HER] 



323 



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Herschel, (Sir) John Frederick William. 4. 

 On equations of differences arid their applica- 

 tion to the determination of functions from 

 given conditions. Part 1. General theory of 

 equations of differences of the 1st degree in- 

 volving one variable only : Part 2. On the 

 integration of certain particular equations of 

 differences : Part 3. On functional equations. 

 [N.B. The principle of this part is defective. 

 Auct.~] Camb. Mem. Analyt. Soc. 1813, pp. 

 65114. (Anonymous?) 



5. On a remarkable application of COTES'S 



theorem. [1812.] Phil. Trans. 1813, p. 8- 

 26. 



6. Consideration of various points of 



analysis. Phil. Trans. 1814, pp. 440-468. 



7. On the developement of exponential 



functions, together with several new theorems 

 relating to finite differences. [1815.] Phil. 

 Trans. 1816, pp. 25-45. 



8. On circulating functions, and on the 



integration of a class of equations of finite dif- 

 ferences into which they enter as coefficients. 

 Phil. Trans. 1818, pp. 144-168. 



9. On the Hyposulphurous Acid and its 



compounds. Edinb. Phil. Journ. I., 1819, pp. 

 8-29 ; Annal. de Chiraie, XIV., 1820, pp. 353- 

 363 ; Ann. Gen. Sci. Phys. III., 1820, pp. 

 305-306 ; Trommsdorff, N. Journ. d. Pharm. 

 V., 1821 (St. 2), pp. 308-321. 



10. Additional facts relative to the Hypo- 

 sulphurous Acid. Edinb. Phil. Journ. I., 1819, 

 pp. 396-400. 



- 11. On the application of a new mode of 

 analysis to the theory and summation of certain 

 extensive classes of series. Edinb. Phil. Journ. 

 II., 1820, pp. 23-33. 



12. On the optical phenomena exhibited by 



Mother-of-Pearl, depending on its internal 

 structure. Edinb. Phil. Journ. II., 1820, pp. 

 114-121. 



13. Some additional facts relating to the 



habitudes of the Hyposulphurous Acid and its 

 union with metallic oxides. Edinb. Phil. Journ. 

 IL, 1820, pp. 154-156. 



14. The refractive power of hyposulphite 



of Soda and Silver, and of nitrite of Lead. 

 Edinb. Phil. Journ. II., 1820, p. 184. 



15. On the action of crystallized bodies on 



homogeneous light, and on the causes of the 

 deviation from NEWTON'S scale in the tints 

 which many of them develope on exposure to a 

 polarized ray. [1819.] Phil. Trans. 1820, pp. 

 45-100 ; Thomson, Ann. Phil. I., 1821, pp. 115- 

 132, 160-181. 



16. On the aberrations of compound lenses 



and object-glasses. Phil. Trans. 1821, pp. 

 222-267. 



Herschel, (Sir) John Frederick William. 17. 

 On the separation of iron from other metals. 

 Phil. Trans. 1821, pp. 293-299; Annal. de 

 Chimie, XX.,, 1822, pp. 304-306; Thomson, 

 Ann. Phil. I, 1821, pp. 389-390 ; HI., 1822, 

 pp. 95-99; Schweigger, Journ. XXXII. 

 (= Jahrb. II. ), 1821, pp. 452-453. 



18. On a new method of computing occul- 



tations of the Fixed Stars. Astron. Soc. Mem. 

 I., 1822, pp. 325-328. 



19. Subsidiary Tables for facilitating the 



computation of annual tables of the apparent 

 places of forty-six principal Fixed Stars ; to 

 which is prefixed a statement of the Formulae 

 employed, and the elements adopted in their 

 construction. Astron. Soc. Mem. I., 1822, pp. 

 421-496. 



20. On certain remarkable instances of 



deviation from NEWTON'S scale in the tints 

 developed by crystals with one axis of double 

 refraction, on exposure to polarized light. 

 [1820.] Camb. Phil. Soc. Trans. I., 1822, pp. 

 21-42; Edinb. Phil. Journ. IV., 1820-21. pp. 

 334-344 ; V., 1821, pp. 334-341. 



21. On the rotation impressed by plates of 

 Rock Crystal on the planes of polarization of the 

 rays of light, as connected with certain pecu- 

 liarities in its Crystallization. [1820.] Camb. 

 Phil. Soc. Trans. I., 1822, pp. 43-52. 



22. On the reduction of certain classes of 

 functional equations to equations of finite dif- 

 ferences. [1820.] Camb. Phil. Soc. Trans. 

 I., 1822, pp. 77-88. 



23. On a remarkable peculiarity in the law 

 of the extraordinary refraction of differently- 

 coloured rays exhibited by certain varieties of 

 Apophyllite. [1821.] Camb. Phil. Soc. Trans. 

 I., 1822, pp. 241-248 ; Edinb. Phil. Journ. VII., 

 1822, pp. 136-142. 



24. Rules for the determination of the 

 radii of a double achromatic object glass. Edinb. 

 Phil. Journ. VI., 1822, pp. 391-370; Schweig- 

 ger, Journ. XXXVIII. (= Jahrb. VEIL), 1823, 

 pp. 370-387. 



25. [Letter explanatory of subsidiary 

 Tables about to be published by the Astronomi- 

 cal Society.] Astr. Nachr. I., 1823, col. 30- 

 31. 



26. On the absorption of Light by coloured 

 media, and on the colours of the Prismatic Spec- 

 trum exhibited by certain flames ; with an ac- 

 count of a ready mode of determining the abso- 

 lute dispersive power of any medium by direct 

 experiment. [1822.] Edinb. Roy. Soc. Trans. 

 IX., 1823, pp. 445-460. 



s s 2 



