On the Revolutions of the Heavenly Spheres

6. Confirmation of the things set forth concerning the uniform motions of the Moon in longitude and anomaly the angular distance of a planet or the Moon from its furthest point from Earth.
7. On the positions of Lunar longitude and anomaly.
8. On the second difference of the Moon, and the ratio of the first epicycle a small circle whose center moves around the circumference of a larger one to the second.
9. On the remaining difference, by which the Moon is seen to move non-uniformly from the highest apsis the point of greatest or least distance from the center of motion of the epicycle.
10. How the apparent lunar motion is demonstrated from given uniform motions.
11. Canonical exposition a set of mathematical tables of the prosthaphæreses original: prosthaphæresiū; corrections added or subtracted to find the true position from the mean position, or lunar equations.
12. On the calculation of the lunar course.
13. How the motion of lunar latitude is examined and demonstrated.
14. On the positions of the anomaly of the Moon's latitude.
15. The construction of the parallactic instrument an instrument used to measure the parallax or altitude of stars.
16. On the parallaxes original: commutationibus; the change in an object's apparent position when viewed from different points of the Moon.
17. Demonstration of the Moon's distance from the Earth, and the ratio in units where one unit is the distance from the center of the Earth to its surface.
18. On the diameter of the Moon and the Earth's shadow, at the place of the Moon's passage.
19. How the distance of the Sun and Moon from the Earth, their diameters, the shadow at the Moon’s passage, and the axis of the shadow are demonstrated together.
20. On the magnitude of these three heavenly bodies—the Sun, Moon, and Earth—and their relationship to one another.
21. On the apparent diameter of the Sun and its parallaxes (comparison).
22. On the non-uniform apparent diameter of the Moon and its parallaxes.
23. What the reason is for the variation in the Earth's shadow.
24. Mathematical table of the particular parallaxes of the Sun and Moon in the circle passing through the poles of the horizon.
25. On the calculation of the parallax of the Sun and Moon.
26. How the parallaxes of longitude and latitude are distinguished.
27. Confirmation of the things set forth concerning the parallaxes of the Moon.
28. On the mean average or uniform conjunctions and oppositions of the Sun and Moon.
29. On investigating the true conjunctions and oppositions of the Sun and Moon.
30. How the ecliptic conjunctions and oppositions of the Sun and Moon are distinguished from others. The Latin verb discernantur was split between the end of line 30 and the margin of line 31.
31. How great the eclipse of the Sun and Moon was.
32. For foreknowing how long the eclipse will last.

1. On their revolutions and mean motions.
2. Demonstration of the uniformity and appearance of these stars, according to the opinion of the ancients.
3. General demonstration of the apparent non-uniformity caused by the motion of the Earth.
4. In what ways the proper motions of the planets original: errantium, literally "the wanderers" appear non-uniform.
5. Demonstrations of the motion of Saturn.
6. On three other acronychal original: acronychijs; refers to a planet being in opposition to the sun, rising at sunset sightings recently observed concerning Saturn.
7. On the examination of Saturn’s motion.
8. On establishing the positions of Saturn.
9. On the parallaxes of Saturn which result from the annual orbit of the Earth, and how great its distance is.
10. Demonstrations of the motion of Jupiter.