6810 



Planimetry; Straight Lines and Circles 



6810 



Curves, pedal and inversion. Fleuri, G. N. S. 



W. B. S. J. 26 (1892) 60-. 

 on railways, compound. Emch, A. Kan. 



Un. Q. 5 (1896) 99-. 



, junction by two arcs of circles. 



Ocagne, M. d\ N. A. Mth. 17 



314-. 

 Diagonals of figures. Dassen, C. C. Arg. S. 



Ci. A. 42 (1896) 165-, 198-. 

 Discontinuities, on removing certain. Rulf, W. 



Mh. Mth. Ps. 4 (1893) 173-. 

 Distances, sum of squares of, theorem. Grunert, 



J. A. Grunert Arch. 20 (1853) 473-. 

 Division of rhomboid. Fuss, N. [1799] St Pet. 



Ac. Sc. Mm. 3 (1811) 65-. 



triangles and quadrilaterals, formulae. 

 Le Brun, . C. B. 38 (1854) 752. 



Euclid, first three books. Wedgwood, H. [1853] 

 Camb. Ph. S. P. 1 (1866) 127-. 



i, 1 to 32, demonstration. Traill, D. Edinb. 

 Mth. S. P. 2 (1884) 40-. 



i, 4, Bain's theory. Smith, W. R. [1870] 

 Edinb. B. S. P. 7 (1872) 176-. 



i, 4, 5, 6, 26. Wolff, F. QJ. Mth. 7 (1866) 

 76-; 8 (1867) 301-. 



i, 5. Kendall, E. K. Cn. J. 3 (1858) 

 318-. 



i, 32. Fischer, W. Grunert Arch. 28 (1857) 

 365-. 



vi, 7. Wolff, J. F. (jun.) QJ. Mth. 11 

 (1871) 76. 



vi, 7, simpler demonstration. Walton, W. 

 [1832] QJ. Mth. 9 (1868) 241-. 



x. Poselger, F. T. Berl. Ab. (1834) 

 341-. 



x, axiom, extension (continued subtraction 



of ^th). Miiller, G. W. Grunert Arch. 1 



(1841) 211-. 

 Extreme and mean ratio, expression "to divide 



a line in", etc. Vincent, A. J. H. N. A. 



Mth. 3 (1844) 5-. 

 , " ". Terquem, 0. 



N. A. Mth. 12 (1853) 36-. 

 , "golden section" in square and 



cube. Hagen, F. W. Dingier 140 (1856) 



, " "of straight line. Helmes, J. 



Grunert Arch. 4 (1844) 15-. 

 Fermat's theorem of rectangle on diameter of 



semi-circle. Blindow, R. Grunert Arch. 31 



(1858) 295-; 32 (1859) 124-. 



, demonstration. 



Heinen, F. Grunert Arch. 30 (1858) 



246-. 



, generalisation. 

 Krilger, A. Grunert Arch. 31 (1858) 61-. 



Figure composed of a triangle and parallelo- 

 grams on its sides. Paraira, M. C. N. Arch. 

 Wisk. 9 (*1882) 87-. 



the squares on its sides, 

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

 P. 6 (1888) 2-. 



, geometrical, study. Aubert, P. Edinb. 

 Mth. S. P. 5 (1887) 23-. 



Figures variable in similar manner. Neuberq, J. 

 L. Mth. S. P. 16 (1884-85) 184-. 



Graduation, method in which curves are repre- 

 sented by straight lines. Kapteyn, A. P. 



Cuyper Bv. Un. 40 (1876) 136-. 

 Harmonic centres. Caldarera, F. Palermo 



Cir. Mt. Bd. 1 (1887) 2-. 

 Homology, centres of. Midy, . N. A. Mth. 



3 (1844) 77-. 

 Imaginary solutions in ordinary geometry. 



Tarry, G. As. Fr. C. B. (1892) (Ft. 2) 



132-. 

 Inversion. Liouville, J. N. A. Mth. 13 (1854) 



227-. 



. Mannheim, A. L'l. 28 (1860) 413-. 

 . Grassmann, H. E. Leip. Mth. Ps. B. 29 



(1877) 133-. 

 , application to surface envelope of sphere 



touching three spheres. Mannheim, A. N. 



A. Mth. 19 (1860) 67-. 

 , circular, and Peaucellier cell. Baker, A. L. 



[1894] Bochester (N.Y.) Ac. Sc. P. 2 (1895) 



256-. 

 , demonstration of theorems by. Casey, J. 



[1864] QJ. Mth. 7 (1866) 378-. 

 , new method. Coelingh, D. N. A. Mth. 7 



(1888) 133-. 

 , propositions obtained by. Bellavitis, G. 



Tortolini A. 4 (1853) 198-. 

 Isobaric points in space, properties. Ferrari, 



F. G. Mt. 34 (1896) 73-; 35 (1897) 

 273-. 



Lengths, rational relations. Zeuthen, H. G. 



(xn) Ts. Mth. 6 (1882) 75-. 

 Loci of points, sum of whose distances from 



given lines or planes is constant. Heis, E. 



Grunert Arch. 31 (1858) 228-. 

 Locus of points from which two fixed lines 



subtend equal angles. Stammer, W. Arch. 



Mth. Ps. 68 (1882) 18-. 

 Lunes, quadrature, fragment of Eudemus. 



Tannery, P. Bordeaux S. Sc. Mm. 5 (1883) 



211-. 

 , , and Hippocrates of Chio. Tannery, P. 



Bordeaux S. Sc. Mm. 2 (1878) 179-. 

 Mean distance, centres, analytic proofs. Rochat, 



. Gergonne A. Mth. 3 (1812-13) 286-. 

 , , applications of theory. Gerono, 



G. C. Gergonne A. Mth. 17 (1826-27) 

 330-. 



of field from homestead. Hill, C. J. D. 



Stockh. Ak. Hndl. (1849) 1-. 

 2 figures on a plane. Maxwell, J. C. 



Edinb. B. S. T. 26 (1872) 729-. 

 intersections of variable straight line 



with three fixed lines, centre. Greiner, M. 



Arch. Mth. Ps. 69 (1883) 323-. 

 lines from a point. Wetzig, F. Z. 



Mth. Ps. 11 (1866) 15-. 



point from system of points. 

 Schlegel, . As. Fr. C. B. (1887) (Pt. 2) 

 266. 



line of system of lines in a plane. Ocagne, 

 M. d>. Par. S. Mth. Bll. 12 (1884) 114-. 



position, centres and lines. Gorton, W. C.L. 

 [1891] A. Mth. 6 (1891-92) 33-. 



proportionals, two, method of finding. 

 Pendlebury, R. Mess. Mth. 2 (1873) 166-. 



Medians. Quetelet, E. Brux. Mm. Cour. 4, 

 25 (1851-53) 32 pp. 



436 



