An exercise book comprised primarily of calculations and equations relating to the Moon. The volume includes:

1. A note in Latin on the ellipse.

2. Distance of the Earth from Jupiter and the Sun.

3. Remarks on Simpson's theory of the Moon.

4. Observations of stars, 1689-1715.

5. Days on which transits and zenith distances of the Sun and transits of stars proper for settling the Sun's right ascension were observed by Edmond Halley, 1726-1729.

6. Right ascensions and north polar distances of stars near the equator.

7. Transits of small stars observed by Halley with the 5 ft transit instrument.

8. Mean place of the Sun's apogee, 1751-1761.

9. Correction to be applied to the maximum of any equation, with demonstrations and examples.

10. Corrections to find latitude.

11. Calculations to find 'the mean of the sines'.

12. Equations to find the Moon's longitude from observations, 1751-1760.

13. Directions sent to Charles Mason, 4 June and July 1772.

14. Rules for finding the maxima of the Moon's equations.

15. Moon's equations in longitude.

16. Mason's corrections to the Moon's equations.

17. Error, if any, in the Moon's diameter used in the reduction of James Bradley's observations of the Moon, and the true value of the maximum of the Sun's first part of the variation, which comes to its maximum at the quadratures of the Moon with the Sun.

18. Mean variation of errors of the tables and their corrections.

19. Effect of a force perpendicular to the tangent of the orbit of a body, with reference to eccentric orbits.

20. Motion of the aphelion of a planet from the action of another.

21. Equations on gravity.