Notices respecting Neiv Books . 4-67 



— 9. Geometrical porisms, bv Mr, Nonle.— iO. Dlophan- 

 liiie problems, by Mr. Cuiilifte.— 1 1. Problems relating to 

 the twilicrht of shortest duration, by Astrononiicus. — 12. 

 Certain fluents expressible by an elliptic arch, by Mr. Ciui- 

 liflTe. — Part 3(1 is composed of mathematical memoius 

 extracted from works of eminence, and contains, 1. So- 

 lutions of some problems relative to spherical triangles, 

 together with a complete analysis of these triangles, by La 

 Grange. From Journal cle l Ecole Polylecknique. — 2. Art 

 Essay"^ on numerical analysis and the transformation of 

 fractions, bv the same author, and from the same work. — 

 3. On the inverse method of central forces, by Mr. Johu 

 Dawson. From the Manchester Memoirs. 



Vol. TI. part 1st, consists of a hundred and twenty 

 questions, each with several answers. Part 2d contams 

 the followinc; original articles: — I. Demonstration of a 

 proposition in mechanics, by A. B. — 2. On the motion of 

 pendulums whose points of suspension are moveable, by 

 Mr. Gouoh. — 3. An ocular demonstration of the forty- 

 sevenih proposition of the first book of Euclid, by Mr. 

 Douglas. — 4 and 5. On the sums of certain infinite series, 

 bv Mr. Cunliffe. — 6. Solution of a dynamical quesf/on, by 

 Mr. Barry. — 7- Some properties of parallelograms, with 

 the application of them to the moments of forces, by Mr. 

 Gough. — 8. Solutions of some mechanical problems, by 

 A. B. — 9. A diophantine problem, by Mr. Cunlifie. — 

 JO. The ihcorv of amicable numbers, by Mr. Gough, — • 

 11. A new solution of a problem in insurance of money 

 on lives, by Philalethes Cantabriglensis. — 12. To find the 

 sums of certain infinite series, by Mr. Cuiiliff'e. — 13. On 

 the attraction of an infinite solid elliptic cylinder, by Mr. 

 Knight. — 14. Two indeterminate problems, by Mr. Cun- 

 liffe. — 15. On the proportionality of the force to the velo- 

 city, and on the composition of forces, by Mr. Knight. — 

 16. On the composition of rotatory motions, by Mr. 

 Knight. — 17. On the expansion of certain functions, bv 

 Mr. Knight. — 18. On ll»c expansion of any function of a 

 multinomial, by Mr. Knight. — 19. Demonstration of 3 

 theorem, in the diophantine analvsis, by Mr. Barlow. — 

 20. Mr. Knight on the binomial theorem. — 91. A, dy- 

 namical principle, with some examples, by Mr. Barley. 

 Part 3d contains a memoir on elliptic transcendentals, by 

 Lc Gendre. Read to the cidevant Acaden)y of Sciences 

 in April 1792. 



We understand that the first volume of ibc Transactions 

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