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OF THOSE THINGS
1. That the universe original: "mundus." In this period, "mundus" referred to the entire cosmos or universe, not just the planet Earth. is spherical.
2. That the earth also is spherical.
3. How the earth, along with the water, forms a single globe.
4. That the motion of the heavenly bodies is uniform, circular, and perpetual, or composed of circular motions.
5. Whether a circular motion belongs to the earth, and concerning its location.
6. On the immense size of the heavens compared to the size of the earth.
7. Why the ancients thought that the earth remained at rest in the middle of the universe as its center.
8. A solution to the aforementioned reasons, and their inadequacy.
9. Whether several motions can be attributed to the earth, and concerning the center of the universe.
10. On the order of the heavenly spheres.
11. A demonstration of the threefold motion of the earth Copernicus proposed that the Earth has three distinct movements: its daily rotation, its annual revolution around the Sun, and a third motion to explain the shifting of its axis..
12. On the length of straight lines in a circle This chapter serves as a mathematical introduction to trigonometry, specifically dealing with "chords," which were used before the modern "sine" function became standard..
13. On the sides and angles of plane rectilinear triangles.
14. On spherical triangles.
1. On the circles and their names.
2. On the obliquity of the zodiac original: "signiferi," literally the "sign-bearer." and the distance between the tropics, and how these are determined.
3. On the circumferences and angles of the intersection of the circles—the equator original: "aequinoctialis.", the zodiac, and the meridian—from which declination and right ascension are derived, and their calculation.
4. How the declination and right ascension of any star located outside the ecliptic original: "circulum qui per medium signorum est," the circle that passes through the middle of the signs. may be found, provided its latitude and longitude are known, and with what degree of the zodiac it reaches the meridian.
5. On the sections of the horizon original: "finitoris," the "limiter.".
6. What the differences in midday shadows are.
7. How the longest day, the latitude of sunrise, and the inclination of the sphere are demonstrated through one another, and other differences between days.
8. On the hours and parts of day and night.
9. On the oblique ascension of the parts of the zodiac, and how for any given degree rising, the one that reaches the meridian is determined.
10. On the angle of the intersection of the zodiac with the horizon.
11. On the use of these tables.
12. On the angles and circumferences of those circles that pass through the poles of the horizon to the same zodiacal circle.