6830 Plane Triangles 



Sides and angles, elimination problem. Diek- 

 mtnni, J. Arch. Mth. Ps. 63 (1879) 267-. 



in terms of altitudes. Huet, . N. A. 

 Mth. 5 (1846) 225-. 



bisectors of angles. Anon, (xi 54) 



N. A. Mth. 18 (1879) 311-. 

 . Gerono, C. C. N. A. 



Mth. 18 (1879) 313-. 

 Similar triangles, solution of difficulty in 



theory. Suremain-de-Missery, A. Gergonne 



A. Mth. 1 (1810-11) 129-. 

 Solution. Franchini, P. [1831] Lucca At. 



Ac. 8 (1835) 1-. 

 . Vercaet, P. J. Casopis 5 (*1876) 57-; 



Fschr. Mth. (1876) 327. 

 , 3rd case. Seidelin, C. J. L. (xn) Ts. 



Mth. 5 (1869) 8-. 

 , given a, b, C ; c found more directly. 



Wallace, (Prof.) W. [1823] Edinb. E. S. 



T. 10 (1826) 168- . 

 , , , , find c. Schnlten, N. G.af 



(fil.). [1838-43] Helsingf. Acta 1 (1840) 



151- ; Grunert Arch. 3 (1843) 1-. 



, , , , . Czuber (or Cuber), E. 



[1877] Arch. Mth. Ps. 62 (1878) 222-. 

 , 2 sides and contained angle. Girault, 



, Ferussac Bll. Sc. Mth. 15 (1831) 159-. 



without logarithmic tables. Olbers, W. 

 Zach M. Cor. 16 (1807) 539-. 



Tangents of angles, property. Garrard, W. 



Phil. Trans. (1808) 120-. 

 Theorems. Hain, E. Arch. Mth. Ps. 55 



(1873) 331-. 

 Triangle with sides in arithmetical progression. 



Lilrickf, A. Casopis 27 (1898) 141-, 220- ; 



Fschr. Mth. (1898) 442. 

 Vertex transversals. Helwig, P. I. N. Arch. 



Wisk. 17 (1890) 217- ; 19 (1892) 216- ; Fschr. 



Mth. (1890) 581 ; (1892) 527-. 



Plane trigonometry, basis. Unferdinger, F. 



Grunert Arch. 33 (1859) 429-. 

 , and spherical, analogies. Ferroni, P. 



Mod. S. It. Mm. 12 (1805) 106-. 

 Points, determination from measured directions. 



Zrzav$, F. Prag Sb. (1882) 12-. 

 , 4 in plane, relation. Luchterhandt, A. R. 



Grunert Arch. 2 (1842) 62-. 

 Porismatic equations, systems. Wolstenholme, 



J. L. Mth. S. P. 4 (1871-73) 312-. 

 Porisms, trigonometrical. Bromwich, T. J. Pa. 



Mth. Gz. 1 (1900) 331-. 

 Powers of angular functions. Crelle, A. L. 



Crelle J. 7 (1831) 253-, 314-. 

 Problem, geometrical, solution. Aubert, P. 



Edinb. Mth. S. P. 5 (1887) 23-. 

 , trigonometrical. Gardie, V. A. Cond. 



Pon. Chauss. 20 (1876) (!'' Pt.) 52-, 



113. 

 Problems , solution by continued approximations. 



Andrew*, H. (jun.). V. Nost. Eng. Mg. 31 



(1884)54-. 

 Prosthapheric method instead of logarithms. 



Braunmiihl, A. von. Bb. Mth. (1896) 105-. 

 Ptolemy's problem. Hill, G. W. [1900] As. 



J. 21 (1901) 33-. 



Trigonometry 6830 



Ptolemy's theorem and formula for cos (A - B). 

 Zanten, L. van. N. Arch. Wisk. 11 (1884) 

 188-. 



plane trigonometry. Quidde, A. 

 Grunert Arch. 23 (1854) 238-. 



Quadrilateral with sines of angles in given 



ratio. Euler, L. [1780] St Pet. Ac. Sc. 



Mm. 5 (1815) 73-. 



Quadrilaterals, cyclic, areas, simple investiga- 

 tion. Terquem, O. N. A. Mth. 3 (1844) 



219-. 



, trigonometry. Bretschneider, C. A. Gru- 

 nert Arch. 2 (1842) 225-. 

 , . Catalan, E. C. Liege S. Sc. Mm. 15 



(1888) No. 1, 167-. 

 Eadius of vision, calculation. Ramsauer, F. 



D. Alpvr. Z. 29 (1898) 81-. 

 Eational trigonometry. Caluso, (I'abbe) T. 



V. de. Turin Mm. Ac. (1809-10) 179-. 

 Eatios, generalised forms. Hatliaway, A. S. 



[1880] (xii) J. H. Un. Cir. [1] (1882) 48. 

 Eelations between sides of triangle whose angles 



satisfy a linear relation. Bang, A. S. Ts. 



Mth. 2 (1884) 53-. 

 , trigonometrical, connected with cyclotomy. 



Sparer, B. Arch. Mth. Ps. 16 (1898) 68-. 

 Ship's position, application of altitude lines. 



Delafon, (le It.) R. Ev. Mar. et Col. 120 



(1894) 509-. 

 , formulae. Ocagne, M. d\ Ev. Mar. et 



Col. 100 (1889) 305-. 

 , movements of current or another ship, 



calculation. Ja/re, P. Ev. Mar. et Col. 136 



(1898) 461-. 

 Signs of trigonometrical lines (ratios). Homer, 



W. G. Ph. Mg. 6 (1835) 86-. 

 Sine and cosine of infinity. Earwhaw, S. 



[1844] Camb. Ph. S. T. 8 (1849) 255-. 



of half arc. Aynard, . N. A. Mth. 5 

 (1846) 399-. 



Sines, calculation. Bach, . N. A. Mth. 12 

 (1853) 108- . 



and cosines of angle and half angles. 

 Bouvier, L. C. Gergonne A. Mth. 15 (1824- 

 25) 56-. 



, etc., calculation. Bakewell, T. If. 



Franklin I. J. 7 (1844) 221-. 



of irrational angles. Gylden, H. 

 [1867] Helsingf. Acta 9 (1871) 73-. 



multiple and sub-multiple angles. 



Pezzi, F. [1803] Mod. S. It. Mm. 11 (1804) 

 10-. 



, products, expansion. Verdon, R. 

 [1877] Mess. Mth. 7 (1878) 122-. 



or cosines, products of four, theorems. 

 Glaisher, J. W. L. Mess. Mth. 10 (1881) 

 26-. 



and cosines, tables, calculation. Grunert, 

 J. A. Grunert Arch. 6 (1845) 205-. 



in terms of arc, new approximations. 



Buquoy, G. von. Oken Isis 21 (1828) 1088. 



for every 3 degrees, table. Lambert, C. J. 

 N. A. Mth. 12 (1853) 284-. 



of first quadrant from degree to degree, pro- 

 duct. Laisant, C. A. As. Fr. C. E. (1875) 

 159-. 



, fundamental theorem. Encontre, D. Mntp. 

 Eec. Bll. 2 (1805) 219-. 



467 



GG 2 



