8470 Spirals 



Plane curves, theory. Enneper, A. Gott. Nr. 



(1884) 364-. 

 transcendental curve, arc, representation 



of elliptic function, 1st species, by. Torto- 



lini, B. Tortolini A. 4 (1853) 485-. 

 curves belong to system (/*, v). Fouret, 



G. Par. S. Mth. Bll. 2 (1874) 96-. 

 " Points de dedoublement. " Mansion, P. Bll. 



Sc. Mth. As. 3 (1879) (Pt. 1) 514-. 

 Singular curves. Peano, G. Tor. Ac. Sc. At. 



26 (1891) 299-. 

 Sinusoidal curves. Cesdro, E. N. A. Mth. 13 



(1894) 102-. 



Spirals. 



Pagani, G. M. Brux. Mm. Cour. 5 



58 pp. 



Olivier, T. Par. S. Phlm. N. Bll. (1833) 21-. 

 Hill, T. Am. As. P. (1859) 158. 

 Schou, T. V. Mth. Ts. 2 (1860) 6-. 

 La Gournerie, J. de. G. B. 66 (1868) 283-, 



832-; Liouv. J. Mth. 14 (1869) 9-, 103-. 

 approximate construction. Thallmayer, V. 



Dingier 226 (1877) 156-. 

 of Archimedes, minimal property. Janisch, E. 



Arch. Mth. Ps. 9 (1890) 445-. 

 class, properties. Laquiere, E. M. N. A. 



Mth. 2 (1883) 118-. 

 conical, graphic method for tangents. Gar- 



binski, H. Gergonne A. Mth. 16 (1825-26) 



167-. 

 equiangular, geometrical proofs. Whitworth, 



W. A. Mess. Mth. 1 (1862) 5-, 138-. 

 harmonic. Eaffy, L. Par. EC. Norm. A. 12 



(1895) 145-. 

 hyperbolic or inverse. Palmer, W. K. Kan. 



Un. Q. 7 (1898) 155-. 

 , tangents. Schiffner, F. Arch. Mth. Ps. 



66 (1881) 334-. 

 logarithmic. Turquan, . N. A. Mth. 5 



(1846) 88-. 



. Pirondini, G. Mathesis 19 (1899) 153-. 

 , construction. Wiebe, F. K. H. Berl. Pol. 



Gs. Vh. 23 (1862) 106-. 

 , history of applications. Favaro, A. Bb. 



Mth. (1891) 23-. 



, and involute of circle. Orlando, L. Ma- 

 thesis 20 (1900) 110-. 

 , new. Binet, J. P. M. Par. S. Phlm. PV. 



(1841) 15. 

 new. Drach, S. M. Mathematician 3 (1850) 



34-. 

 peculiar. Wolfers, J. P. Grunert Arch. 28 



(1857) 114-. 

 properties. Laguerre, E. (x) Par. S. Phlm. 



Bll. 6 (1869) 39-. 

 system, intrinsic equations. Onnen, H. Arch. 



Neerl. 10 (1875) 361-. 



r=a^-. Stockly, L. Arch. Mth. Ps. 48 



(1868) 109-. 



where p=r. Schlomilch, 0. Z. Mth. Ps. 14 



(1869) 162-. 



p n = Asinnu. Haton de la Goupilliere, J. N. 



N. A. Mth. 15 (1876) 97-. 

 r0=asin0. Jung, G. Bm. B. Ac. Line. T. 



7 (1883) 97-. 



Transcendental Surfaces 8480 



p m - p n =(a m -a n ) -, properties. Cabreira, A. 



Lisb. J. Sc. Mth. 5 (1898) 1-; Fschr. Mth. 

 (1897) 536. 



p=Rsio.fj.u, algebraic if /u. is integral, trans- 

 cendental otherwise. Loria, G. Fschr. 

 Mth. (1899) 515. 



Strophoidals. Longchamps, G. de. Mathesis 



14 (1894) 138-. 

 Tractrix. Gesdro, E. (xn) Mathesis 2 (1882) 



217-. 



of curve with planimetric application. Leh- 

 mer, D. N. A. Mth. 1 (1900) 14-. 



, polar. Webb, J. B. Am. As. P. (1889) 



, problem. Dubuat, . Gergonne A. Mth. 



4 (1813-14) 332-; 5 (1814-15) 210-. 

 Trajectories, isogonal, of co-axal circles. Lodge, 



A. Mth. Gz. 1 (1900) 213-. 

 , , . Macaulay, F. S. Mth. Gz. 



1 (1900) 214. 

 Transcendental curve, properties. Fuss, N. 



[1817] St Pet. Ac. Sc. Mm. 8 (1822) 147-. 

 , . Azzarelli,M. (vn) A. Mt. 5 (1863) 



72-. 

 , . Egger, E. A. Mt. 6 (1864) 21-. 



curves, properties of two. Collins, E. [1812] 

 St Pet. Ac. Sc. Mm. 6 (1813-14) 86-. 



Trigonometric curves, circular and hyperbolic 



analogies. Anon, (vi 888) N. A. Mth. 14 



(1855) 151-. 

 y=tfc. Milller, Hub. Arch. Mth. Ps. 44 



(1865) 128. 

 sin y sin my = a sin x sin nx + b. Newton, H.A., 



& Phillips, A. W. [1875] Conn. Ac. T. 3 



(1874-78) 97-. 



8480 Special transcendental 

 surfaces. 



Curves and surfaces. Pirondini, G. G. Mt. 



26 (1888) 352-. 

 Envelope of sphere, centre of which describes 



cycloid, edge of regression. Livet, . Par. 



EC. Pol. Cor. 1 (1804-08) 195. 

 Helical surfaces, theory. Stiickel, P. Leip. 



Mth. Ps. B. 50 (1898) (Mth.) 3-. 

 Helicoid. Schiffner, F. Arch. Mth. Ps. 7 



(1889) 54-. 

 , general. Issaly, . N. A. Mth. 19 (1900) 



499-. 

 , principal radii of curvature. Paignon, F. 



M. N. A. Mth. 4 (1845) 413-. 



of revolution, properties of lines of shadow. 

 Negri, C. Tor. Ac. Sc. At. 14 (1878) 

 116-. 



Helicoids. Enneper, A. Gott. Nr. (1870) 



335-. 



. Bianchi, L. [1878] G. Mt. 17 (1879) 9-. 

 . Fouret, G. As. Fr. C. B. 7 (1878) 173-. 

 . Schiffner, F. Arch. Mth. Ps. 68 (1882) 



72-. 

 . Machovec, F. Casopis 13 (1884) 111-; 



Fschr. Mth. (1884) 519-. 



632 



