6430 



Methods of Analytical Geometry 



6430 



Equations, tangential. Laguerre, . Liouv. 



J. Mth. 17 (1872) 1-. 

 , , new form. Casey, J. Phil. Trans. 



167 (1877) 367-. 



between two variables, general interpretation. 

 Walton, W. Camb. Mth. J. 2 (1841) 103-. 



, representation. Bjorling, C. F. E. 



[1874] Stockh. Ak. Hndl. 13 (1876) (No. 4) 



40pp. 

 , . Cayley, A. (xii) J. H. Un. 



Cir. [1] (1882) 210. 

 Equipollences, calculus. Bellavitis, G. A. Sc. 



Lomb. Ven. 5 (1835) 244-. 

 , (Bellavitis). Hoilel, J. N. A. Mth. 8 



(1869) 289-, 337-. 



Figures, geometrical, algebra. Jarosenko, S. 



N. Es. S. Nt. Mm. (Mth.) 1 (*1878). 

 Formula for angles and distances, simplifica- 

 tion. Eipert, L. N. A. Mth. 19 (1900) 409-. 

 Formulae, fundamental. Stolz, 0. Mth. A. 



43 (1893) 591-. 

 Geometry as a branch of analysis. Heatly, 



S. G. T. Beng. J. As. S. 12 (1843) 110-. 

 , higher, proofs of fundamental formulae. 



Cotterill, T. Mess. Mth. 4 (1868) 98-. 

 "Harmonics" of triangle. Hain, E. [1874] 



Arch. Mth. Ps. 57 (1875) 316-. 

 Hypercycle and theory of polar cycles. Dauthe- 



ville, . Par. S. Mth.. Bll. 14 (1886) 45-. 

 Imaginary in function theory and in analytic 



geometry. Schiiler, W. F. D. Nf. B. (*1877) 



109-. 



points. Feldblum, M. Wiad. Mt. 2 (1898) 

 130- ; Fschr. Mth. (1898) 486. 



Inclination of lines and planes in space, inter- 

 pretation of formulae. Painvin, L. N. A. 

 Mth. 5 (1866) 337-. 



plane to horizontal, Lamp's theorem. 

 Trzaska, W. Par. T. Nauk Sc. Pam. 10 

 (*1878) Art. 9, 3 pp. 



Inverse figures. Bellavitis, G. A. Sc. Lomb. 



Ven. 6 (1836) 136- ; Tortolini A. 3 (1860) 60-. 

 "Keys" (Cauchy), geometrical interpretation. 



Barre de Saint-Venant, . C. E. 36 (1853) 



582-. 

 Leibnitz's " Characteristic." Grassmann, H. 



Leip. Jablon. Preisschr. (No. 1) (1847) 60 pp. 

 Lines, plane, generation. Conti, C. [1828] 



Padova N. Sag. 2 (1825) 255-. 

 , theory. Milller, G. W. Crelle J. 15 (1836) 



229-. 

 Method, general, linking synthetic with analytic 



geometry. Caspary, F. Bll. Sc. Mth. 13 



(1889) 202-. 

 Middle points of transversals. Valat, J. P. F. 



Bordeaux Ac. Act. 38 (1877) 49-. 

 Multiple centres, theory. Breton, Ph. Liouv. 



J. Mth. 10 (1845) 430-. 

 Multipliers, indeterminate. Brassinne, E. N. 



A. Mth. 6 (1847) 381-. 

 Notation, new. O'Brien, M. [1846] Camb. 



Ph. S. T. 8 (1849) 415-. 

 , Plucker's abridged. Finck,B. N. A. Mth. 



3 (1844) 147-. 

 Numerical equations, and analytical geometry 



in space. Zmurko, L. [1869] Wien D. 30 



(1870) (2te Ab.) 217-. 



Object and image with respect to reflecting 

 circle. Lehmus, . Crelle J. 31 (1846) 

 85-. 



Orthogonal axes, systematic treatment. Pelz, 

 C. Wien Ak. Sb. 90 (1885) (Ab. 2) 1060-. 



coefficients, system, new relations. Hoppe, 

 R. Arch. Mth. Ps. 2 (1885) 413-. 



Parameter, variable, use in geometry. Bras- 

 sinne, E. N. A. Mth. 6 (1847) 381-. 



Plane algebra. Macfarlane, A. [1883] Edinb. 

 E. S. P. 12 (1884) 184-. 



, analytical problem. Dienger, J. Grunert 

 Arch. 11 (1848) 111-. 



, equation. Schett, W. Schlomilch Z. 1 

 (1856) 106-. 



figures, representation and segmentation. 

 Laisant, C. A. Par. S. Mth. Bll. 18 (1890) 

 123-. 



Planes, angle between two, in oblique co- 

 ordinates. Junghann, G. Z. Mth. Ps. 12 

 (1867) 350-. 



, bisecting, and axes in oblique system. 

 Paterno, F. P. Palermo G. Sc. Nt. 18 (1887) 

 342-. 



, position. Littrow, J. J. von. [1813] St Pet. 

 Ac. Sc. Mm. 8 (1817-18) 54-. 



Points on a circle, 4, relations between distances. 

 Antomari, X. N. A. Mth. 1 (1882) 462-. 



, , . Cayley, A. Mess. 



Mth. 17 (1888) 94-. 



, , , extension of Cayley's 



theorem. Springer, J. F. J. H. Un. Cir. 

 [9 (1889-90)] 78. 



with integer coordinates in plane, joins of. 

 Bravais, A. C. E. 5 (1837) 867-. 



in a plane, property of a system. Lucas, F. 

 Par. S. Mth. Bll. 21 (1893) 109-. 



,3, condition for being in straight 



line. Terquem, O. N. A. Mth. 4 (1845) 

 462-. 



,4 (Euler) . Grunert, J. A . Grunert 



Arch. 26 (1856) 335-. 



, , coordinates and angles sub- 

 tended at a 5th point, relation. Grunert, 

 J. A. Grunert Arch. 1 (1841) 89-. 



, , equation connecting mutual 



distances. Muir, T. Edinb. Mth. S. P. 3 

 (1885) 34-. 



, , problem. Lowry, T. J. Des 



Moines Anal. 1 (1874) 146-. 



, , relation between distances. 



Ciamberlini, C. G. Mt. 31 (1893) 218-. 



,5. Cayley, A. Ph. Mg. 29 (1865) 



460-. 

 ,6, and their areal product. Eeiss, 



M. Mth. A. 2 (1870) 397-. 

 , relations between distances. Ovidio, E. d\ 



G. Mt. 9 (1871) 211-. 



in space, 3, coordinates, relations (Lagrange). 

 Terquem, 0. N. A. Mth. 1 (1842) 387-. 



,5, relation between distances. Salmon , 



G. QJ. Mth. 3 (1860) 282-. 

 , , . Cayley, A. Mess. 



Mth. 18 (1889) 100-. 

 , , . Muir, T. Edinb. E. 



S. P. 16 (1890) 86-. 

 , , . Ciamberlini, C. G. 



Mt. 34 (1896) 279-. 



428 



