6810 



Planimetry. Polygons 



Steiner, J. Berl. B. 



6810 



Minimum distance point. 



(1837) 144-. 

 . Woldstedt, F. [1858] (vm) Helsingf . 



Acta 6 (1861) 33-. 

 . Sturm, R. Crelle J. Mth. 97 (1884) 



49-. 

 . Ginger, V. Ja. [1891] Kec. Mth. 



(Moscou) 16 (1893) 317-. 

 . Solovjev, N. M. Mosc. S. Sc. Bll. 



93 (No. 1) (1897) 27-; Fschr. Mth. (1897) 



441-. 

 , properties. Seydewitz, F. Grunert 



Arch. 8 (1846) 174-. 



figures. Ocagne, M. d' . Par. S. Mth. Bll. 

 12 (1884) 168-. 



or maximum of sum of positive and negative 

 squares of distances of point from three 

 straight lines in plane. Wetzig, F. Z. Mth. 

 Ps. 12 (1867) 281-. 



problem. Neovius, E. Gott. Nr. (1887) 

 407- . 



sum of distances from three points. Lind- 

 man, C. F. Grunert Arch. 27 (1856) 295-. 



Mosaics, geometrical, algebraic representation. 



Mersch, C. F. Lux. I. R. Pb. 19 (1883) 



153-. 

 Pappus's theorem. Zahradnik, K. Arch. Mth. 



Ps. 17 (1900) 79-. 

 Peaucellier cell. Peaucellier, A. N. A. Mth. 



12 (1873) 71-. 



. Lemoine, E. As. Fr. C. B. (1874) 

 122- ; Par. Ing. Civ. Mm. (1875) 247-. 



Planimeter, Amsler's. Rateau, A. As. Fr. C. 



B. (1896) (Pt. 2) 130-. 

 , , "no-rolling" curves. Morley, F. A. 



Mth. 1 (1900) 21-. 

 , description of new. Fessenden, C. Cn. I. 



P. 5 (1888) 27-. 

 , polar. Barbarin, P. N. A. Mth. 19 (1880) 



212- ; 20 (1881) 266-. 

 , , problem. Echols, W. H. [1889] A. 



Mth. 5 (1889-90) 9-. 



for rectangular coordinates. Schmidt, J. 

 Giving. 26 (1880) 437-. 



Planimeters, report. Henrici, O. B. A. Rp. 



(1894) 496-. 

 Planimetry, desiderata. Pfeil, L. von. Arch. 



Mth. Ps. 58 (1876) 369-. 

 , theorems deduced from analogous linear 



theorems. Mobius, A. F. Leip. B. (1852) 



41-. 

 Points, complementary. Vigarie, E. Mathesis 



7 (1887) 6-, 57-, 84-, 105-. . 

 , . Ocagne, M. d'. Mathesis 8 (1888) 



62-. 

 , two unknown, found from two known. 



Clausen, T. As. Nr. 18 (1841) 367-. 



Polygons. (See also 7210.) 



Cauchy, A. L. [1812] Par. EC. Pol. J. 16" cah. 



(1813) 87-. 

 Franchini, P. [1819] Lucca At. Ac. 1 (1821) 



97-. 



Cauchy, A. L. C. R. 26 (1848) 489-. 

 Allardice, R. E. Edinb. Mth. S. P. 5 (1887) 78-. 

 Analytical principles. Cuyper,A.C.de. Li6ge 



Mm. S. Sc. 4 (1848-49) 387-. 



Analytical theorem. Walton, W. Camb. and 



Dubl. Mth. J. 5 (1850) 182-. 

 Angles, sum. Liotard, . Gard Mm. Ac. 



(1847-48) 76-. 

 , . Unferdinger, F. Wien Sb. 57 (1868) 



(46.2)627-. ' 

 , . Steinhauser, A. Arch. Mth. Ps. 52 



(1871) 294-. 

 Areas. Hudson, E. C. Mess. Mth. 24 (1895) 



171-. 



. Schur, F. Dorpat Sb. 10 (1895) 2-. 

 , Mascheroni's theorem. Terquem, 0. N. 



A. Mth. 7 (1848) 348-. 



.problem. Ellis, R. L. (vi Adds.) Camb. 



Mth. J. 2 (1841) 142-. 

 , and sum of angles. Spitzer, S. Haidinger 



B. 5 (1849) 156-. 



Circumscriptible polygons. Darboux, G. Bll. 



Sc. Mth. As. 3 (1879) 64-. 

 , radius and surface. Dostor, G. N. A. 



Mth. 5 (1866) 73-. 

 Classification. De Morgan, A. QJ. Mth. 2 



(1858) 340-. 

 Derived polygons, property. Rubini, R. (vm) 



A. Mt. 5 (1863) 5-. 

 Determination from angles between sides and 



diagonals. Hoppe, R. Arch. Mth. Ps. 61 



(1877) 439-. 

 Division into equal areas. Oettingen, A. von. 



Dorpat Sb. 8 (1889) 262-. 

 m-gons. Liouville, J. Liouv. J. Mth. 8 



(1843) 391-. 



, number of ways. Grunert, J. 4. 

 Grunert Arch. 1 (1841) 193-. 



jj-gons, number of ways. Rou-e, R. C., 



& Taylor, H. M. L. Mth. S. P. 13 (1881-82) 



102-. 

 triangles. Binet, J. P. M. Par. S. 



Phlm. PV. (1838) 127- ; Liouv. J. Mth. 4 



(1839) 79-. 

 . Catalan, E. C. Liouv. J. Mth. 4 



(1839) 91-. 

 . Faure, H. N. A. Mth. 17 (1858) 



50-. 



, number of ways. Rodrigues, O. 

 Liouv. J. Mth. 3 (1838) 547-. 



Equality. Nievengloski, G. H. N. A. Mth. 11 



(1852) 462-. 

 . Ponte-Horta, F. da. Lisb. J. Sc. Mth. 1 



(1868) 6-. 

 Equiangular and equilateral polygons. Hess, 



E. Marb. Schr. 10 (Ab. 12, 1874) 611-. 

 . Allardice, R. E. Edinb. Mth. 



S. P. 5 (1887) 28-. 

 Errors in calculating, estimation. Soulages, E. 



Arg. S. Ci. A. 36 (1893) 5-; Fschr. Mth. 



(1893-94) 1842. 

 Even polygons, and odd, property. Allardice, 



R. E. Edinb. Mth. S. P. 8 (1890) 22-. 

 , properties. Cotterill, T. L. Mth. S. P. 



1 (1866) No. 5, 13-. 

 Family formed with given polygon. Ibach, 



L. F. N. A. Mth. 2 (1883) 226-. 

 Harmonic polygons. Tarry, G., d- Neuberg, J. 



As. Fr. C. R. (1886) (Pt. 2) 12-. 

 . Casey, J. Mathesis 10 (1890) 96-. 



; new method. Simmons, (Rev.) T. C. 

 L. Mth. S. P. 18 (1886-87) 289-. 



437 



