6820 



Stereometry. Spheres 



6820 



Quadrilaterals, plane and spherical, inscribed 



in circle. Baur, C. W. Schlomilch Z. 6 



(1861) 221-. 

 , , theorems, two. Strehlke, F. 



Grunert Arch. 2 (1842) 323-. 

 , skew. Studerende. (Pseud.) Mth. Ts. 1 



(1859) 85-. 

 , , section and form. Beyel, C. Z. Mth. 



Ps. 32 (1887) 301-. 

 , , trigonometric properties. Wasteels, J. 



Mathesis 18 (1898) 85-. 



and tetragons, complete, analogous systems 

 in space. Weddle, T. Camb. and Dubl. 

 Mth. J. 7 (1852) 251-. 



, theorem extended to space. Hermes, 0. 

 Crelle J. 56 (1859) 204-. 



Eelations in space, graphic representation. 

 Eitter, C. Berl. Ab. (1828) (Ph.) 213-. 



Eesultant angle of two angles. Fontene, G. 

 N. A. Mth. 18 (1899) 407-. 



Eotation surface (urn), diameter of cross- 

 section. Besch, C. Konigsb. Schr. 14 (1873) 

 66-. 



Shortest distance between two straight lines. 

 Beltrami, E. G. Mt. 5 (1867) 351-. 



, adjacent. Cesdro, E. 

 Mathesis 5 (1885) 196-, 248 (footnote). 



, application to surfaces. 

 Lebesgue, V. A. N. A. Mth. 8 (1849) 236-, 

 881-. 



, coordinates with oblique 



axes. Mollame, V. Nap. Ed. 17 (1878) 

 106-. 



in space. Stammer, W. 



G. Mt. 5 (1867) 236-. 



when they become parallel. 



St. Germain, A. de. N. A. Mth. 5 (1866) 



346-. 

 Similarity and equality of figures. Baltzer, E. 



[1852] Crelle J. 52 (1856) 142-. 

 Solid angles, measurement. Leuenstern, J. E. 



von. [1847] Haidinger Ab. 2 (1848) (Ab. 2) 



and polyhedra. Gram, J. P. (xn) Ts. 



Mth. 4 (1874) 161-. 

 of prism, cone and rhomb. Leuenstern, 



J. E. von. [1850] Haidinger Ab. 4 (1851) 



(Ab. 2) 49-. 



and tetrahedra, rational. Hoppe, E. 

 Arch. Mth. Ps. 61 (1877) 86-. 



, theorem. Sturm, J. B. Grunert Arch. 



28 (1857) 364-. 

 , . Certo, . Palermo Cir. Mt. Bd. 4 



(1890) 286. 

 , theorems. Minich, S. E. Yen. At. 7 



(1861-62) 823-. 

 , triangle, etc., properties. Anon, (vi 532) 



Gergonne A. Mth. 9 (1818-19) 271-. 

 , trihedral. Hemming, J. J. Z. Mth. 



Ps. 17 (1872) 159-. 

 , , application of principle of duality. 



Isely, L. Neuch. S. Sc. fill. 20 (1892) 118-. 

 ,, equality. Anon, (vi 560) Gergonne 



A. Mth. 17 (1826-27) 252-. 

 , , given section, problem. Lhuilier, S. 



[1819] Nap. At. Ac. 2 (1825) 13-. 



, , , (Lhuilier). Flauti, V. 



Nap. At. Ac. 2 (1825) 21-. 



" De Solidorum Elementis" (posthumous work 

 with translation and annotations by Jon- 

 quieres). Descartes, E. Par. Ac. Sc. Mm. 

 45 (1899) 325-. 



Solids, ordered classification. Ehrenburg, . 

 Wiirzb. Ps. Md. Sb. (1890) 139. 



of revolution. Dostor, G. Arch. Mth. Ps. 

 60 (1877) 307- ; 67 (1882) 254-. 



SPHEEES. 

 Euler, L. [1780] St Pet. Ac. Sc. Mm. 5 (1815) 



Hachette, J. N. P. Par. EC. Pol. Cor. 2 (1809- 



13) 337- 



Heegmann, A. Lille Tr. (1825) 106-. 

 Spiller, . Mth. Misc. 1 (1838) 29-, 182-. 

 Cassani, P. G. Mt. 4 (1866) 15-, 131-, 223-, 



373-. 



Niewenglowski, B. N. A. Mth. 9 (1870) 26-. 

 Laguerre, E. (x) Par. S. Mth. Bll. 1 (1873) 



Stephanos, C. C. E. 92 (1881) 1195-. 

 Allardice, E. E. Edinb. Mth. S. P. 2 (1884) 8-. 

 Loria, G. Tor. Ac. Sc. At. 20 (1885) 505-. 

 Analogues to theorems in plane geometry. 



Chasles, M. Liouv. J. Mth. 1 (1836) 324-. 

 Analytical geometry of sphere. Graves, C. 



Ir. Ac. P. 2 (1844) 127-. 

 . Borgnet, . Fr. Cg. Sc. 1 



(1847) 316- ; N. A. Mth. 7 (1848) 147-, 174-. 

 , fundamental formulae. Fournier- 



Vannsm, . N. A. Mth. 17 (1858) 65-, 99-, 



140-, 163-, 209-, 243-, 307- ; 18 (1859) 1-. 

 Angles of 5 circles in plane, or of 6 spheres 



in space, relations. Lucas, E. [1877] Mess. 



Mth. 8 (1879) 37-. 

 Archimedes' s theorem of sphere and cylinder, 



extensions. Piani, D. (vin) Bologna Opusc. 



Sc. N. Col. (1824) 228-. 

 Arcs of great and small circles. Bond, G. P. 



Camb. (M.) Mth. M. 1 (1859) 342-. 

 Area between two circles on sphere. Steen, A. 



(xn) Ts. Mth. 1 (1883) 84-. 



of figure formed by small circle arcs. 

 Wasteels, C. E. Mathesis 12 (1892) 105-. 



portion of sphere between 3 arcs of small 



circles. Faure, H. N. A. Mth. 12 (1853) 



446-. 

 Areas, spherical, properties. Humbert, G. 



C. E. 106 (1888) 477-; Liouv. J. Mth. 4 



(1888) 313-. 

 , , simplification of measurement. Breton, 



Ph. [1872] (xn) Isere S. Bll. 4 (1875) 



243-, 247, 248-. 

 Axes, radical, in spherical geometry. Allardice, 



E. E. Edinb. Mth. S. P. 3 (1885) 59-. 

 Box, rectangular, inside sphere. Baker, E. F. 



[1874] Amt. Mch. S. J. 2 (1877) 89-. 

 Brassinne's formula for radius of circumscribed 



sphere. Perrodil, de. N. A. Mth. 6 



(1847) 396-. 

 Centres of similitude of circles and spheres. 



Fuss, N. [1799] St Pet. Ac. Sc. N. Acta 14 



(1805) 139-. 

 Chords subtending right angle at given point. 



Juel, C. Ts. Mth. 5 (1887) 141- ; Fschr. 



Mth. (1887) 660. 



457 



