8460 



Integral Calculus. Rectification 



8460 



approximate, of ellipse. Schlomilch, 0. Z.Mth. 

 Ps. 10 (1865) 501-. 



, . Peano, G. C. B. 109 (1889) 960-. 



_, and trochoid. Rankine, W. J. M. 



[1864] Ph. Mg. 29 (1865) 22-. 



of arc of meridian, means of shortening calcu- 

 lation. Puissant. L. C. E. 13 (1841) 53-. 



Cartesian ovals. Roberts, W. Liouv. J. 

 Mth. 15 (1850) 194-. 



. Genocchi, A. C. B. 80 (1875) 112-. 



. Darboux, G. C. B. 87 (1878) 595-, 



741. 



and other curves. Genocchi, A. 

 Mathesis 4 (1884) 49-. 



cassinoid, n foci. Roberts, W. Liouv. J. 

 Mth. 13 (1848) 38-. 



circular unicursal cubics. Longchamps, 

 G. de. C. B. 104 (1887) 964-. 



class of curves of 4th degree. Darboux, G. 

 C. B. 87 (1878) 692-. 



plane curves by elliptic functions. 

 Roberts, W. Liouv. J. Mth. 10 (1845) 177-. 



conies. Hellins, J. Phil. Trans. (1802) 

 448-. 



, geometrical theorems. Maccullagh, J. 



[1830] Ir. Ac. T. 16 (1831) (pt. 2) 79-. 



convex curve, Legendre's formula, general- 

 isation. Cavallin, C. B. 8. Ts. Mth. 2 

 (1884) 147- ; Fschr. Mth. (1884) 623. 



curve cutting generators of cone at constant 

 angle. Turquan, . N. A. Mth. 4 (1845) 

 659-. 



curves. Beverley, T. Tilloch Ph. Mg. 67 

 (1826) 393-. 



. Gill, C. Ph. Mg. 9 (1831) 250-. 



. Dieu, T. N. A. Mth. 12 (1853) 210-. 



. Booth, J. A. Mt. 2 (1868-69) 81-. 



. Schlomilch, 0. Z. Mth. Ps. 15 (1870) 



215. 



. Scheeffer, L. Acta Mth. 5 (1884) 49-. 



, cases. Roberts, W. Liouv. J. Mth. 12 



(1847) 445-. 

 , . Roberts, R. A. [1886] L. Mth. S. P. 



18 (1886-87) 97-. 



, , remarkable. Longchamps, G. de. 

 Mathesis 7 (1887) 127-, 170-. 



, 4th degree, singular case. Sang, E. 



Edinb. B. S. P. 7 (1872) 613-. 

 , difficulty. Poisson, S. D. Par. EC. Pol. 



Cor. 3 (1814-16) 23-. 

 , using projective measurement. Wirtinger, 



W. Mh. Mth. Ps. 5 (1894) 92-. 



cycloid. Peyronny, A. N. A. Mth. 3 (1844) 

 232-. 



. Dainelli, U. (xn) Bv. Sc.-Ind. 13 



(1881) 369-. 



ellipse. Ivory, J. [1796] Edinb. B. S. T. 

 4 (1798) 177-. 



. Wilder, C. Silliman J. 18 (1830) 



38-. 

 . Verdam, G. J. [1851] Amst. Ts. Ws. 



Nt. Wet. 5 (1852) 42-. 

 . Strehlke, F. Grunert Arch. 22 (1854) 



444-. 

 . Grunert, J. A. Grunert Arch. 27 (1856) 



99-; 30 (1858) 213-. 

 . Schlomilch, 0. Schlomilch Z. 6 (1861) 



330-. 



of ellipse. Gaudard, J. A. Gen. Civ. 2 (1873) 



483-. 

 . Williot, V. A. Pon. Chauss. 12 (1896) 



22-. 

 , application of Taylor's theorem. Benz, 



0. Arch. Mth. Ps. 8 (1890) 378-. 

 , calculation, mode. Vaudoncourt, C. F. G. 



de. (vm) A. Cond. Pon. Chauss. 5 (1861)167-. 



, given, table for finding. Vaudoncourt, 

 C. F. G. de. (vm) A. Cond. Pon. Chauss. 

 3 (1859) 252-. 



and hyperbola. Bangma, 0. S. Amst. 



N. Vh. 1 (1827) 55-. 

 . Lobatto, R. Amst. N. Vh. 4 



(1833) 115-. 

 , resultant integrals. Fergola, N. [1828] 



Nap. At. Ac. 4 (1839) 13-. 



elliptic arc. Wallace, (Prof.) W. [1802] 

 Edinb. B. S. T. 5 (1805) 253-. 



by series. Stainville, de. Par. EC. 



Pol. Cor. 2 (1809-13) 429-. 

 arcs. Nieuport, C. F. F. de. Amst. 



Vh. 4 (1818) 171-. 

 . Guimaraes, R. G. Teix. J. Sc. 8 



(1887) 30-; Lisb. J. Sc. Mth. 12 (1888) 133-. 

 by elliptic functions. Ramus, C. Kiob. Ov. 



(1843) 83-; Kiob. Dn. Vd. Selsk. Afh. 12 



(1846) 95-. 

 Fagnanian arcs of ellipse, and 2 corresponding 



arcs of hyperbola. Griffiths, J. (x) L. Mth. 



S. P. 5 (1873-74) 95-. 

 , curves, arcs of which possess same 



property as. Griffiths, J. L. Mth. S. P. 11 



(1879-80) 87-. 

 Fagnano's point. Andrien, . Mathesis 20 



(1900) .105-. 



theorem. Grunert, J. A. Grunert Arch. 

 26 (1856) 198-. 



. Kupper,C. Schlomilch Z. 1 (1856) 363-. 



. Talbot, W. H. F. Edinb. B. S. T. 



23 (1861) 285-. 



. Malmsten, C. J. Schlomilch Z. 8 

 (1863) 306-. 



, analogous theorem on associated ellip- 

 soids. Besge, V. A. Bordeaux Mm. S. Sc. 

 2 (1861-63) 247-. 



. Arcs of conies with rectifiable difference. 



Ghasles, M. C. B. 17 (1843) 838-. 



. . Serret, J. A. 



N. A. Mth. 3 (1844) 425-. 



, and associated points of ellipse. Lebesgue, 



V. A. N. A. Mth. 4 (1845) 573-. 



for any conic. Azzarelli, M. Bm. 

 At. N. Line. 24 (1871) 336-; 25 (1872) 427-. 



, proof. Walker, J. J. L. Mth. S. P. 13 



(1881-82) 172-. 

 on sphere. Enneper, A. Schlomilch Z. 



8 (1863) 231-. 

 , stereometric analogues. Schlomilch, 0. 



Leip. B. 13 (1871) 13-. 

 ; and surface of oblique cylinder, etc. 



Brinkley, J. [1802] Ir. Ac. T. 9 (1803) 145. 

 first, and Torricelli. Loria, G. Bm. B. Ac. 



Line. Bd. 6 (1897) (Sem. 2) 318-. 

 and Fontaine's theorem on triangle. Lecointe, 



(Vabbe) . N. A. Mth. 10 (1851) 196-. 

 of geodetic curve. Young, (Dr) T. QJ. Sc. 



21 (1826) 153-. 



628 



