 

 Multiple integrals in tangential and in ruled 



space, and principle of duality. Cartan, E. 



Par. S. Mth. Bll. 24 (1896) 140-. 

 Orthogonal symmetry with reference to any 



cylinder. Pirondini, G. N. A. Mth. 19 



(1900) 107-. 



formation of surfaces by symmetry curve. line Pirondini G G Mt 



Mangeot, S. C. B. 114 (1892) 1463-. 35 (1897) 181- ; 37 (1899) 212-. ' 

 Curvature propositions. Seiliger, D. N. Fschr. surface of revolution. Pirondini, 



Mth. (1892) 582. 

 Curved surfaces, general properties. Lilienthal, 



von. Crelle J. Mth. 98 (1885) 131-. 

 , theory. Lipschitz, B. Acta Mth. 10 



(1887) 131-. 

 , , general. Bibaucour, A. Liouv. J. 



Mth. 7 (1891) 5-, 219-. 

 Curves, properties demonstrated by theory of 



limits. Azzarelli, M. Em. N. Line. At. 42 



(1889) 160-. 



and surfaces, theory. Catalan, E. C. 

 [1874] Brux. Mm. Cour. 8, 24 (1875) (No. 

 2) 48 pp. 



Cylinders, cones, and developable surfaces. 



Tanner, H. W. L. Mess. Mth. 6 (1877) 



145-. 

 Density of chords of surfaces and plane curves. 



Hoppe, B. Arch. Mth. Ps. 7 (1889) 165-. 

 Differential relations in geometry, and synectic 



integrals of differential equations. Cauchy, 



A. L. C. E. 40 (1855) 445-. 

 Essential equations of plane curves, especially 



cycloids. Onnen, H. N. Arch. Wisk. 4 



(1878) 30-. 

 Formation of surfaces by straight line. Hube, 



K. (vi Adds.) Krk. Eoczn. Uniwers. 11 



(1826) 23-. 

 Geometrical increments, with applications to 



geodesies, orthogonal surfaces etc. Lafon, A . 



As. Fr. C. E. (1876) 104-. 



significance of =0. Tychsen, C. (xn) 



Ts. Mth. 1 (1865) 127-. 

 Infinitesimal geometry. Mannheim, A. Torto- 



lini A. 2 (1859) 208-. 

 , problem. Gilbert, L. P. (xn) Mathesis 



1 (1881) 97-. 

 , theorem. Koenigs, G. C. E. 116 (1893) 



Infinitesimals, theorem, in conies. M'Vicker, 



C. E. Mth. Gz. 1 (1900) 209-. 

 Integral calculus and geometry, reciprocal 



relations. Meyer, F. Konigsb. Schr. 39 



(1898) [44]-. 

 Line and surface integrals, generalisation of 



Stokes's theorem. Gilbert, . Brux. S. 



Sc. A. 16 (1892) (Pt. 1) 2-. 

 Maximum and minimum, fallacy hi certain 



proofs. Alison, J. Edinb. Mth. S. P. 15 



(1897) 83-. 

 Mean direction of curved line in plane. Lind- 



hagen, A. N. Ts. Mth. 1 (B) (1890) 80-; 



Fschr. Mth. (1890) 701-- 

 Method of tangents, inverse, problems. Eider, 



L. [1781] St Pet. Ac. Sc. Mm. 10 (1826) 



16. 



G. A. Mt. 22 (1894) 213- ; 25 (1897) 61-. 

 Osculating circles and surfaces to conies and 



quadrics. Ducoroy, G. N. A. Mth. 19 



(1860) 118-. 

 Spheres touching two surfaces. Pellet, A. 



As. Fr. C. E. (1887) (Pt. 2) 116-. 

 Sum of distances of point from given points. 



Schlegel, V. N. Y. Am. Mth. S. Bll. 1 



(1895) 33-. 

 Surfaces referred to their lines of zero length. 



Cosserat, E. C. E. 125 (1897) 159-. 

 Transformation of coordinates from rectangular 



to polar in differential expressions. Smith, 



Arch. Camb. Mth. J. 1 (1839) 121-. 



8410 Principles of infinitesimal 

 geometry. 



Genty, . N. A. Mth. 2 (1883) 237-. 



Cesdro, E. Mathesis 7 (1887) 25-. 



Analytic geometry. Bordoni, A. Mil. G. I. 

 Lomb. 6 (1854) 287-, 420-. 



Areas described in motion of plane figure. 

 Koenigs, G. G. E. 118 (1894) 965-. 



Circles or spheres related to envelope. Serret, 

 P. C. E. 117 (1893) 400-, 435-, 480-. 



Curvature, problem. Seiliger, D. Kazan S. 

 Ps. -Mth. Bll. 10 (1901) 262-. 



Curves, ternary operator in analysis. Walker, 

 J. J. [1878-87] L. Mth. S. P. 9 (1877-78) 

 226- ; 16 (1884-85) 215- ; 19 (1889) 483-. 



Differential geometry, use of rectangular tri- 

 hedron. Schoenfties, A. Gott. Nr. (1898) 



Envelopes. Colard, H. N. A. Mth. 1 (1842) 

 Geometrical theorems connected with Poisson's 



equation 



=*(; 



-2 2 ) * Maclay, J. 



Mth. S. Bll. 7 (1901) 



[1900] N. Y. Am. 

 202, 208-. 



Infinitesimal deformations, use of V-l and 

 alternate numbers i, j, k in. Perna, A. 

 Palermo Cir. Mt. Ed. 12 (1898) 322-. 



elements, projective relation between. Oliver, 

 J. E. [1884] A. Mth. 1 (1884-85) 40-. 



properties of curves, auxiliary curves. 

 Ocagne, M. d\ Am. J. Mth. 11 (1889) 55- ; 

 15 (1893) 389-. 



transformations, geometry. Zorawski, K. 

 Krk. 'Ak. (Mt.-Prz.) Ez. 14 (1899) 218- ; 17 

 (1900) 154- ; Crc. Ac. Sc. Bll. (1897) 365- ; 

 (1899) 81-. 



Intrinsic geometry, questions. Cesdro, E. 

 Mathesis 20 (1900) 5-, 37-, 57-. 



590 



