On the Revolutions of the Heavenly Spheres

13. On the rising and setting of the stars.
14. On determining the positions of the stars, and a canonical In this context, "canonical" refers to a standard or authoritative list or table. description of the fixed stars.

BOOK THREE.

1. On the anticipation of the equinoxes and solstices This refers to "precession," the slow change in the orientation of Earth's rotational axis..
2. A history of observations confirming the unequal precession of the equinoxes and solstices.
3. Hypotheses by which the shift of the equinoxes, the obliquity of the zodiac original: "signiferi," literally the "sign-bearer," a common Latin term for the zodiacal circle., and the celestial equator is demonstrated.
4. How reciprocal motion, or libration, is composed of circular motions.
5. A demonstration of the inequality of the anticipating equinoxes and the obliquity.
6. On the uniform motions of the precession of the equinoxes and the inclination of the zodiac.
7. What the maximum difference is between uniform and apparent precession of the equinoxes.
8. On their particular mutual differences, and a canonical explanation of them.
9. On the examination and correction of those things set forth concerning the precession of the equinoxes.
10. What the maximum difference is between the intersections of the celestial equator and the zodiac.
11. On establishing the positions of the uniform motions of the equinoxes and the anomaly In astronomy, an "anomaly" is an angle used to describe the position of a body moving along an orbit..
12. On the calculation of the precession of the vernal equinox and the obliquity.
13. On the magnitude and variation of the solar year.
14. On the uniform and mean motions of the revolutions of the Earth's center.
15. Preliminary theorems for demonstrating the inequality of the Sun’s apparent motion.
16. On the apparent inequality of the Sun.
17. A demonstration of the first and annual solar inequality, with its particular differences.
18. On the examination of uniform motion in longitude.
19. On establishing the positions and starting points for the uniform motion of the Sun.
20. On the second and double difference which occurs concerning the Sun because of the change of the apsides original: "absidum." The apsides are the points in an orbit where a celestial body is either closest to or farthest from the center of its motion..
21. How great the second difference of solar inequality is.
22. How the uniform motion of the solar apogee is explained together with the variation.
23. On the correction of the Sun's anomaly and establishing its positions.
24. A canonical explanation of the differences between uniform and apparent motion.
25. On the calculation of the Sun's appearance.
26. On the Nychthemeron original: "Νυχθημέρῳ." A Greek term for the "natural day," meaning the full 24-hour period of one day and one night., that is, the difference of the natural day.

BOOK FOUR.

1. Hypotheses of the lunar circles according to the opinion of the ancients.
2. On the deficiency of those assumptions.
3. Another opinion concerning the motion of the Moon.
4. On the revolutions of the Moon and its particular motions.
5. A demonstration of the first inequality of the Moon, which occurs at the new and full moons.