7610 



Algebraic Plane Curves of Higher Degree 



7610 Metrical and projective 

 properties of algebraic plane 

 curves of degree higher than 

 the second. (See also 8030, 

 8075, 8430.) 



Bergsten, N. J. Stockh. Ac. Hndl. 34 (1813) 



22-. 

 Le Frangois, (Prof.) . Quetelet Cor. Mth. 6 



(1830) 315-. 



Eeiss, M. Quetelet Cor. Mth. 9 (1837) 249-. 

 Steiner,J. [1848] Berl. B. (1848) 310- ; Crelle 



J. 47 (1854) 1-. 



Terquem, 0. N. A. Mth. 9 (1850) 283-. 

 Schwarz, F. S. H. [1856] Halle Ab. Nt. Vr. 



1 (1860) 149-. 



Woepcke, F. Crelle J. 53 (1857) 260-. 

 Steen, A. Mth. Ts. 1 (1859) 65-. 

 Beltrami, E. G. Mt. 4 (1866) 76-. 

 Olivier, A. [1868] Crelle J. 70 (1869) 156-. 

 Laguerre, E. (x) Par. S. Phlm. Bll. 5 (1868) 



112- ; 7 (1871) 241- ; C. E. 80 (1875) 



1218-. 



Azzarelli, M. Bm. N. Line. Mm. 8 (1892) 7-. 

 Michell, J. H. Aust. As. Bp. (1892) 257. 

 Algebraic curve cannot have 'point d'arret.' 



Serret, P. N. A. Mth. 4 (1865) 311-. 

 Anallagmatic curves and surfaces, application 



of general properties of curves. Laguerre, E. 



(x) Par. S. Phlm. Bll. 5 (1868) 112-. 

 Analytical geometry, new method. Story, 



W. E. Am. J. Mth. 9 (1887) 38-. 

 Anharmonic curves. Bioche, C. Par. S. Phlm. 



Bll. 5 (1893) (C. R.) (No. 10) 2. 

 Asymptote is always tangent to 2 parts of the 



curve, proof. Terquem, 0. N. A. Mth. 8 



(1849) 288-. 

 Asymptotes. Lentheric, . Gergonne A. Mth. 



17 (1826-27) 79-. 

 . Fournier-Vannson, . N. A. Mth. 2 



(1843) 398-. 

 . Gregory, D. F. Camb. Mth. J. 4 (1845) 



42-. 

 . Serret, P. N. A. Mth. 13 (1854) 144- ; 1 



(1862) 23-. 



. Stolz, 0. Mth. A. 11 (1877) 41-. 

 . Casorati, F. Palermo Cir. Mt. Bd. 3 



(1889) 49-. 

 , curvilinear. Haskell, M. W. [1897] Calif. 



Ac. P. (Mth. Ps.) 1 (1903) 25-. 

 , equations. Casorati, F. Mil. I. Lomb. Bd. 



12 (1879) 117-. 

 , Newton's theorem. Lebesgue, V. A. N. 



A. Mth. 7 (1848) 385-. 

 , , proof, and theorem on multiple 



points. Terquem, 0. N. A. Mth. 7 (1848) 



422-. 

 , property, and points at infinity. Transon, 



A. N. A. Mth. 12 (1873) 289-. 

 , real, to imaginary branches of curves. 



Walton, W. Camb. Mth. J. 2 (1841) 



236-. 

 , rectilinear. Smith, E. B. A. Mth. 1 



(1884-85) 11-, 72. 



7610 



iptotes, rectilinear. Himstedt, A. Arch. 

 1th. Ps. 12 (1894) 357-. 

 Asymptotic curves. Serret, J. A. N. A. Mth. 



6 (1847) 217-. 

 points, theory. Schi/ner, F. Arch. Mth. 



Axes, conditions that curve may have given 

 number. Mangeot, S. Par. S. Mth. Bll. 

 25 (1897) 54-, 268. 



, harmonic. Chasles, M. C. B. 73 (1871) 

 229-, 1241-, 1289-, 1405- ; 74 (1872) 21-. 



of symmetry, curves with several. St. 

 Germain, A. de. N. A. Mth. 19 (1880) 

 350-. 



Bicursal curves. Cayley, A. L. Mth. S. P. 4 



(1871-73) 347-. 

 Bifocal curves. Onnen, H. N. Arch. Wisk. 



17 (1890) 77-. 

 Bitangential curve. Heal, W. E. Des Moines 



Anal. 8 (1881) 171-. 

 Bitangents. Cayley, A. Phil. Trans. (1859) 



193-. 

 . Holditch,H. QJ. Mth. 3 (1860)289-; 4 



(1861) 28-. 

 . Eetali, V. [1890] Bologna Bd. (1890- 



91) 35-. 

 . Dowling, L. W. [1897] N. Y. Am. Mth. 



S. Bll. 4 (1898) 2, 4. 



with coordinates rational functions of a 

 parameter, number. Schwering, K. Z. 

 Mth. Ps. 21 (1876) 130- . 



, determination of points of contact. Salmon, 



G. QJ. Mth. 3 (1860) 317-. 

 Boundary curves, envelope of 



xn + ym = mn (m? + P = s*>) . 



Meyer, C. W. Arch. Mth. Ps. 16 (1898) 



150-. 

 Branches of curves, number. Harnack, A. 



Mth. A. 10 (1876) 189-. 

 , imaginary, associated with possible magni- 

 tudes. Walton, W. [1864] QJ. Mth. 7 



(1866) 232-. 

 , infinite. Haillecourt, A. N. A. Mth. 6 



(1847) 372-. 

 , . Bellavitis, G. [1879] Em. E. Ac. 



Line. Mm. 5 (1880) 43-. 

 ,, forms. Frost, P. QJ.Mth. 3 (1860) 164-. 



and points, imaginary. Loud, F. H. A. 

 Mth. 8 (1893-94) 29-. 



, real. Hilbert, D. Mth. A. 38 (1891) 115-. 

 Carnot's theorem generalised. Gob, A. As. 



Fr. C. B. (1893) (Pt. 2) 258-. 

 Centre of curve. Taylor, H. M. QJ. Mth. 24 



(1890) 55-. 

 . Baker, H. F. QJ. Mth. 24 (1890) 



338-. 

 mean distances. Liouville, J. Liouv. J. 



Mth. 9 (1844) 337-. 

 of points of rational curve. Weill, 



M. Par. S. Mth. Bll. 10 (1882) 137-. 

 , theorem of Newton, generalisation. 



Delens, P. N. A. Mth. 12 (1893) 407-. 

 Centres. Eoguet,C. N. A. Mth. 2 (1843) 210-. 



of harmonic means. Poncelet, J. V. Crelle 

 J. 3 (1828) 213-. 



, 2 theorems. Schoute, P. H. Par. S. Mth. 

 Bll. 10 (1882) 219-. 



517 



