6830 



Sines of higher orders. Yvon- Villar.ceau, A.J.F. 



C. E. 86 (1878) 1160-, 1216-, 1287- ; 91 



(1880) 195-. 

 . Farkas, J. C. B. 91 (1880) 209-, 



278-, 544-. 



. West, E. C. E. 92 (1881) 1279-. 



, higher, of same order, algebraic relations. 



Rouyaux, J. A. C. E. 92 (1881) 1276-. 

 , natural, limit of error. Finch, B. N. A. 



Mth. 2 (1843) 329-. 

 , , tables, construction and degree of 



accuracy. Vincent, A. J. H. N. A. Mth. 



1 (1842) 272-. 

 , etc. , relations. Brehmer, . Grunert Arch. 



4 (1844) 236-. 



, tangents, and secants, rational expressions 



for. Gould, D. Silliman J. 22 (1832) 392-. 

 Solid angles. Schulten, N. G. af (fil.). [1839] 



Helsingf. Acta 1 (1840) 101-. 

 . Stammer, W. Grunert Arch. 27 (1856) 



123-. 

 , four, formed by 4 straight lines from 



a point, relation between sines. Dostor, P. 



Arch. Mth. Ps. 58 (1876) 1-. 

 , measurement. Riedl von Leuenstern, J. 



[1847] Haidinger Ab. 2 (1848) (Ab. 2) 1-. 

 , new solution by projection. Klekler, K. 



[1876] Arch. Mth. Ps. 61 (1877) 337-. 

 of pyramid, sums. Riedl von Leuenstern, 



J. Haidinger Ab. 3 (1850) (Ab. 2) 87-. 

 , theorems, two. Sturm, J. B. Grunert 



Arch. 24 (1855) 112-. 

 , trihedral. Barbel, . N. A. Mth. 6 



(1847) 104-. 

 , , and lines related to them. Grunert, 



J. A. Arch. Mth. Ps. 42 (1864) 377-. 

 , , sines, geometric significance. Timer, 



A. Z. Mth. Ps. 28 (1883) 249-. 

 , , , properties. Dostor, G. Arch. 



Mth. Ps. 56 (1874) 247-. 



SPHEEICAL TEIGONOMETEY. 



Puissant, L. Par. fie. Pol. Cor. 3 (1814-16) 



60-. 

 Rube, K. (vi Adds.) Krk. Eoczn. Uniwers. 



5 (1820) 290-. 



Sorlin, A. N. J. Gergonne A. Mth. 15 (1824- 



25) 273-. 

 Barsotti, G. [1829] Lucca At. Ac. 11 (1842) 



113-. 

 Ribeiro de Sousa Pinto, R. Coimbra I. 3 (1855) 



130-, 185-. 

 Unferdinger, F. Grunert Arch. 29 (1857) 479-; 



33 (1859) 14-; Arch. Mth. Ps. 42 (1864) 



453-. 

 Meissel, E. Mth. A. 15 (1879) 380 ; 16 (1880) 



529-; As. Nr. 95 (1879) 69-; 96 (1880) 



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



53-. 



Study, E. D. Mth. Vr. Jbr. 2 (1893) 72-. 

 Azimuth, calculation. Le Blanc, C. M. Ev. 



Mar. et Col. 118 (1893) 326-. 

 Concurrent quadrants, theorem. Lasala, A. 



Fschr. Mth. (1892) 551. 

 Equations. Heppel, G. Mth. Gz. No. 3 (1894) 



Spherical Trigonometry. Formulas 



Formulae of Spherical Trigonometry. 



Approximation formulae. KlUgel, G. S. Bode 



As. Jb. (1803) 215-. 

 Cosine, etc. Matzka, W. Grunert Arch. 13 



(1849) 88-. 

 , . Franke, T. Grunert Arch. 17 (1851) 



309-. 

 formula, incorrect demonstration in Verdam's 



spherical trigonometry. Berg, F. J. van den. 



N. Arch. Wisk. 10 (1884) 193-. 

 Deduction of chief formulas. Cordeiro-Feyo, J. 



Lisb. Mm. Ac. Sc. 10 (1830) (pte. 2) 208-. 

 Delambre's or Gauss's analogies. Feldt, L. 



Crelle J. 7 (1831) 68-. 

 . Arndt, F. Grunert Arch. 13 



(1849) 159-. 

 . Oiartres, R. Nt. 40 (1889) 



644. 

 , mnemonic rule. Dostor, G. J. 



Grunert Arch. 30 (1858) 467- ; N. A. Mth. 5 



(1866) 417-. 

 , , note. Sylvester, J. J. Ph. 



Mg. 32 (1866) 436-. 

 , and Napier's. Crelle, A. L. Crelle 



J. 12 (1834) 348-. 

 , . Crelle, A. L. N. A. Mth. 



7 (1848) 232-. 

 , . Grunert, J. A. Grunert 



Arch. 17 (1851) 259-. 

 , . Crofton, M. W. [1869] 



L. Mth. S. P. 3 (1869-71) 13-. 

 , . Potter, A. Ens. Mth. 2 



(1900) 303-. 



, , demonstration by construc- 

 tion. Essen, E. Grunert Arch. 27 (1856) 



38-. 

 , other formulae. Gergonne, J. 



D. Gergonne A. Mth. 3 (1812-13) 348-. 

 , . Werner, 0. Grunert 



Arch. 24 (1855) 55-. 

 , . Essen, E. Grunert 



Arch. 27 (1856) 158-. 

 Determination of signs. Stolz, 0. [1870] Z. 



Mth. Ps. 16 (1871) 168-. 



Formulae derived from plane figure. Unfer- 

 dinger, F. Grunert Arch. 26 (1856) 436-; 



27 (1856) 300-. 



- involving | - 45, 45 - $ (S - A), etc. 



Unferdinger, F. Wien Sb. 58 (1868) (Ab. 2) 



30-. 

 , two. Arrest, H. d\ As. Nr. 35 (1853) 



281-. 

 Fundamental formula and proof of polar triangle 



theorem. Schreder, E. Grunert Arch. 37 



(1861) 438-. 

 formulae, easy demonstration. Grunert, J. 



A. Grunert Arch. 16 (1851) 194-. 



. a-b . A-B 

 sin sin 



Gauss'sformulffi 



-,etc. Ser- 



vois, J. F. 

 84-. 



Gergonne A. Mth. 2 (1811-12) 



468 



