6810 



Planimetry. Triangles. Remarkable Points 



6810 



Lehmus's theorem (angles of triangle equal, 



when bisectors are equal). Jefdbek, A. 



Casopis 14 (1885) 20-; Fschr. Mth. (1885) 



575. 

 Lines in triangle, class. Franke, . Crelle 



J. Mth. 99 (1886) 161-. 



, (Franke). Schroeter, H. Crelle 



J. Mth. 99 (1886) 233-. 

 Medians, generalisation. Azzarelli, M. Em. 



N. Line. At. 42 (1889) 59-. 

 Menelaus's theorem, application to Euclid 



porisms. Serdobinskil, V. E. [1872] (xn) 



Kec. Mth. (Moscou) 6 (1872-73) (Pt. 2) 3-. 

 Orthocentric triangle. Tucker, E. Edinb. Mth. 



S. P. 12 (1894) 118-. 

 Orthologic triangles, triangles and conies. 



Lemoine, E. As. Fr. C. B. (1890) (Pt. 2) 



111-. 

 Parallels and anti-parallels of a triangle, some 



properties. Lemoine, E. Par. S. Mth. Bll. 



12 (1884) 72-. 



from point in plane to sides. Lemoine, E. 

 As. Fr. C. E. (1882) 122-. 



and triangles, theorems. Denzler, W. Ziir. 

 Mt. 2 (1850-52) 74-. 



Pedal triangle. Steggall, J. E. A. Edinb. 



Mth. S. P. 12 (1894) 85. 

 , theorem. Schoute, P. H. Palermo Cir. 



Mt. Ed. 1 (1887) 380-. 

 Perpendiculars and medians of a triangle, 



relations between. Pabst, C. Arch. Mth. 



Ps. 7 (1889) 10-. 

 Pole and polar. Greiner, M. Arch. Mth. Ps. 



59 (1876) 351-. 

 Problem. Escher, P. Grunert Arch. 31 (1858) 



46-. 

 : In sides AB, AC of triangle to find EF so 



that BE = EF=FC. Edward, J. Edinb. 



Mth. S. P. 2 (1884) 5-. 



= , historical notes. Mackay,J.S. Edinb. 

 Mth. S. P. 8 (1890) 93-. 



= , solution. Mackay, J. S. Edinb. Mth. 



S. P. 2 (i.884) 27. 

 : with given vertex to describe a triangle 



similar to given triangle and having its other 



angles on two given straight lines. Were- 



brussow, A. Fschr. Mth. (1897) 441. 

 Problems. Lorenz, N. von. Arch. Mth. Ps. 



64 (1879) 253-. 

 . Collignon, E. Edinb. Mth. S. P. 18 (1900) 



88. 

 Projections and centra-projections of fixed 



triangle. Neuberg, J. Brux. Mm. Cour. 8, 



44 (1891) No. 2, xvi + 86 pp. 

 Properties. Schulz von Strasnitzki, L. C. 



Baumgartner Z. 2 (1827) 396-. 

 . Schmidt, J. E. (vm) Amst. N. Ws. Ntk. 



Vh. 1 (1844) 30-. 



. Pistoris, de. N. A. Mth. 5 (1846) 451-. 

 . Azzarelli, M. Em. N. Line. At. 44 (1891) 



49-. 

 . Molenbroch [? Moleribroek], . N. A. 



Mth. 11 (1892) 121-, 179-. 

 . Collate, M. L. Liege S. Sc. Mm. 19 (1897) 



.No. 4, 12 pp. 



Properties, demonstration. V. [Gregory, I). F.] 



Camb. Mth. J. 1 (1839) 157-. 

 , extension. Schroter, H. [1867] Crelle J. 



68 (1868) 208- . 

 , mean orientation, equisegmentary points. 



Laisant, C. A. As. Fr. C. E. (1890) (Pt. 2) 



23-. 

 , new. Brocard, H. As. Fr. C. E. 12 (1883) 



188-. 

 Property. Wallace, (Prof.) W. Camb. Mth. J. 



1 (1839) 21-. 

 Proportionals to sides, etc. Albers, J. Arch. 



Mth. Ps. 68 (1882) 53-. 



Pseudo-isosceles triangle. Emmerich, A. Ma- 

 thesis 20 (1900) 129-. 

 Quadrilaterals and triangles in connection with 



progressions. Miksic, M. Casopis 5 (*1876) 



134- ; Fschr. Mth. (*1876) 325-. 

 , new property. Brocard, H. [1874] 



Par. S. Mth. Bll. 3 (1875)^38-. 

 . , series. Collignon, E. As. Fr. C. E. 



(1891) (Pt. 2) 38-. 

 Quadrisection. Euler, L. [1779] St Pet. Ac. 



Sc. Mm. 1 (1803-06) 26-, 49-. 

 Eational triangles. Grassmann,H. Arch. Mth. 



Ps. 49 (1869) 1-. 

 . Simerka, W. [1869] Arch. Mth. Ps. 



51 (1870) 196-. 

 . Lehmer, D. N. A. Mth. 1 (1900) 



97-. 

 , complete development, with three tables. 



Rath, H. Arch. Mth. Ps. 56 (1874) 188-. 

 , , (Eath). Curtze, H. 



Arch. Mth. Ps. 57 (1875) 216-. 

 Eelation between area and sum of angles, sup- 

 posing Euclid's 12th axiom false. Young, 



G. P. Cn. J. 5 (1860) 341-. 

 Eelations between orthic and median triangles. 



Pressland, A. J. Edinb. Mth. S. P. 9 (1891) 



, metrical and of position. Bardelli, G. Q. 

 Mt. 14 (1876) 241-. 



Eemarkable Points of the Triangle. 



Lange, J. [1880] Arch. Mth. Ps. 66 (1881) 



220- ; 67 (1882) 191-. 

 Lemoine, E. As. Fr. C. E. (1882) 108-. 

 Kapteyn, W. Amst. Ak. Vh. (Sect. 1) 3 (1896) 



No. 3, 33 pp. ; Fschr. Mth. (1895) 665. 

 Associated points in the plane. Lemoine, E. 



As. Fr. C. E. (1884) (Pt. 2) 49-. 

 Brocard points. Sweschnikow, P. Fschr. Mth. 



(1891) 599. 

 and angle. Davis, E. F. Edinb. Mth. 



S. P. 13 (1895) 28. 

 , construction. Allardice, B. E. Edinb. 



Mth. S. P. 6 (1888) 88. 

 Centre of equal angular transversals. Brocard, 



G. Mathesis 16 (1896) 217-. 

 (Brocard). Neuberg, J. Ma- 

 thesis 16 (1896) 221-. 

 Centres of similitude. Arndt, C. F. Grunert 



Arch. 5 (1844) 113-. 

 of circles connected with triangle. 



Mackay, J. S. Edinb. Mth. S. P. 2 (1884) 



446 



