6810 



Planimetry. Triangles 



6810 



Segments of sides by straight line through 



fixed point. Durege, . Grunert Arch. 30 



(1858) 241-. 

 Similar triangles satisfying four conditions, 



number. Cliasles, M. C. E. 78 (1874) 



1599-. 

 , series. Chasles, M. O.K. 78 (1874) 



1373- ; 79 (1874) 877-, 1427-. 

 Similitude of triangles belonging to two series. 



Viaggi, F. G. Mt. 28 (1890) 113-. 

 Simson or Wallace pedal line. Durrande, 



J. B. Gergonne A. Mth. 7 (1816-17) 253-. 

 . Barbarin, P. (xn) Mathesis 



2 (1882) 106-, 122-. 

 . Neuberg, J. J. B. (xn) 



Mathesis 2 (1882) 108-. 

 . Alison, J. Edinb. Mth. S. P. 



3 (1885) 77-. 



. Strnad, A. Casopis 15 (1886) 



114- ; Fschr. Mth. (1886) 471. 

 . Gibson, G. A. Edinb. Mth. 



S. P. 9 (1891) 50-. 

 . Gnittner, A. Arch. Mth. Ps. 



17 (1900) 318-. 

 of cyclic polygon. Quint, N. 



N. Arch. Wisk. 3 (1898) 153-. 

 , extension of Wallace theorem. 



Quint, N. N. Arch. Wisk. 3 (1898) 180-. 



- - , generalisation. Cayley, .4. 

 QJ. Mth. 8 (1867) 264-. 



, , and application to tetra- 

 hedron. Hunyady, E. von. [1865] Z. Mth. 

 Ps. 11 (1866) 64-. 



of polygon. S teg gall, . 



Edinb. Mth. S. P. 14 (1896) 122-. 



, Steiner's theorem generalised. 



Beltrami, E. Bologna Ac. Sc. Mm. 7 (1876) 



241-. 

 and the Wallace point. Mackay, 



J. S. Edinb. Mth. S. P. 9 (1891) 83-. 

 lines. Tucker, E. Edinb. Mth. 



S. P. 14 (1896) 116-. 

 Squares of perpendiculars on sides from a 



point. Grebe, E. W. Grunert Arch. 9 (1847) 



250-. 



Statics and geometry of a triangle. Saint- 

 Germain, A. de. N. A. Mth. 3 (1884) 37-. 

 Steiner theorem on triangle and ellipse. 



Droz-Farny, A. Bern Mt. (1900) 135-. 



theorems, two, and the properties of 

 triangles. Kantor, S. [1877] Wien Ak. Sb. 

 76 (1878) (Ab. 2) 758-. 



Steiner 's^axes and Kiepert's hyperbola. Neu- 

 berg, J., d* Gob, A. As. Fr. C. K. (1889) 

 (Pt. 2) 166-. 



Straight line and triangle, relation. Hain, E. 

 [1875] Arch. Mth. Ps. 59 (1876) 87-. 



Symmedian. Ocagne, M. d\ N. A. Mth. 2 

 (1883) 450- ; 3 (1884) 25- ; 4 (1885) 360-. 



. Azzarelli, M. Em. N. Line. At. 42 (1889) 

 255-. ' 



Symmedians. Mackay, J. S. Edinb. Mth. S. 

 P. 14 (1896) 37-. 



Symmetrical lines in the triangle, and Steiner's 

 curve. Bucking, . Arch. Mth. Ps. 16 

 (1898) 271-, vii-. 



properties. Davies, T. S. Ph. Mg. 2 (1827) 

 26-. 



Symmetrical properties. Dobson, T. B. A. 



Ep. (1861) (Pt. 2) 2-. 

 Theorem of Beltrami. Grunert, J. A, Arch. 



Mth. Ps. 43 (1865) 102-. 

 Mannheim. Catalan, E. Em. N. Line. 



Mm. 6 (1890) 223-. 

 Theorems on triangles, circles and conies. 



Lemoine, E. As. Fr. C. E. (1900) (Pt. 2) 



79-. 

 Transformation. Lemoine, E. Par. S. Mth. 



Bll. 19 (1891) 133-. 

 , continuous. Lemoine, E. As. Fr. C. E. 



(1891) (Pt. 2) 118- ; (1893) (Pt. 2) 132- ; 



Par. S. Mth. Bll. 19 (1891) 136- ; Mathesis 



12 (1892) 58-, 81-, 264. 

 Transformations. Mitirhead, R. F. Edinb. 



Mth. S. P. 13 (1895) 112-, 129-. 



of formulae. Lemoine, E. As. Fr. C. E. 

 (1891) (Pt. 2) 118-. 



Transversal AD through angle A of triangle 



ABC such that AD*=BD . DC. Jelinek, V. 



Casopis 21 (1892) 232-; Fschr. Mth. (1892) 



526. 

 Transversals, equations relating to three. 



Kiechl, J. Arch. Mth. Ps. 12 (1894) 411-. 

 , Matthew Stewart's theorem. Bretschneider, 



C. A. Arch. Mth. Ps. 50 (1869) 11-. 

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



P. 10 (1892) 90-. 

 , properties. Boyman, J. R. Grunert Arch. 



13 (1849) 364-, 378-. 



, reciprocal. Neuberg, . Brux. S. Sc. A. 



24 (1900) (Pt. 1) 119-. 

 , remarkable. Gob, A. Mathesis 18 (1898) 



129-. 

 , . Zimin, M. Fschr. Mth. (1900) 492. 



through a remarkable point, characteristic 

 property. Plamenevsky, J. J. Fschr. Mth. 

 (1891) 599. 



Triangle in which equal transversals cut base 

 angles proportionally. Lange, T. Grunert 

 Arch. 13 (1849) 337-; 15 (1850) 351-. 



. Grunert, J. A. 



Grunert Arch. 13 (1849) 341-. 



. . Mink, W. Grunert 



Arch. 15 (1850) 358-. 



. . Baltzer,R. Grunert 



Arch. 16 (1851) 201-. 



, lemma. August, 



E. F. Grunert Arch. 16 (1851) 259-. 



formed by medians. Grunert, J. A. Arch. 

 Mth. Ps. 46 (1866) 340-. 



pairs of transversals through each 



angle of a triangle. Jelinek, V. Casopis 

 28 (1899) 88-, 145- ; Fschr. Mth. (1899) 

 466. 



and point, sum of whose distances from sides 

 is a minimum. Cohen, A. Camb. and 

 Dubl. Mth. J. 8 (1853) 92-. 



its reciprocal are in perspective, Cayley 's 



proof. Muir, T. Edinb. E. S. P. 20 (1895) 

 298-. 



with side parallel to Euler's line. Avillez, 

 J. F. d' (Vicomte de Reguengo). As. Fr. 

 C. E. (1897) (Pt. 2) 131-. 



Triangles of arcs of circles. Weyr, E. J. 

 [1873] Bll. Sc. Mth. As. 6 (1874) 89-. 



448 



