BRI] 



628 



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Brinkley, John. 4. On the orbits in which 

 bodies revolve, being acted upon by a centripetal 

 force varying as any Function of the Distance, 

 when those orbits have two Apsides. [1801.] 

 Irish Acad. Trans. V1IL, 1802, pp. 215-232. 



5. An examination of various solutions of 



KEPLER'S Problem, and a short practical solu- 

 tion of that problem pointed out. [1802.] 

 Irish Acad. Trans. IX., 1803, pp. 83-132. 



6. On determining innumerable portions of 



a Sphere, the Solidities and Spherical Superficies 

 of which portions are at the same time assignable 

 algebraically. [1801.] Irish Acad. Trans. 

 VIII., 1802, pp. 513-525. 



7. A theorem for finding the Surface of an 



Oblique Cylinder, with its geometrical demon- 

 stration ; also an Appendix containing some 

 observations on the methods of finding the 

 Circumference of a very excentric Ellipse ; 

 including a geometrical demonstration of the 

 property of Elliptic Areas discovered by Count 

 FAGNAXI. [1802.] Irish Acad. Trans. IX., 

 1803, p. 145. 



8. On Sir Isaac NEWTON'S first solution 

 of the problem for finding the Relation between 

 Resistance and Gravity, that a body may be 

 made to describe a given curve ; and the source 

 of error in that solution pointed out. [1807.] 

 Irish. Acad. Trans. XL, 1810, pp. 45-60. 



9. An investigation of the general term of an 



important Series in the inverse method of Finite 

 Differences. Phil. Trans. 1807, pp. 114-132. 



1O. Investigations relative to the problem 

 for clearing the Apparent Distance of the Moon 

 from the Sun, or a Star, from the effects of 

 Parallax and Refraction, and an easy and concise 

 method pointed out. [1808.] Irish Acad. Trans. 

 XI., 1810, pp. 69-86. 



11. On the annual Parallax of a Lyroe. 



Phil. Trans. 1810, p. 204. 



12. An account of observations made at 

 the Observatory of Trinity College, Dublin, 

 with an asti'onomical circle eight feet in dia- 

 meter, which appear to point out an annual 

 Parallax in certain fixed stars. Also, a Cata- 

 logue of North Polar distances of forty-seven 

 principal fixed Stars, from recent observations 

 and a comparison thereof Avith those of the 

 same Stars, obtained by other instruments and 

 by the same instrument at a former period. 

 [1814.] Irish Acad. Trans. XII., 1815, pp. 33- 

 77, 119-124. 



13. Analytical investigation respecting 



Astronomical Refractions, and the application 

 thereof to the formation of convenient tables, 

 together with the results of observations of 

 Circumpolar Stars, tending to illustrate the 

 theory of Refractions. [1814.] Irish Acad. 

 Trans. XII., 1815, pp. 77-118. 



Brinkley, John. 14. Investigations in physical 

 astronomy, principally relative to the Mean 

 Motion of the Lunar Perigee. [1817.] Irish 

 Acad. Trans. XIIL, 1818, pp. 25-52. 



15. Observations relative to the form of 

 the Arbitrary Constant Quantities that occur in 

 the integration of certain Differential Equations, 

 and also in the integration of a certain Equa- 

 tion of Finite Differences. [1817.] Irish Acad. 

 Trans. XIIL, 1818, pp. 53-62. 



16. A method of computing Astronomical 



Refractions for objects near the horizon. [1820.] 

 Irish Acad. Trans. XIIL, 1818, pp. 165-174. 



17. A method of correcting the approxi- 

 mate elements of the Orbit of a Comet, and the 

 application of the same to observations made at 

 the Observatory of Trinity College, Dublin, on 

 the comet of July, 1819. [1820.] Irish Acad. 

 Trans. XIIL, 1818, pp. 189-198. 



18. On the Parallax of certain fixed stars. 



Phil. Trans. 1818, pp. 275-302. 



19. The results of observations made at 



the Observatory of Trinity College, Dublin, for 

 determining the obliquity of the Ecliptic and 

 the maximum of the Aberration of Light. Phil. 

 Trans. 1819, pp. 241-248. 



2O. Observations and elements of the 



orbit of the Great Comet of 1819. Quart. 

 Journ. Sci. IX., 1820, pp. 164-167. 



21. An account of observations made with 

 the 8-feet astronomical circle at the Observatory 

 of Trinity College, Dublin, since the beginning 

 of the year 1818, for investigating the effects of 

 Parallax and Aberration on the places of certain 

 fixed stars ; also, the comparison of these with 

 former observations for determining the effects 

 of Lunar Nutation. Phil. Trans. 1821, pp. 327- 

 360. 



22. Extracts from two papers on Refrac- 

 tion. [1814-20.] Quart. Journ. Sci. XL, 1821, 

 pp. 364-370. 



23. Observations on M. DELAMBRE'S re- 

 marks relative to the problem of finding the 

 Latitude from two Altitudes, and the Time 

 between. Quart. Journ. Sci. XL, 1821, pp. 370- 

 372. 



24. The results of computations relative to 



the parallax of a Lyra?, from observations made 

 with the Greenwich Mural Circle. [1823.] 

 Astron. Soc. Mem. I., 1822, pp. 329-340. 



25. An easy method of computing the 



Aberration of the Stars. Quart. Journ. Sci. 

 XIL. 1822, pp. 151-154. 



26. Elements of Captain HALL'S Comet. 

 Phil. Trans. 1822, pp. 50-63. 



27. On the North Polar Distances of the 

 principal fixed stars. [1823.] Phil. Trans.. 

 1824, pp. 50-84. 



