Undated astronomical computations, tables, rules and observations, including:

1. The rules for finding the constant number to be added to the longitude of the Moon to find the argument of deviation in regard to specified stars.

2. Rules for finding the aberration of a star in longitude, latitude, right ascension and north polar distance.

3. Stars in the British Catalogue.

4. To find the nonagesimal degree and its altitude with reference to various places.

5. To find the variation of right ascension and declination of any celestial object.

6. Corrections to be applied to the stars' right ascensions.

7. Edmond Halley's manuscript observations, vol. I: observations of circumpolar stars.

8. The method for computing the two tables at the end of Johann Mayer's tables for correcting ecliptic right ascension and declination.

9. To find the apparent altitudes of the Moon and Aldebaran in order to compute the effect of refraction.

10. Parallax and refraction computed using Mr Durtherne's new tables and calculations using various examples.

11. Method for computing the Moon's altitude.

12. To compute the time of the beginning or end of an eclipse of the Sun, and the time of the middle of the eclipse.

13. Computation for an occultation of a star.

14. Star observations in relation to the Moon's longitude.

15. Rules for finding that part of the deviation in right ascension which is different for different stars.

16. To find the altitude of the nonagesimal.

17. The difference of altitudes of the Moon or a star in a spheroid to what they would be in a sphere.

18. Aberrations of bodies in right ascension and declination.

19. Various equations and the Moon's latitude.

20. Occultations of the stars by the Moon.