7630 



Special Plane Curves. Degrees 3, 4 



7630 



Sporer, B. Z. Mth. 



circular, of genus 1, foci. Schoute, . 



Amst. Ak. Vs. 5 (1897) 261-. 

 , inverses of lemniscate with respect to its 



vertices. Wolstenholme, (Rev.) J. L. Mth. S. 



P. 7 (1875-76) 91-. 

 , involution system, and description by 



points when double focus is on curve. 



Cotterill, T. L. Mth, S. P. 1 (1866) No. 8, 



14-. 

 , metric properties, theorems of Jakob 



Steiner. Disteli, M. Ziir. Vischr. 36 (1891) 



255-. 

 , rational, construction. Longchamps, G. de. 



As. Fr. C. E. (1885) (Pt. 2) 131-. 

 , , points of inflexion on. Longchamps, 



G. de. As. Fr. C. E. (1886) (Pt. 2) 5-. 

 connected with reflexion of bright point in a 



sphere. Nicodemi, R. Nap. Ac. Pont. At. 



17 (1887) 109-. 

 triangle. Steggall, . Edinb. Mth. S. P. 



7 (1889) 66-. 

 triangles in perspective. Roberts, S. L. 



Mth. S. P. 28 (1897) 448-. 

 and curves of 3rd class. Spc 



Ps. 40 (1895) 159-. 

 with cusp. Greiner, M. Arch. Mth. Ps. 68 



(1882) 1-. 

 . Bioche, C. N. A. Mth. 12 (1893) 



294-. 

 . Zahradnik, C. N. A. Mth. 18 (1899) 



389-. 



, circum-polygons. Roberts, R. A. L. 

 Mth. S. P. 13 (1881-82) 148-. 



, construction by points and tangents. 

 Ocagne, M. d'. N. A. Mth. 11 (1892) 386-. 



, 13 degenerate forms and fundamental 



numbers of. Schubert, H. C. H. Gott. Nr. 



(1875) 359-. 

 , properties. Drasch, H. Mh. Mth. Ps. 



4 (1893) 81-. 

 cyclic. Andreasi, A. G. Mt. 30 (1892) 



241- . 

 degeneration. Taylor, H. M. L. Mth. S. P. 



28 (1897) 545-. 

 equianharmonic. Scott, (Miss) C. A. Mess. 



Mth. 25 (1896) 180- . 

 and hyperboloid, various theorems. Oeking- 



haus, E. Arch. Mth. Ps. 70 (1884) 370-. 

 inflecting on crossing their asymptotes. Morley, 



F. Mess. Mth. 17 (1888) 51-. 

 locus of foci of tangential pencil of conies. 



Schroter, H. [1871] Mth. A. 5 (1872) 50-. 

 . Durege, H. [1871] 



Mth. A. 5 (1872) 83-. 



whence 2 lines subtend equal angles. 

 Hermes, O. Crelle J. Mth. 97 (1884) 177-. 



. Schoute, P. H. Crelle 



J. Mth. 99 (1886) 98-. 

 16-point, of triangle. Thomson, F. D. [1864] 



Mess. Mth. 3 (1866) 15-. 

 related to 2 circles. Mention, J. [1859] St 



Pet. Ac. Sc. Bll. 1 (1860) 233-. 

 through vertices of complete quadrilateral. 



Roberts, S. [1861] QJ. Mth. 5 (1862) 54-. 

 . Roberts, M. QJ. Mth. 5 



(1862) 365-. 

 and 4th class, "evolution" in. Weyr, E. J. 



Brux. Ac. Bll. 49 (1880) 7-. 



532 



Curves, 3rd and 4th degrees. 



application of conic section coordinates. 



Oppenheimer, H. Arch. Mth. Ps. 13 (1895) 



84-. 

 circular. Czuber, E. Z. Mth. Ps. 32 (1887) 



257-. 

 , mechanical description. Roberts, S. L. 



Mth. S. P. 2 (1869) 125-. 



Curves, 4th degree. 



apolar to conies. Grassi, A. G. Mt. 38 (1900) 



244-. 

 arising from quadratic transformation of conic. 



Leuch, A. Bern Mt. (1889) 1-. 

 Caporali's quartic. Ciani, E. Nap. Ed. 35 



(1896) 126-. 



case. Jefdbek, V. Mathesis 19 (1899) 15-. 

 central, axes of symmetry. Schiff, V. 0. 



Kharkov Mth. S. Com. 3 (1893) 163- ; 



Fschr. Mth. (1892) 600. 

 circular. Casey, J. [1867] Ir. Ac. T. 24 



(1871) 457-. 



. Cayley, A. Phil. Trans. 167 (1877) 441-. 

 . Loria, G. QJ. Mth. 22 (1887) 44-. 

 , with collinear foci. Jeffery, H. M. [1880- 



83] L. Mth. S.P. 12 (1880-81) 17-; 14(1882- 



83) 239-. 

 , confocal. Franklin, F. Am. J. Mth. 12 



(1890) 323-. 

 , , and "cyclides", analogy to Ivory's 



theorem. Dixon, A. L. L. Mth. S. P. 24 



(1893) 306-. 

 , construction. Cayley, A. L. Mth. S. P. 



5 (1874) 29-. 

 , "cyclics" and "cyclides", generation. 



Saltel, L. Par. S. Mth. Bll. 3 (1875) 95-, 



99-. 

 , , foci. Saltel, L. Par. S. Mth. Bll. 3 



(1875) 100-. 

 , and "cyclides", curves connected with 



double normals of. Smyly, J. G. [1899] 



Ir. Ac. P. 5 (1898-1900) 370-. 

 , double foci of, and nodal focal curves of a 



cyclide. Lachlan, R. L. Mth. S. P. 27 



(1896) 71-. 

 , with double point, description. Cayley, A. 



[1870] L. Mth. S. P. 3 (1869-71) 100-. 

 , 3 double points and surface of elasticity. 



Saltel, L. Brux. Ac. Bll. 35 (1873) 46-. 

 , focal conies. Hart, H. L. Mth. S. P. 11 



(1879-80) 143-. 

 , geometrical treatment. Purser, F. B. A. 



Ep. (1878) 465. 

 , mechanical description. Hart, H. L. 



Mth. S. P. 14 (1882-83) 199-. 

 , proofs of theorems by elementary geometry. 



Crone, C. (xn) Ts. Mth. 3 (1879) 81-. 

 , properties. Crofton, M. W. [1867] L. 



Mth. S. P. 2 (1869) 33-. 

 , property. Jessop, C. M. QJ. Mth. 23 



(1889) 371-. 

 , quadritangential conies. Richter, O. Z. 



Mth. Ps. 35 (1890) (Suppl.) Ill pp. 

 and skew, theorem. Lachlan, R. [1890] 



L. Mth. S. P. 21 (1891) 274-. 

 , special involution of 4th order applied to. 

 La Gournerie, J. de. C. E. 66 (1868) 832-. 



