7210 Normals 



Grunert, J. A. Grunert Arch. 32 (1859) 



129-. 



Cremona, L. [1864] Mess. Mth. 3 (1866) 88-. 

 Eckardt, F. E. Z. Mth. Ps. 11 (1866) 311-. 

 Geiser, C. F. Crelle J. 65 (1866) 381-. 

 Weyr, E. Z. Mth. Ps. 16 (1871) 440-. 

 Roberts, S. [1877] L. Mth. S. P. 9 (1877-78) 



65-. 

 Gohierre de LongcJiamps, . As. Fr. C. R. 7 



(1878) 49-. 

 PeliSek, M. Prag Sb. (1883) (Mth. Vortr.) 



126-. 



Engler, E. A. St Louis Ac. T. 8 (1898) 137-. 

 Lean, . Par. S. Phlm. Bll. 2 (1900) 74-. 

 Apollonius, problem of, Legendre's solution. 



Drobisch, M. W. Leip. B. 8 (1856) 103-. 

 , -, . Mobius, A. F. Leip. B. 8 



(1856) 113-. 

 Construction. Martynowski, J. Liege Mm. S. 



Sc. 4 (1847) 1-. 

 , geometrical. Painvin, L. N. A. Mth. 9 



(1870) 348-. 

 Ellipse, normals. Lauennann, C. [1880] 



Wien Ak. Sb. 83 (1881) (Ab. 2) 92-; Z. 



Mth. Ps. 26 (1881) 387-. 

 , . Anglin, A. H. Edinb. Mth. S. P. 15 



(1897) 70-. 

 , , and equation of 4th degree, two cases. 



Waille, J. [1873] (xn) Doubs S. Mm. 8 



(1874) 52-. 

 , , Fregier's theorem, etc. Guimaraes, E. 



As. Fr. C. R. (1893) (Pt. 2) 89-. 

 , , problem. Pelz, C. Wien Ak. Sb. 95 



(1887) (Ab. 2) 481-. 

 , , . Laueniiann, C. Wien Ak. Sb. 98 



(1890) (Ab. 2a) 318-. 

 , , of complete ellipse. Pelz, C. Wien 



Ak. Sb. 96 (1888) (Ab. 2) 387-. 

 , , property. Bdklen, 0. N. A. Mth. 17 



1858) 356-. 

 , , theorems. Weill, M. N. A. Mth. 20 



(1881) 73-, 110-. 

 Fregier point. Gerard, G. Mathesis 19 (1899) 



136-. 

 Hyperbola, normals, problem. Lauennann, K. 



Wien Ak. Sb. 107 (1898) (Ab. 2a) 861-. 

 Joachimsthal's circle, equation. Guimaraes, 



R. Fschr. Mth. (1900) 586. 



theorems on normals, etc. Laguerre, E. 

 Par. S. Mth. Bll. 5 (1877) 92-. 



Normals common to 2 conies. Tucci, F. P. 

 [1814] (xn) Nap. S. Pont. At. 4 (1847) 

 253-. 



from point to conic. Laguerre, E. C. R. 

 84 (1877) 181- ; Par. S. Mth. Bll. 5 (1877) 

 30-. 



, construction. Joachimsthal, F. 



Crelle J. 48 (1854) 377-. 

 , . Grunert, J. A. Arch. Mth. 



Ps. 43 (1865) 26-. 

 , (Joachimsthal). Pelz, C. 



Prag Sb. (1895) (Mth.-Nt.) No. 20, 4 pp. 

 Parabola, normal chords. Ocar/tie, M. d'. 



N. A. Mth. 15 (1896) 274-. 

 , normals, problem. Zahradnik, K. Prag 



Sb. (1879) 98-. 

 Problem. Pelz, C. Wien Ak. Sb. 85 (1882) 



(Ab. 2) 169-. 



Properties of Conies 



Parabola 7210 



Problem. Mertens, F. Wien Ak. Sb. 98 (1890) 



(Ab. 2a) 431-. 

 . Schoute, P. H. Wien Ak. Sb. 98 (1890) 



(Ab. 2a) 1519-. 

 . Schiappa Monteiro, A. [1900] Lisb. J. 



Sc. Mth. 6 (1902) 65-. 

 Properties, three. Zampieri, J. Grunert Arch. 



32 (1859) 319-. 



Orthotomic circle, Salmon's equation. Cayley, 



A. QJ. Mth. 1 (1857) 242-. 

 Osculating circle, construction. Pliicker, J. 



Gergonne A. Mth. 17 (1826-27) 69-. 



circles of conies. Zimmermann, J. Arch. 

 Mth. Ps. 70 (1884) 30-. 



ellipse, 3, theorem of Steiner. 

 Joachimstlial, F. Crelle J. 36 (1848) 95-. 



conies. Dewulf,E. Mathesis 10 (1890) 55-. 

 , certain. Jonquieres, E. de. N. A. Mth. 



4 (1865) 504-. 

 Osculation. Olivier, T. [1838] Par. S. Phlm. 



PV. (1838) 65-; Liouv. J. Mth. 4 (1839) 189-. 

 , triple. Zahradnik, K. Arch. Mth. Ps. 69 



(1883) 419-. 

 Pappus's problem and conies. Brandli, H. 



Grunert Arch. 38 (1882) 1-. 



theorem generalised. Folie, F. Brux. Ac. 

 Bll. 28 (1869) 87-. 



Parabola. 



Meray, C. N. A. Mth. 13 (1854) 41-. 

 Washington, R. B. Mess. Mth. 5 (1871) 95-, 



166-. 

 Apollonian parabola, inscription of circle in. 



Frigelius, A. Stockh. Ak. Hndl. 28 (1807) 



229-. 

 Arc in terms of chord and sagitta. Portet, . 



(vni) A. Cond. Pon. Chauss. 3 (1859) 121-. 

 Area of parabolic sectors, Lambert's theorem. 



Grunert, J. A. Crelle J. 16 (1837) 21-; 



Grunert Arch. 16 (1851) 439-. 

 triangle formed by chord and 2 secants. 



Dostor, G. Arch. Mth. Ps. 53 (1871) 100-. 

 Chord, common, of parabola and its circle of 



curvature. Graves, R.H. A. Mth. 3 (1887) 50. 

 Circle of curvature. Mack, L. Arch. Mth. Ps. 



61 (1877) 385-. 

 Co-normal points of parabola. Tucker, R. 



Edinb. Mth. S. P. 13 (1895) 29-. 



, some properties. Tucker, R. 

 [1890] L. Mth. S. P. 21 (1891) 442-. 



Construction from 4 conditions. Coste, L. M. P. 



Gergonne A. Mth. 8 (1817-18) 261-. 

 given points and tangents. Koutny, E. 



Wien Sb. 63 (1871) (Ab. 2) 760-. 



through 4 points. Umpfenbach, (Dr) . 

 Crelle J. 26 (1843) 183- . 



Differential curve, polo-conic of 2nd degree. 



Hochheim, A . Arch. Mth. Ps. 57 (1875) 234-. 

 Miquel-Clifford theorem concerning parabolas 



touching three given lines, analogues. 



Serret, P. C. R. 123 (1896) 415-. 

 Miquel's theorem, demonstration. Clifford, 



W. K. Mess. Mth. 5 (1871) 124-. 

 , (Clifford). Ferrers, N. M. Mess. 



Mth. 5 (1871) 204-. 



491 



