8430 



Plane Curves (Calculus) Trajectories 8430 



of normal section of given surface determined 



on mechanical considerations. Kolacek, F. 



Casopis 24 (1895) 225- ; Fschr. Mth. (1895) 



698. 

 and normals (Chasles-Transon construction). 



Boklen, O. Schlomilch Z. 3 (1858) 252-. 

 , and tangents of certain system of curves, 



construction. Stegmann, F. Grunert Arch. 



7 (1846) 48-. 

 , unknown curves, construction. 



Pressel, W. Grunert Arch. 4 (1844) 337-. 

 of plane sections of anallagmatic surfaces. 



Laguerre, E. (x) Par. S. Phlm. Bll. 7 



(1871) 241-. 

 at point of inflexion, or at cusp. Breton [de 



Champ], P. N. A. Mth. 13 (1854) 127-. 

 and polar sub-normals. Ghysens, E. Brux. 



Ac. Bll. 43 (1877) 544-. 

 properties, transformation by reciprocal polars. 



Mannheim, A. Liouv. J. Mth. 11 (1866) 



193-. 

 of reciprocally polar curves, relation between. 



Ocagne, M. d\ Par. EC. Norm. A. 4 (1887) 



313-. 

 successive, of certain curves. Godefroy, E. 



C. B. 117 (1893) 1062- ; Par. EC. Pol. J. 



2 (1897) 19-. 

 , theory of curves deduced from. Timmer- 



mans, J. A. Lille Mm. S. (1827-28) 46-. 

 of systems of curves, relation between. 



Chemin, J. N. A. Mth. 7 (1868) 120-. 



Badius vector and tangent, angle between, 

 application to optics. Piani, D. [1850] 

 Bologna Mm. Ac. Sc. 4 (1853) 309-. 



Semicurvilinear coordinates, system. Petro- 

 vitch, M. Prag Sb. (1898) (Mth.-Nt.) No. 7, 

 21pp. 



Sextactic points. Cayley, A. Phil. Trans. 

 155 (1865) 545-. 



__ _. Spottiswoode, W. Phil. Trans. 155 

 (1865) 653-. 



. Battaglini, G. Bm. B. Ac. Line. Bd. 

 4 (1888) (Sem. 2) 238-. 



of algebraic curves. Gerbaldi, . 

 Palermo Cir. Mt. Ed. 4 (1890) 65-. 



Singular point, motion. Jacobi, C. G. J, 

 Crelle J. 24 (1842) 5-. 



points. Cremona, G. F. [1820] (vn) Mod. 

 Mm. Ac. Sc. 1 (1833) (pte. 2) 79-. 



, form, etc. Matthiessen, L. Schlomilch 



Z. 8 (1863) 451-. 



Tac-loci. Workman, W. P. [1882] Mess. Mth. 

 12 (1883) 21-. 



Tangent and centre of curvature of certain 

 curve, constructions. Sucharda, A. Prag 

 C~eske Ak. Fr. Jos. Ez. (Trida 2) 8 (1899) 

 Art. 40, 6 pp.; Fschr. Mth. (1899) 471. 



normal of curve, locus derived from. 

 Bassani, A. G. Mt. 22 (1884) 211-. 



Tangential triangle, infinitesimal ratio of seg- 

 ment. Voller, . Grunert Arch. 31 (1858) 

 449-; 33 (1859)433-. 



, . Weiler, A. Grunert Arch. 



32 (1859) 418-. 



Tangents, normals, curvature. Gaudard, J. 

 A. Gen. Civ. 2 (1873) 484-. 



, , etc., of curves in general, and of conies. 

 Dostor, G. Arch. Mth. Ps. 51 (1870) 129-. 



Theorem. If Q = x cos + y sin 6-f (6), then 

 6' = is normal to envelope of = 0, 6" = 

 is normal to evolute of envelope, etc. Tail, 

 P. G. QJ. Mth. 3 (1860) 364-. 



Theorems of Fouret and Jamet. Cesdro, E. 

 Mathesis 13 (1893) 217-. 



Theory of curvature. Tichomandrickij , M. A. 

 Kharkov Mth. S. Com. (1886) 33-. 



and kinematics of rigid body, con- 

 nexion between; Landsberg, G. Crelle J. 

 Mth. 118 (1897) 163-. 



Trajectories. 



of confocal conies, plane and spherical. 



Roberts, W. A. Mt. 6 (1864) 28-. 

 determination, so that the two radii of curvature 



at points of intersection are in given relation. 



Hansen, C. (xii) Ts. Mth. 2 (1866) 117-. 

 isogonal, areas, etc., of systems of curves. 



Ekama, H. N. Arch. Wisk. 1 (1895) 55-; 



Fschr. Mth. (1893-94) 1079. 

 oblique, of system of confocal ellipses. 



Mukhopadhyay, A. [1887] Beng. As. S. J. 



56 (Ft. 2) (1888) 117-. 

 orthogonal. Rummer, E. E. Crelle J. 35 



(1847) 5-. 



. Kiepert, L. Z. Mth. Ps. 17 (1872) 420-. 

 , in bipolar coordinates. Baur, C. W. Z. 



Mth. Ps. 12 (1867) 430-. 

 , . Varies, G. N. A. Mth. 13 



(1894) 283-. 

 , composed solely of conies, families. Appell, 



P. [1878] Arch. Mth. Ps. 63 (1879) 50-. 

 , example in Boole's "Differential equa- 

 tions." Glaisher, J. [1879] Mess. Mth. 



9 (1880) 46-. 



and homofocal. Legoux, A. N. A. Mth. 

 20 (1881) 406-. 



, of surface. Euler, L. [1782] St Pet. Ac. 



Sc. Mm. 7 (1820) 33-. 

 of points and envelopes of movable lines in 



plane. Ocagne, M. d'. C. B. 109 (1889) 



959-; 110 (1890) 60. 



of moving figure, centres of curvature. 

 Marcolongo, JR. Palermo Cir. Mt. Ed. 7 

 (1893) 29-. 



rigid body in motion, curvature. 

 Schonfties, A. Liege S. Sc. Mm. 11 (1885) 

 #o. 6, 9 pp., No. 9, 15 pp. 



in solid subject to 4 conditions, radius of 



curvature. Reveille, J. C.E. 104 (1887)1827-. 

 on straight line. Ocagne, M. d'. As. 



Fr. C. E. (1889) (Ft. 2) 228-. 

 moving in space. Mannheim, A. 



C. B. 76 (1873) 551-, 635-; (x) Par. S. Mth. 



Bll. 1 (1873) 106-. 



Transformation, ortho tangential. Cesdro, E. 

 N. A. Mth. 8 (1889) 116-. 



, y' = -*L of curves. Colli- 

 , (x) ' y f (x) 

 gnon, E. As. Fr. C. B. (1897) (Pt. 2) 7-. 



x'-- 



606 



