6. Confirmation of the explanations regarding the uniform motions of the Moon in longitude and anomaly The "anomaly" is an astronomical term for the angle used to track a celestial body's position in its orbit..
7. On the positions of the Moon's longitude and anomaly.
8. On the second variation of the Moon, and the ratio of the first epicycle An "epicycle" is a small circle whose center moves around the circumference of a larger circle; this was a key tool in ancient and Renaissance astronomy to explain complex orbits. to the second.
9. On the remaining variation, by which the Moon appears to move nonuniformly from the highest point of its epicycle The "highest point" (summa absis) is the point furthest from the center of motion, often called the apogee..
10. How the apparent motion of the Moon is demonstrated from given uniform motions.
11. A standard original: "canonica" presentation of the prosthaphaereses The 'p' in 'prosthaphaerēsuū' has a horizontal stroke indicating 'pro' A "prosthaphaeresis" is a correction added or subtracted to a mean motion to determine the true, observed position of a planet., or the lunar equations.
12. On the calculation of the lunar course.
13. How the motion of the Moon's latitude In astronomy, "latitude" refers to the distance of a celestial body north or south of the ecliptic (the Sun's apparent path through the sky). is examined and demonstrated.
14. On the positions of the Moon's anomaly of latitude.
15. The construction of the parallactic instrument A tool used by astronomers to measure the "parallax" or apparent shift of the Moon against the stars..
16. On the parallaxes original: "commutationibus," literally "changes" or "shifts," used here as a technical term for parallax. of the Moon.
17. A demonstration of the Moon's distance from the Earth, and the ratio in parts where the distance from the center of the Earth to its surface is one unit.
18. On the diameter of the Moon and the Earth's shadow at the point where the Moon passes through.
19. How the distances of the Sun and Moon from the Earth, their diameters, the shadow at the Moon's crossing, and the axis of the shadow are demonstrated together.
20. On the size of these three celestial bodies—the Sun, Moon, and Earth—and their comparison to one another.
21. On the apparent diameter of the Sun and its parallaxes.
22. On the varying apparent diameter of the Moon and its parallaxes.
23. What the ratio of the variation in the Earth's shadow is.
24. A standard original: "canonica" presentation of the specific parallaxes of the Sun and Moon on the circle that passes 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 those things explained regarding the Moon's parallaxes.
28. On the mean The "mean" position is the average or uniform position, as opposed to the "true" or apparent position. conjunctions and oppositions of the Sun and Moon.
29. On investigating the true conjunctions and oppositions of the Sun and Moon.
30. How conjunctions and oppositions of the Sun and Moon that cause eclipses are distinguished from others.
31. How great the eclipse original: "defectus," literally a "failing" or "lack" of light. of the Sun and Moon was.
32. On predicting how long an eclipse will last.

BOOK FIVE.

1. On their revolutions and uniform motions.
2. A demonstration of the uniform and apparent motion of these stars according to the opinion of the ancients.
3. A general demonstration of the apparent nonuniformity caused by the motion of the Earth.
4. In what ways the proper motions of the wandering stars The "wandering stars" (planetae) are the planets. appear nonuniform.
5. Demonstrations of the motion of Saturn.
6. On three other acronychal observations An "acronychal" observation is made when a planet is in opposition to the sun, meaning it rises at sunset and is visible all night. recently made concerning Saturn.
7. On the examination of the motion of Saturn.
8. On establishing the positions of Saturn.
9. On the parallaxes original: "commutationibus" of Saturn that result from the annual orbit of the Earth, and how great its distance is.
10. Demonstrations of the motion of Jupiter.