6810 



Planimetry. Quadrature of Circle 



6810 



Polars of points with respect to two circles, 



theorem. Ploix, E. N. A. Mth. 8 (1849) 



152-. 

 . , . Gentil, . N. A. 



Mth. 8 (1849) 290-. 

 Pothenot's problem. Vieth, G. U. A. Gilbert 



A. 54 (1816) 311-. 

 . Grunert, J. A. Arch. Mth. Ps. 44 



(1865) 184-. 



. Ldska, V. Prag Sb. (1895) (Mth.-Nt.) 

 No. 17, 5 pp. 



, algebraic aspect. ScM&milch, 0. Z. Mth. 



Ps. 9 (1864) 433-. 

 , analytical solution. Grunert, J. A. 



Grunert Arch. 1 (1841) 446-. 

 , . Fellini, D. Tor. Ac. Sc. At. 32 



(1896) 214- or 320-. 

 , theory of errors in. Andrce, . As. 



Nr. 47 (1858) 193-. 



Properties. Babbage, C. QJ. Sc. 1 (1816) 6-. 

 . Laguerre, E. N. A. Mth. 2 (1883) 65-. 

 , Grassmann's " Ausdehnungslehre " applied 



to. Cox, H. QJ. Mth. 25 (1891) 1-. 

 Property. August, E. F. Crelle J. 17 (1837) 



387-. 

 . Grunert, J. A. Grunert Arch. 1 (1841) 



440- ; 3 (1843) 259-; 25 (1855) 231-. 



(Grunert). G'opel, A. Grunert Arch. 3 

 (1843) 403-. 



. Darboux, G. C. R. 94 (1882) 1108-. 



, mechanical. Rispal, A. Liouv. J. Mth. 



12 (1847) 225-. 

 Ptolemy's and Feuerbach's relations. Krah6, 



A. Mathesis 18 (1898) 83-. 



problem, application to astronomy. Hill, 

 G. W. [1900] As. J. 21 (1901) 33-. 



theorem. Oppermann, L. H. F. (xn) Ts. 

 Mth. 1 (1871) 55-, 124-. 



, converse. Gerwien, . Crelle J. 11 

 (1834) 264-. 



, demonstration. Schnell, (Dr.) . Arch. 



Mth. Ps. 67 (1882) 225-. 

 , inversion. Forstemann, W. A. Crelle 



J. 13 (1835) 233-. 

 , . Strehlke, F. Grunert Arch. 2 (1842) 



323-. 

 leads to Wallis's and others. Fergola, N. 



Nap. At. Ac. 1 (1819) 205-. 



Quadrature of the Circle. 



Delanges, P'. At. Ac. It. 1 (1810) 157-. 

 Anon, (vi 215) Bb. Un. 3 (1816) 221-. 

 Anon, (vi 1171) Thomson A. Ph. 8 (1816) 



13-. 



Bitnicz, L. Evk. 2 (1832) 151-. 

 Lambert, C. J. N. A. Mth. 12 (1853) 298-. 

 Scheffler, H. Arch. Mth. Ps. 44 (1865) 84-. 

 Pelndf, M. Casopis 6 (*1877) 89-; Fschr. Mth. 



(*1877) 406-. 

 approximate construction. Boswell, J. W. 



Nicholson J. 10 (1805) 151- ; 13 (1806) 



(Boswell). Gough, J. Nicholson J. 11 



(1805) 29-. 

 . Willich, C. M. R. S. P. 7 (1854-55) 



379. 



approximate method. Anon, (n 312) Crelle J. 



32 (1846) 91-. 

 approximations. Anon, (vi 275) Camb. and 



Dubl. Mth. J. 7 (1852) App. 1-. 

 . Oiase, P. E. Franklin I. J. 78 (1879) 45, 



105 ; 79 (1880) 409- ; 81 (1881) 379. 

 arithmetical. Hill, C. J. D. Stockh. Ak. 



Hndl. (1854) 405-. 

 elementary. Schlomilch, 0. Grunert Arch. 



14 (1850) 101-. 

 Franco of Liege's "De Quadratura Circuli." 



Winterberg, C. Z. Mth. Ps. 27 (1882) (Sup2>l.) 



135-. 

 historical notes, and proof of impossibility. 



Studnicka, F. J. Casopis 1 (*1872) 35-; 



Fschr. Mth. (*1872) 254. 

 , . Radio, F. Ziir. Vjschr. 



35 (1890) 1-. 

 impossibility. Caluso, (Vabbe) T. V. de. [1801] 



Mod. Mm. S. It. 9 (1802) 558-. 

 . Rouche, E. N. A. Mth. 2 (1883) 5-. 

 and rectification. Ruffini, P. [1801] Mod. S. 



It. Mm. 9 (1802) 527-. 

 . Grunert, J.A. Grunert Arch. 6 (1845) 



90-. 

 , approximate. Specht, C. G. Crelle J. 



3 (1828) 83, 405- ; N. A. Mth. 4 (1845) 495-. 

 , graphic method. Schramm, A . Dingier 



226 (1877) 17-. 

 impossible. Snart, J. Tilloch Ph. Mg. 



62 (1823) 338-. 

 Viete (Francois) and his work. Ritter, F. As. 



Fr. C. R. (1879) 143-. 



Radical and anti-radical circles. Durdn Loriga, 

 J. J. G. Teix. J. Sc. 13 (1897) 33- ; Fschr. 

 Mth. (1896) 398. 



circles. Durdn Loriga, J. J. G. Teix. J. 

 Sc. 12 (1895) 97-; Mathesis 16 (1896) 105- ; 

 Arch. Mth. Ps. 15 (1897) 117-, 232-. 



Ratio of Diameter to Circumference. 

 (See also 2920.) 



Lefaucheux, . [1811] Le Mans S. R. Tr. 



(1820) 19-. 

 Gergonne, J. D. Gergonne A. Mth. 6 (1815-16) 



192- ; 17 (1826-27) 148-. 

 Leger, E. Quetelet Cor. Mth. 9 (1837) 479-. 

 Lehmann, J. W. H. Grunert Arch. 21 (1853) 



121-. 

 Didion, [(le gen.) I.]. C. R. 74 (1872) 36-; 



(xn) Metz Ac. Mm. 53 (1873) 257-. 

 (Didion.) Catalan, E. C. C. R. 74 (1872) 177. 

 Lindemann, C. L. F. C. R. 95 (1882) 72-. 

 Sang, E. Edinb. R. S. P. 15 (1889) 348-. 

 Approximate construction. Grassmann, H. 



Arch. Mth. Ps. 49 (1869) 1-. 

 Approximation. Herrifield, C. W. Mess. Mth. 



3 (1866) 105. 

 Calculation, and circular series. Ma-zzola, G. 



G. Mt. 2 (1864) 92-, 110-. 



to 8 decimal places. Drach, S. M. Ph. 

 Mg. 27 (1864) 318-. 



200 . Dahse [or Dase], Z. Crelle 



J. 27 (1844) 198; N. A. Mth. 9 (1850) 12-; 

 10 (1851) 198. 



434 



