6810 



Planimetry. Triangles and Connected Circles 



6810 



Polar circle, and Feuerbach's theorem, note on 



theorems. Roberts, S. Mess. Mth. 17 (1888) 



57-. 

 Relations of circle and triangle. Hain, E. 



[1876] Arch. Mth. Ps. 60 (1877) 78-. 

 Kings of circles connected with triangle. 



Taylor, W. W. L. Mth. S. P. 20 (1889) 397-. 

 " Scribed " circles, six, and triangle. Mackay, 



J. S. [1883] Edinb. Mth. S. P. 1 (1894) 



4-, iv. 

 "Sine-triple-angle" circle (Tucker's circle). 



Tucker, R. Mess. Mth. 16 (1887) 125-. 

 Six circles and triangle. Evans, A. B. Des 



Moines Anal. 1 (1874) 189-. 



Geometry of triangle, history. Fuhrmann, . 



Konigsb. Schr. 40 (1899) [37]-. 

 Harmonic hexagon of a triangle. Casey, J. 



[1886] Ir. Ac. P. 4 (1884-88) 545-. 

 triangle. Henry, C. Bll. Sc. Mth. As. 5 



(1881) 96-. 

 Homologous triangles. Neuberg, J. Mathesis 



18 (1898) 155-. 

 In-triangle of circle with sides passing through 



fixed points, construction, etc. Giordano di 



Ottaiano, A. Verona Mm. S. It. 4 (1788) 



given form in given triangle. Allardice, 



R. E. Edinb. Mth. S. P. 9 (1891) 39-. 



point circle. Taylor, H. M. Mess. Mth. 11 , inscription. Jenkins, M. 



Casey, J. QJ. Mth. 4 

 Prag Sb. (1875) 



(1882) 177-. 

 , properties. 



(1861) 245-. 

 Theorems. SallabaSev, I. 



66-. 

 Tucker-circles, secondary. Griffiths, J. [1892] 



L. Mth. S. P. 24 (1893) 121-. 

 or triplicate-ratio circles. Tucker, R. QJ. 



Mth. 19 (1883) 342-. 

 , group analogous to. Tucker, R. 



QJ. Mth. 20 (1885) 57-. 

 . and others. Tucker, R. Edinb. 



Mth. S. P. 12 (1894) 17-. 

 , properties. Tucker, R. L. Mth. 



S. P. 25 (1894) 389-. 

 , systems analogous to. Third, 



J.A. Edinb. Mth. S. P. 17 (1899) 70-. 



Circum-triangle on sides of triangle, construc- 

 tion for vertices. Clausen, T. Crelle J. 4 

 (1829) 391-. 



Construction from radii of ex-circles. Griison, 

 J. P. (vi Adds.) Berl. Ab. (1818-19) (Mth.) 

 37. 



Correlation. Callegari,P. [1843] Bologna Mm. 

 Ac. 4 (1853) 179-. 



Covariant geometry. Morley, F. QJ. Mth. 25 

 (1891) 186-. 



Dissection of triangles. Muirhead, R. F. 

 Edinb. Mth. S. P. 18 (1900) 5-, 100. 



Division. Weiss, C. S. Berl. Ab. (1826) 93-. 



. Dienger, J. Grunert Arch. 17 (1851) 300-. 



in given ratio. Catalan, E. C. N. A. Mth. 

 4 (1845) 214-. 



Equilateral triangles. Hain, E. [1882] Arch. 



Mth. Ps. 69 (1883) 44-. 

 on sides of triangle, theorem. Tucker, R. 



Edinb. Mth. S. P. 15 (1897) 98-. 

 Euler's line and circle. Gob, A. Liege S. Sc. 



Mm. 16 (1890) No. 2, 7 pp. 



, hyperbola inverse to. Jefdbek, . 

 Mathesis 8 (1888) 81-. 



, . Neuberg, J. Mathesis 8 (1888) 



84-, 115-. 



, . Fuhrmann, . Mathesis 8 

 (1888) 115-. 



Formulae. Catalan, E. Brux. Mm. Cour. 8, 



44 (1891) No. 4, 28 pp. 

 Geometry of triangle, bibliography. Vigarie, E. 



As. Fr. C. E. (1895) (Pt. 2) 50-. 

 , history. Vigarie, E. As. Fr. C. E. 



(1887) (Pt. 2) 87-; (1889) (Pt. 2) 117-. 



QJ. Mth. 21 (1886) 84-. 



, . Allardice, R. E. 



Edinb. Mth. S. P. 6 (1888) 42-. 



least perimeter in triangle. Lindeldf, 

 L. L. Helsingf. Ofv. 10 (1868) 31-; 11 

 (1869) 35-. 



, maximum equilateral, in given triangle. 

 Malfatti, G. F. [1806] Mod. S. It. Mm. 13 

 (1807) 247-. 



of similar triangle, inscription. Hoffmann, 

 H. Grunert Arch. 9 (1847) 280-. 



In-triangles of circle, special system. Strnad, 

 A. Casopis 24 (1895) 136- ; Fschr. Mth. 

 (1895) 576-. 



in given triangle, group, etc. Tucker, R. 

 [1892] L. Mth. S. P. 24 (1893) 131-. 



Inversion of system of n points, application to 



Ble. Laisant, C. A. As. Fr. C. E. 

 (Pt. 2) 282-. 

 centres. Mackay, J. S. Edinb. Mth. 

 S. P. 15 (1897) 100-. 



corresponding points. Hain, E. [1876] 

 Arch. Mth. Ps. 60 (1877) 92-. 



systems in the triangle. Barbarin, P. As. 

 Fr. C. E. (1896) (Pt. 2) 89-. 



Isogonals of triangle. Mackay, J. S. Edinb. 



Mth. S. P. 13 (1895) 166-. 

 Isoperimetrical triangles having one side 



given and satisfying 3 other conditions. 



Chasles, M. C. E. 84 (1877) 471-, 627-, 



1051-. 



t series satisfying 4 other conditions. 

 Chasles, M. C. E. 84 (1877) 55-. 



Isosceles triangle, property. Lange, T. Grunert 



Arch. 13 (1849) 337-; 15 (1850) 221-, 



351-. 

 to be proved isosceles when bisectors of 



base angles are equal. Sylvester, J. J. Ph. 



Mg. 4 (1852) 366-. 

 triangles. PeliSek, M. Casopis 26 (1897) 



181- ; Fschr. Mth. (1897) 442. 

 , problems. Schiappa Monteiro, A. Lisb. 



J. Sc. Mth. 12 (1888) 57-, 121-. 

 Isoscelian hexagrams. Tucker, R. [1889] L. 



Mth. S. P. 21 (1891) 4-. 

 Isoscelians. Tucker, R. [1888-91] L. Mth. 



S. P. 19 (1889) 163- ; 22 (1891) 178-. 

 Isostereans, group. Tucker, R. L. Mth. S. P. 



19 (1889) 218-. 

 Least perimeter, triangle of, etc. Gregory, 



D. F. (vi Adds.) Camb. Mth. J. 1 (1839) 



157-. 



445 



