6820 Spheres 



Pothenot's problem and the kumaids. Vieth, 



G. U.A. Gilbert A. 54 (1816) 306-. 

 Powers of circles and spheres. Johnson, W. W. 



B. A. Kp. (1890) 743-. 



Problem solved graphically. B. , J. Nicholson 



J. 21 (1808) 201-. 

 Problems. Schubert, F. T. [1798] St Pet. Ac. 



Sc. N. Acta 12 (1801) 196-. 



by Steiner on circles and spheres. Aubert, 

 O. G. D. Crelle J. 5 (1829) 163-. 



Property of having least surface for given 

 volume. Anon, (vi 525) Gergonne A. Mth. 

 4 (1813-14) 338-. , 



. Anon, (vi 545) Ger- 

 gonne A. Mth. 13 (1822-23) 132-. 



. Anon, (vi 550) Ger- 

 gonne A. Mth. 14 (1823-24) 316-. 



. Anon, (vi 555) Ger- 

 gonne A. Mth. 15 (1824-25) 257-. 



, new. Liebmann, H. Gott. Nr. (1899) 44-. 



Pythagorean theorem in spherical geometry. 

 Eilles, J. Arch. Mth. Ps. 44 (1865) 440-. 



Eecurring series of circles and spheres, two. 

 Serret, P. N. A. Mth. 1 (1862) 184-. 



Section of sphere by cone. Schoute, P. H. N. 

 Arch. Wisk. 4 (1899) 1-; Fschr. Mth. (1899) 

 470-. 



Segment, spherical. Anon, (vi 894) N. A. 

 Mth. 17 (1858) 438-. 



, , between any 2 planes. Crelle, A. L. 

 Crelle J. 52 (1856) 175-. 



, , theorem. Prouhet, E. N. A. Mth. 12 

 (1853) 208-. 



Segments, spherical, Greek approximate for- 

 mula (Hero). Tannery, P. Bordeaux S. Sc. 

 Mm. 5 (1883) 347-. 



, , investigated by Humbert. Hoppe, R. 

 Arch. Mth. Ps. 9 (1890) 53-. 



Shortest path on sphere. Thomas, L. N. A. 

 Mth. 8 (1849) 279-. 



. Dienger, J. Grunert Arch. 14 



(1850) 219-. 



. Barbel,. N. A. Mth. 10 (1851) 



415-. 



. Mansion, P. Mathesis 9 (1889) 



112-, 212-. 



Similar points of spheres of a Dupin's system. 

 Krober, (Dr) . Z. Mth. Ps. 25 (1880) 

 279-. 



Small circle on sphere, equation. Lachlan, R. 

 Mess. Mth. 14 (1885) 145-. 



Sphere cutting 4 spheres at given angles. 

 Battaglini, G. Tortolini A. 2 (1851) 373-. 



, and circles cutting 3 



circles; cyclide. Laquiere, E. M. As. Fr. 



C. E. (1880) 132- ; N. A. Mth. 2 (1883) 272-, 



5 spheres at same angle. Craig, T. Des 



Moines Anal. 7 (1880) 13-. 



equidistant from five points. Baker, M. 

 [1882] Smiths. Misc. Col. 25 (1883) Art. 2, 

 107-. (Wash. Ph. S. Bll. 5 (1883).) 



given by general equation, centre and radius. 

 Gerono, G. C. N. A. Mth. 18 (1859) 346-. 



in quadriplanar coordinates. Fazzari, G. 

 G. Mt. 29 (1891) 257-. 



Systems of spheres. Heger, R. Dresden Isis 

 Sb. (1900) 27-. 



Stereometry 6820 



Systems of spheres and circles. Lachlan, R. 



[1886] Phil. Trans. 177 (1887) 481-. 

 . Johnson, W. W. Am. J. Mth. 



14 (1892) 97-. 

 , synthetic theory. Rupp, O. 



Wien Ak. Sb. 104 (1895) (Ab. 2a) 623-. 

 , properties. Herz, N. Arch. Mth. 



Ps. 65 (1880) 385-. 

 and of straight lines. Cremona, L. 



B. A. Ep. (1876) (Sect.) 12-. 

 Theorems. Gerwien, . Crelle J. 11 (1834) 



130-. 

 . Roberts, S. L. Mth. S. P. 25 (1894) 



306-. 



on circles and spheres. Broager, P. D. (xn) 

 Ts. Mth. 1 (1865) 113-. 



and problems. A/olter, F. G. Mth. A. 4 

 (1871) 185-. 



Transformation and division of spherical figures 



by construction. Steiner, J. Crelle J. 2 



(1827.) 45-. 

 Transversals, spherical. Jullien, (le Fere) M. 



N. A. Mth. 9 (1850) 322-. 

 Triangles formed by circles as projections of 



spherical triangles. Weyr, E. <3asopis 1 



(*1872) 24-; Fschr. Mth. (*1872) 269-. 

 , tri-rectangular, two, on sphere, theorem. 



Johnson, W. W. Mess. Mth. 4 (1875) 14-. 

 Zone, spherical. Biehringer, (Dr) . Z. Mth. 



Ps. 17 (1872) 255-. 

 , , area. Grunert, J. A. Grunert Arch. 



3 (1843) 56-. 

 , , . Neovius, . [1850] Helsingf. 



Acta 3 (1852) 807-. 

 , , centre of gravity. Grunert, J, A. 



Grunert Arch. 3 (1843) 61-. 



Stereotomy. Monge, G. Par. EC. Pol. J. 



(1794-95) 1-. 

 . Eisenman, . Par. EC. Pol. J. 2 e call. 



(1796) 100- ; 3 cah. (1796) 440- ; 4 e call. 



(1796) 619 -. 

 . Sapalski, F. Krk. Eoczn. Tow. Nauk. 



5 (1820) 229-. 



(Leroy). Bruno, G. Tor. At. Ac. Sc. 2 

 (1866-67) 601-. 



, problem. Malfatti, G. F. [1802] Mod. S. 



It. Mm. 10 (1803) 235-. 

 , . Brunei, G. Bordeaux S. Sc. PV. 



(1894-95) 10-. 

 Straight line cutting at given angles two straight 



lines in space defined by their projections, 



construction for. Petzold, M. Z. Mth. Ps. 



27 (1882) 252-. 



lines and planes, general geometry. Tarry, 

 G. As. Fr. C. E. (1894) (Pt. 2) 184-. 



, problems. Hube, K. (vi Adds.) 



Krk. Eoczn. Uniwers. 11 (1826) 23-. 



in space. Oliveira, C. B. Eio 

 Arch. Palestra 1 (1858) 61-. 



in space. Housel, . N. A. Mth. 14 



(1855) 228-. 

 ,3 given, problem of cutting in a 



triangle with given angles. Salfner, E. 



Arch. Mth. Ps. 16 (1898) 347-. 

 , 4, no two being in same plane. 



Garbinski, H. Crelle J. 5 (1829) 174-. 



460 



