7210 



Triangles and related Conies 



7210 



Conies related to triangle. Tucker, R. Edinb. 



Mth. S. P. 12 (1894) 51-. 

 . Neuberg, J. Mathesis 15 (1895) 



60-. 

 , system. Neuberg, J. Mathesis 



16 (1896) 164-. 



, systems. Third, J. A. Edinb. 



Mth. S. P. 17 (1899) 99-. 



of symmetry. Hain, E. [1875] Arch. Mth. 

 Ps. 59 (1876) 83-. 



Conjugate triangle and circum-circle, Faure 



and Painvin's theorems, proofs. Serret, P. 



N. A. Mth. 20 (1861) 77-. 

 , Faure's theoi-em. Ccizamian, A. 



N. A. Mth. 13 (1894) 324-. 

 , -and parallel curves. Salmon, 



G. N. A. Mth. 19 (1860) 345-. 

 Harmonic conic of triangle, Cay ley's extension 



of Pollock's theorem. Ferrers, N. M. QJ. 



Mth. 1 (1857) 175-. 



Hyperbola, Feuerbach's. Mandart, . Ma- 

 thesis 13 (1893) 81-. 

 , Kiepert's. Cosserat, . As. Fr. C. E. 



(1887) (Pt. 1) 175. 



, . M'Cay, . Mathesis 7 (1887) 208-. 

 , . Neuberg, J. Mathesis 12 (1892) 241-. 

 , , asymptotes. Laisant, C. A. As. Fr. 



C. B. (1887) (Pt. 2) 113-. 

 Hyperbolas, ' ' adjoint. ' ' Schiappa Monteiro, A . 



Lisb. J. Sc. Mth. 5 (1898) 213-. 

 In- and circum-ellipse, content. Greiner, M. 



Z. Mth. Ps. 29 (1884) 222-. 

 circum-triangle. Cayley, A. QJ. Mth. 



3 (1860) 157-. 

 In-conics and circum-conics, theorem of Steiner. 



Terquem, O. N. A. Mth. 4 (1845) 480-. 

 , if Gergonne's point traverse a circum-conic, 



in-conic touches polar of point with respect 



to circum-conic. Krahe, A. Fschr. Mth. 



(1900) 583. 



passing through fixed point, locus of centres 

 is a conic, etc., theorem of Faure. Intrigila, 

 C., d- Laudiero, F. G. Mt. 19 (1881) 245-. 



, reciprocal trilinear substitution . Cayley , A . 



QJ. Mth. 4 (1861) 131-. 

 , Steiner's theorem, proof. Serret, P. N. A. 



Mth. 8 (1849) 453-. 

 In-ellipse, maximum. Schumacher, H. C. 



Zach M. Cor. 22 (1810) 499-. 

 , . Moesta, C. W. Grunert Arch. 8 (1846) 



59. 

 , , of triangle and of quadrilateral. Pfaff, 



J. F. Zach M. Cor. 22 (1810) 223-. 

 In- and e-scribed circles and conies. Muller, A . 



Arch. Mth. Ps. 10 (1891) 300-. 

 In- or circum-conic. Stuyvaert, . Mathesis 



17 (1897) 63-, 81-. 



circum-conics. Genocchi, A. Tortolini 



A. 3 (1852) 370-. 



. Battaglini, G. Nap. Ed. 1 (1862) 



In- or circum-conics of triangles and quadri- 

 laterals. Helhcig, C. Erfurt Ak. Jb. 20 

 (1894) 293-. 



self -con jugate with respect to 



given conic. Tarry, A. F. Mess. Mth. 10 

 (1881) 161-. 



circum-triangle, perpendiculars, theorems. 



Salmon, G. QJ. Mth. 5 (1862) 362-. 

 In-triangle. Aitbertin, . Crelle J. 45 (1853) 



246-. 

 , equilateral. Wasserschleben, (Maj.) von. 



Arch. Mth. Ps. 57 (1875) 302-. 

 , maximum, of ellipse, and converse problem. 



Hansen, C. Mth. Ts. 4 (1862) 102-. 

 , equilateral, of ellipse. Spiller, . Mth. 



Misc. 1 (1838) 10-. 



with sides, 2, through fixed points, theorem 

 of Poncelet. Serret, P. N. A. Mth. 7 (1848) 

 196-. 



through given points. Clausen, T. 



Crelle J. 7 (1831) 55-. 



In-triangles of ellipse. MacCullagh, J. N. A. 

 Mth. 9 (1850) 296-. 



(MacCullagh's theorem, analytical 

 proof). Mister, J., d- Neuberg, . N. A. 

 Mth. 4 (1865) 458-. 



, with centroid at given point. Piuma, 



C. M. G. Mt. 23 (1885) 20-. 



circumscribed to concentric circle. 

 Barisien, E. Mathesis 19 (1899) 224-, 247-, 

 269- ; 20 (1900) 84-, 113-, 136-. 



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



Ps. 47 (1867) 462-. 

 , Steiner's " Gegenpuncte," determined by 



two. Staudt, G. K. C. von. [1862] Crelle J. 



62 (1863) 142-. 

 , theorems. Terquem, O. N. A. Mth. 2 



(1843) 186- ; 4 (1845) 432. 

 Locus problem. Neuberg, J., & Schoute, P. H. 



As. Fr. C. E. (1891) (Pt. 2) 168-. 

 Parabola touching 3 sides of triangle. Colt-man, 



W. B. Camb. andDubl. Mth. J. 7 (1852) 137-. 

 Parabolas connected with a triangle, three. 



Brocard, H. Mntp. Ac. Mm. 11 (1892) 51-. 

 -. , . Mandart, . Mathesis 



13 (1893) 10-. 

 , . Tucker, R. Edinb. Mth. 



S. P. 12 (1894) 79-. 

 , . Arillez, J. F. de (Visconde 



de Reguengo). G. Teix. J. Sc. 12 (1895) 137- ; 



Fschr. Mth. (1895) 677 ; As. Fr. C. E. (1897) 



(Pt. 2i 133-. 

 , . Neuberg, J. Mathesis 18 



(1898) 131-. 

 Theorems. Steiner, J. Gergonne A. Mth. 19 



(1828-29) 37-. 



on triangles, circles and conies. Lemoine, E. 

 As. Fr. C. E. (1900) (Pt. 2) 79-. 



Triangle formed by arcs of 3 conies or confocal 

 parabolas, Eoberts's theorems. Terquem, 0. 

 N. A. Mth. 7 (1848) 397-. 



having .double contact with fixed , , proof. 



conic. Weyr, E. Prag Sb. (1869) (pt. 2) 5-. 

 , system. Spijker, N. C. Mathesis 



15 (1895) 105-. 

 , systems, "descriptive" centres and 



lines of. Reggio, Z. Yen. I. At. 8 (1881-82) 



Serret, P. N. A. Mth. 9 (1850) 320-. 



moving with two of its angles on fixed 

 straight lines, locus of vertex. Stegmann, F. 

 Grunert Arch. 7 (1846) 64-. 



in plane of conic. Terquem, 0. N. A. Mth. 

 4 (1845) 419-. 



498 



