6810 



Planimetry. Straight Lines 



6810 



Similar figures, associated. Tarry, G. Mathesis 

 6 (1886) 97-, 148-, 196-. 



(directly similar), theorems. Schoute, 

 P. H. Delft EC. Pol. A. 6 (1890) 51-. 



in a plane, system. Laisant, C. A. As. 



Fr. C. R. (1883) 178-. 

 , theorems. Tarry, . C. R. 112 



(1891) 984-. 



, 3, with extension of Feuerbach's 

 theorem. M'Cay, W. S. [1889] Ir. Ac. T. 

 29 (1887-92) 303-. 



, , properties. Tarry, G. (XH) Mathesis 



2 (1882) 73-. 

 , , . Neuberg, J. (xn) Mathesis 



2 (1882) 76-, 144. 

 , , . Casey, J. Mathesis 7 (1887) 



14-, 75. 

 Similitude, general theory. Breton, Ph. [1877] 



(xn) Isere S. Bll. 8 (1879) 4-, 9, 12-. 



and inversion. Mackay, J. S. Edinb. Mth. 

 S. P. 6 (1888) 69-. 



Stewart's theorems, proof of two on circle and 

 polygon. Davies, T. S. Camb. and Dubl. 

 Mth. J. 1 (1846) 229-. 



STEAIGHT LINES. 



Pfeil, L. von. Arch. Mth. Ps. 49 (1869) 178-. 

 Hain, E. Arch. Mth. Ps. 64 (1879) 267-. 

 Tarry, G. As. Fr. C. R. (1890) (Ft. 2) 152- ; 



(1894) (Pt. 2) 184-. 

 Description by link work. Aldis, W. S. N. 



Z. I. T. 21 (1889) 441-. 

 Drawing a straight line. Kempe, A. B. Nt. 



16 (1877) 65-, 86-, 125-, 145-. 

 approximately, by linkwork. Milller, 



E. D. Nf. Vh. (1897) (Th. 2, Hiilfte 1) 34. 

 Finite lines in plane, number of cases as 



regards parallelism and situation. Rothe, 



H. A. Ac. Gas. Leop. N. Acta 12 (1825) 399-. 

 2 lines making complementary angles with 



fixed axis, properties. Mensbrugghe, G. van 



der. Brux. Ac. Bll. 20 (1865) 6CK 

 n lines in plane, metric geometry. Morley, F. 



N. Y. Am. Mth. S. T. 1 (1900) 97-. 

 , . Loud, F. H. N. Y. Am. 



Mth. S. T. 1 (1900) 323-. 

 Properties, descriptive, segmentary and metric. 



Mouchot, A. C. E. 104 (1887) 1053-. 

 Relation of distances from three given points. 



Ferrers, N. M. QJ. Mth. 2 (1858) 120-. 

 Section of a line. Gergonne, J. D. Gergonne 



A. Mth/15 (1824-25) 93-. 

 . Wallace, W. Edinb. Mth. S. P. 



12 (1894) 76-. 

 . Anderson, R. E. Edinb. Mth. 



S. P. 15 (1897) 65-. 

 System of concurrent lines, isometrics of a line 



with reference to. Ocagne, M. d'. Par. S. 



Mth. Bll. 17 (1889) 171-. 



straight lines, centre of least squares. Neu- 

 berg, . Brux. S. Sc. A. 23 (1899) (Pt. 1) 27-. 



, , construction. 

 Rahusen, A. E. N. Arch. Wisk. 3 (1898) 33-. 



in plane, intercepts. Roberts, S. 



L. Mth. S. P. 19 (1889) 405-. 



Systems of straight lines, orientation. Hum- 

 bert, G. Am. J. Mth. 10 (1888) 258-. 



Theorems. Frankenheim, M. L. Crelle J. 8 



(1832) 178-. 

 . Brioschi, F. N. A. Mth. 15 (1856) 462-. 



Superposition. Kelland, P. [1855-64] Edinb. 

 R. S. T. 21 (1857) 271- ; 23 (1864) 471-. 



(Kelland). Brodie, R. Edinb. R. S. T. 

 36 (1892) 307-. 



by means of dissection. Muirhead, R. F. 



Edinb. Mth. S. P. 14 (1896) 109-. 

 Theorems, geometrical, derived by inversion, 



reciprocation, etc. Bellavitis, G. A. Sc. 



Lomb. Yen. 2 (1832) 250- ; Padova N. Sag. 



4 (1838) 243-; Tortolini A. 5 (1854) 31-, 



241-, 428-, 473-. 

 Transformation of rectangle into square. 



Peddie, W. Edinb. Mth. S. P. 4 (1886) 24. 



by symmetrical straight lines, application 

 to Steiner's problem. Schoute, P. H. Bll. 

 Sc. Mth. As. 7 (1883) (Pt. 1) 314-. 



Transformations of figures. Gob, A. As. Fr. 

 C. R. (1890) (Pt. 2) 1-. 



by reciprocal radii, groups. Allardice, R. E. 

 [1887] Edinb. Mth. S. P. 6 (1888) 14-. 



, (Allardice). Alasia, C. Fschr. 



Mth. (1900) 530. 

 - vectors. Laguerre, E. N. A. Mth. 



1 (1882) 542-. 

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



(1883) 249-. 

 (Laguerre's transformation). Juel, 



C. N. Ts. Mth. 3 (B) (1892) 10-; Fschr. 



Mth. (1892) 578-. 

 , properties of cycles. Laguerre, E. 



N. A. Mth. 2 (1883) 65-. 

 Translation, method dependent on principle. 



Maver, D. [1890] Edinb. R. S. P. 17 (1891) 



188-. 



Triangles (including Circles related thereto). 



(For Conic Sections related to Triangles 



see 7210.) 



(Euler.) Terquern, 0. N. A. Mth. 1 (1842) 



79-, 196-. 



Mollmann, B. Grunert Arch. 17 (1851) 373-. 

 Hellwig, C. Grunert Arch. 19 (1852) 14-. 

 Unferdinger, F. Grunert Arch. 27 (1856) 327- ; 



29 (1857) 432- ; 33 (1859) 420-. 

 Grunert, J. A. Arch. Mth. Ps. 42 (1864) 229- ; 



45 (1866) 429- ; 48 (1868) 465-. 

 Schubert, H. Z. Mth. Ps. 16 (1871) 83-. 

 Hain, E. Arch. Mth. Ps. 60 (1877) 290- ; 61 



(1877) 417- ; 62 (1878) 422-. 

 Greiner, M. Arch. Mth. Ps. 61 (1877) 225-. 

 (Euler.) Mackay, J. S. Edinb. Mth. S. P. 



4 (1886) 51-. 

 Lemoine, E., <& Neuberg, . Mathesis 6 



(1886) 55-, 73-. 



Lemoine, E. As. Fr. C. R. (1886) (Pt. 2) 83-; 



(1887) (Pt. 2) 13-; (1888) (Pt. 2) 165- ; 

 (1889) (Pt. 2) 197- ; (1891) (Pt. 2) 130- ; 



(1892) (Pt. 2) 101- ; (1895) (Pt. 2) 186- ; 

 (1896) (Pt. 2) 58-. 

 Cesdro, E. N. A. Mth. 6 (1887) 215-. 



442 



