6. Ob­ser­va­tions on the Analogy which subsists between the Calculus of Functions and other branches of Analysis.—Phil. Trans. 1817. P. 179.

7. Solution of some Problems by means of the Calculus of Functions.—Roy. Inst. Jour. 1817. P. 371.

8. Note respecting Elimination.—Roy. Inst. Jour. 1817. P. 355.

9. An Account of Euler’s Method of Solving a Problem relating to the Knight’s Move at Chess.—Roy. Inst. Jour. 1817. P. 72.

10. On some new Methods of Investigating the Sums of several Classes of Infinite Series.—Phil. Trans. 1819. P. 245.

11. Demonstration of a Theorem relating to Prime Numbers.—Edin. Phil. Jour. 1819. P. 46.

12. An Examination of some Questions connected with Games of Chance.—Trans. of Roy. Soc. of Edin. 1820. Vol. ix. p. 153.

13. Ob­ser­va­tions on the Notation employed in the Calculus of Functions.—Trans. of Cam. Phil. Soc. 1820. Vol. i. p. 63.

14. On the Application of Analysis, &c. to the Discovery of Local Theorems and Porisms.—Trans. of Roy. Soc. of Edin. Vol. ix. p. 337. 1820.

15. Translation of the Differential and Integral Calculus of La Croix, 1 vol. 1816.