6830 



Trigonometry, Plane and Spherical 



6830 



Straight lines, vector, addition of. Matzka, W. 



[1868] Prag Ab. 2 (1869) 63 pp. 

 Triangle of given shape, one vertex at given 



point, others on given straight lines. 



Hachette, J. N. P. [1826] Brux. Ac. Sc. 



Mm. 4 (1827) 91-. 

 Vault, hemispherical, theorem. Bossut, C. 



Par. Mm. de PL 2 (1796) 226-. 

 Vaulting, cross-, of round tower. Hachette, J. 



N. P. Par. S. Phlm. Bll. (1833) 68-. 

 Vaults, mensuration, problems. Masetti, G. 



Bologna Opusc. Sc. 2 (1818) 263-. 



6830 Trigonometry, plane and 

 spherical. 



Mollu-eide, C. Zach M. Cor. 18 (1808) 394-. 

 Heegmann, A. Lille Mm. S. (1849) 487-. 

 Fenwick, S. Mathematician 3 (1850) 250-. 

 Isely, L. Neuch. S. Sc. Bll. 13 (1883) 230-. 

 Study, E. Leip. Mth. Ps. B. 47 (1895) 



532-. 



Cwojdzinski, K. Arch. Mth. Ps. 17 (1900) 1-. 

 Addition theorems, general proof. Philip, W. E. 



Edinb. Mth. S. P. 18 (1900) 103-. 

 Analytical trigonometry. Strong, T. Am. Ph. 



S. P. 3 (1843) 49-. 

 . Root, 0. Camb. (M.) Mth. M. 2 (1860) 



190-. 

 Angles, composition. Roche, . [1830] 



Quetelet Cor. Mth. 7 (1832) 39-. 

 , determination from trigonometrical func- 

 tion, or of function from angle. Herrmann, 



. Wien SB. (1848) 465-. 

 , projection and measurement. Patterson, R. 



[1801] Am. Ph. S. T. 6 (1809) 29-. 

 , reduction problems. Evans, T. S. Tilloch 



Ph. Mg. 28 (1807) 25-, 129-. 

 , sums, trigonometrical functions of, and 



relations between angles of a polygon. 



Seipp, . Arch. Mth. Ps. 7 (1889) 27-. 

 , , ratios. Burckhardt, J. K. Erfurt 



N. Acta 1 (1799) 293-. 

 Angular compensation, general case. Venturi, 



A. Palermo Cir. Mt. Ed. 4 (1890) 269-. 



measurement, errors in. Marroquin y 

 Rivera, M. Mex. S. "Alzate" Mm. 2 

 (1888) 132-. 



unit, calculation to many places. Glaisher, 

 J. W. L. L. Mth. S. P. 4 (1871-73) 308-. 



, natural. Matzka, W. Grunert Arch. 



8 (1846) 400-. 

 , selection. Hottel, J. C. B. 70 (1870) 



1387- . 

 Anharmonic ratios and trigonometry. Mobius, 



A. F. Crelle J. 24 (1842) 85-. 

 Apparent enlargement of mountains. Fontes, 



. As. Fr. C. B. (1892) (Pt. 2) 966-. 

 Approximations, accurate determination of <f> 



when sin or cos c/> nearly 1. Grunert, 



J. A. Grunert Arch. 1 (1841) 73-. 

 , arcs in terms of sine or cosine. Yanishevskil, 



E. P. (xii) Kazan Un. Mm. (1855) (Bk. 4) 



119-. 

 , . Lampe, E. Mathesis 



17 (1897) 129-, 153-, 183-. 



Approximations, circular sector, construction 



of triangle of nearly equal area. Collignon , E. 



N. A. Mth. 13 (1874) 389-. 

 , Euler's formula. Glaisher, J. W. L. Mess. 



Mth. 7 (1878) 190-. 

 , , demonstration. Realis, S. N. A. 



Mth. 9 (1870) 12-. 

 , hyperbolic formulae, algebraic signs. 



Macloskie, G. A. Mth. 8 (1893-94) 53-. 

 , inaccuracy of formulae in certain cases, 



correction. Nell, A. M. Arch. Mth. Ps. 



49 (1869) 104-. 



, Poncelet's formulae, elementary demonstra- 

 tion. Fort, 0. Schlomilch Z. 2 (1857) 412-. 

 , sin = = tan 0, error in assuming, when 



small. Matzka, W. Grunert Arch. 13 (1849) 



138-. 

 , sin > - ^ 3 , demonstration. Raicson, R. 



Mess. Mth. 3 (1866) 101-. 



, sin0<0- , geometrical demonstration. 



Jo/roy, J. N. A. Mth. 14 (1875) 171-. 

 Arc of ecliptic and equator, problem of Begio- 

 montanus. Delambre, J. B. J. Con. des 

 Temps (1818) 284-. 



and sine, difference. Deladereere, A. N. 

 A. Mth. 2 (1843) 494-. 



, (Pappus). Terquem, O. N. A. 



Mth. 3 (1844) 49-. 

 , , limit of error. Lionnet, E. N. A. 



Mth. 2 (1843) 216-. 

 Arc = tan = sin for small angles. Wolfers, J. P. 



Grunert Arch. 30 (1858) 359-. 

 Arcs of first quadrant, lines, calculation. 



Gelin, E. Mathesis 8 (1888) (Suppl. 3) 1-. 

 , multiplication, application of formula. 



Goursat, E. N. A. Mth. 14 (1895) 245-. 

 , small, computation. Wurm,J.F. Lindenau 



Z. 5 (1818) 188-. 



trisecting circle, property of tangents. 

 Maskelyne, N. Phil. Trans. (1808) 122-. 



Area and sum of angles for triangle and quadri- 

 lateral, geometrical theorems. Veltmann, W. 



Arch. Mth. Ps. 17 (1900) 442-. 

 Cayley's theorem. Airy, G. B. Ph. Mg. 17 



(1859) 176-. 

 Chords in circle, theorem. Le Cointe, L. A. 



N. A. Mth. 1 (1842) 508-. 

 .values (Ptolemy). Arnott,G.A.W. Tilloch 



Ph. Mg. 52 (1818) 454-. 

 Circle and trigonometry, general geometry. 



Tarry, G. As. Fr. C. E. (1891) (Pt. 2) 



90-. 

 Circles in and about quadrilateral, radii. 



Milinowski, . Z. Mth. Ps. 23 (1878) 139-. 

 , tracing on uneven ground. Hinard, . 



A. Cond. Pon. Chauss. 14 (1870) 117-. 

 Circular functions of 30 and 50. Anglin, A. H. 



Edinb. B. S. P. 21 (1897) 453-. 

 Circumference, approximate construction. 



Lemoine, E. Par. S. Mth. Bll. 23 (1895) 



242-. 

 Clouds, heights, determination. Besson, L. 



Bv. Sc. 48 (1891) 58-. 

 Colour analogy, trigonometrical. PlaSil, J. 



Casopis 5 (*1876) 32-; Fschr. Mth. (*1876) 



333. 



461 



