6830 



Spherical Trigonometry. Triangles 



6830 



Spherical polygons, area. Barbet, . N. A. 



Mth. 9 (1850) 183-. 

 , regular. Sornin, J. Toul. Mm. Ac. 6 



(1856) 76-. 

 , . Faure, H. N. A. Mth. 19 (1860) 



421-. 

 , , relations between sides and diameter. 



Schwarzer, A. Wien Sb. 52 (1866) (Ab. 2) 



363-. 

 , star, area. Dostor, G. Arch. Mth. Ps. 



63 (1879) 433-. 



quadrangle, problem. Palmer, J. C. Mth. 

 Gz. 1 (1900) 231-. 



quadrilaterals. Sohncke, L. A. Grunert 

 Arch. 4 (1844) 447-. 



, area. Konig, J. F. Grunert Arch. 34 



(1860) 12-, 355-. 



, . Strehlke, F. Grunert Arch. 35 

 (1860) 104-, 447-. 



, birectangular. Kramp, C. Gergonne 

 A. Mth. 1 (1810-11) 161-. 



, inscribed. Collete, J. N. A. Mth. 8 



(1849) 435-. 



, , with sides given. Kambly, . 

 Grunert Arch. 40 (1863) 440-. 



in small circle. Anon, (vi 317) 

 Dijon Se. Ac. (1821) 106-. 



, theorem: if two diagonals are quadrants, 



so is third. Colson, C. G. Mess. Mth. 5 

 (1876) 161-. 



Spherical Triangles. 



Lagrange, J. L. (Comte) de. Par. EC. Pol. J. 



6 e cafe. (1799) 270-. 



Schmeisser, . Crelle J. 10 (1833) 129-. 

 Maas, A. J. Brux. Ac. Bll. 6 (1839) (pte. 2) 



271-. 

 Angelitti, F. Nap. Ac. Pont. At. 25 (1895) 



No. 9, 24 pp. 

 Ambiguous cases. Lentheric, . N. A. Mth. 



2 (1843) 32-. 

 . Carbonnelle, J. Brux. Ac. Bll. 19 



(1852) (pte. 3) 71-. 

 . Jenkins, M. Mess. Mth. 2 (1873) 



150-. 

 Area. Gerling, C. L. Zach M. Cor. 27 (1813) 



297-. 

 . Tedenat, . Gergonne A. Mth. 6 (1815- 



16) 46-. 

 . Buzengeiger, K. H. J. Lindenau Z. 6 



(1818) 3H-. 

 . Lebesgue, V. A. N. A. Mth. 16 (1857) 



319-. 

 , and spherical ellipse. Fournier-Vanmon , 



. N. A. Mth. 7 (1848) 14-, 51-. 

 , theorem, notes. Juel, C. N. Ts. Mth. 10 



(A) (1899) 13-. 



of two spherical triangles, equality. Grunert, 

 J. A. Grunert Arch. 32 (1859) 118-. 



Areas of plane and spherical triangles. Slwrt- 



rede, B. Beng. J. As. S. 11 (1842) 776-. 

 . Tillot [Tillol], J. N. A. 



Mth. 9 (1850) 406-. 



-: . Lebesgue, V. A. N. A. 



Mth. 15 (1856) 352. 

 , two theorems. Terquem, 0. 



N. A. Mth. 9 (1850) 278. 



"Associated" triangles, properties. Femcick, 

 S. Mathematician 1 (1845) 18-. 



Cases. Crossicell, W. Bost. Mm. Am. Ac. 3 

 (1809) 38-. 



Centre of mean distances. Lhuilier, S. Ger- 

 gonne A. Mth. 2 (1811-12) 72-. 



Centroid. Besge, V. A. Liouv. J. Mth. 7 

 (1842) 516. 



(Besge and Giulio) . Grunert, J. A . Grunert 

 Arch. 4 (1844) 75-. 



. Matzka, W. Grunert Arch. 4 (1844) 

 359-. 



. Hansen, P. A. Leip. B. 22 (1870) 71-. 



Chordal triangle and spherical triangle, 

 Grunert's theorem, demonstration. Unfer- 

 dinger, F. Grunert Arch. 33 (1859) 89-.' 



, relations. Simonelli, R. 

 Tortolini A. 5 (1854) 186-. 



Circles, circum-,in-ande-scribed. Colson, C. G. 



Edinb. E. S. P. 8 (1875) 589-. 

 , and in-scribed. Clausen, T. Crelle J. 



6 (1830) 84-, 90. 

 , , radii. Unferdinger, F. Grunert 



Arch. 29 (1857) 238. 

 , in- and e-scribed, circle touching. Salmon, 



G. QJ. Mth. 6 (1863) 67-. 

 Coexistence of three spherical triangles, with 



two sides equal in pairs. Berg, F. J. van 



den. N. Arch. Wisk. 14 (1888) 78- ; Fschr. 



Mth. (1887) 565. 

 Congruence theorems for fully denned spherical 



triangles. Peter sen, J. N. Ts. Mth. 11 (B) 



(1900) 77- ; Fschr. Mth. (1900) 504. 

 Differentials of sides and angles, etc. Wolfers, 



J. P. Grunert Arch. 10 (1847) 431-. 

 Gauss's pentagramma mirificum, extension to 



any spherical triangle. Dziobek, . Arch. 



Mth. Ps. 16 (1898) 320-. 

 Graphical solution. Littrow, K. L. von. Wien 



Sb. 42 (1860) 203-. 

 . Penrose, F. C. As. S. M. Not. 37 



(1877) 403-. 

 . Janse, L. N. Arch. Wisk. 11 (1884) 



1- ; 12 (1886) 113-. 

 by projection, history. Haller, S. Bb. 



Mth. (1899) 71-. 

 Large geodetic triangles, resolution. Saija, G. 



Catania Ac. Gioen. At. 12 (1899) Mem. 3, 



58 pp. 

 Legendre's theorem. Gauss, C. F. Crelle J. 22 



(1841) 96. 

 (Gauss). Grunert, J. A. Grunert Arch. 



1 (1841) 436-. 

 . Winckler, A. Liouv. J. Mth. 16 (1851) 



375- ; Crelle J. 44 (1852) 273-. 

 . Catalan, E. C. N. A. Mth. 11 (1852) 



406-. 

 . Caldarera, F. Palermo G. Sc. Nt. 1 



(1866) 126-. 



, demonstration. Ivory, J. Tilloch Ph. 

 Mg. 58 (1821) 270-. 



, . Grunert, J. A. Grunert Arch. 23 



(1854) 111-. 



, . Tissot, A. N. A. Mth. 1 (1862) 5-. 



, and Serret's. Bouche, E. N. A. Mth. 



15 (1856) 354-. 



, (Bouche). Serret, P. N. A. Mth. 



16 (1857) 53-. 



470 



