**Table of contents**

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REVOLUTIONS BOOK ONE | ||

REVOLUTIONS BOOK TWO | ||

REVOLUTIONS BOOK THREE | ||

REVOLUTIONS BOOK FOUR | ||

REVOLUTIONS BOOK FIVE | ||

REVOLUTIONS BOOK SIX |

REVOLUTIONS BOOK ONE | 1r | |||

Ch. 1: The Universe Is Spherical | 1v | |||

Ch. 2: The Earth Too Is Spherical | 2r | |||

Ch. 3: How Earth Forms a single Sphere with Water | 2r | |||

Ch. 4: The Motion of the Heavenly Bodies Is Uniform, Eternal, and Circular or Compounded of Circular Motions | 3r | |||

Ch. 5: Does Circular Motion Suit the Earth? What Is its Position? | 3v | |||

Ch. 6: The Immensity of the Heavens Compared to the Size of the Earth | 4v | |||

Ch. 7: Why the Ancients Thought that the Earth Remained at Rest in the Middle of the Universe as its Center | 5v | |||

Ch. 8: The Inadequacy of the Previous Arguments and a Refutation of them | 6r | |||

Ch. 9: Can Several Motions Be Attributed to the Earth? The Center of the Universe | 7v | |||

Ch. 10: The Order of the Heavenly Spheres | 8r | |||

Ch. 11: Proof of the Earths Triple Motion | 10r | |||

Ch. 12: Straight Lines Subtended in a Circle | 13r | |||

Table of the Straight Lines Subtended in a Circle | 15v | |||

Ch. 13: The Sides and Angles of Plane Rectilinear Triangles | 19v | |||

Ch. 14: Spherical Triangles | 20v | |||

REVOLUTIONS BOOK TWO | 26v | |||

Ch. 1: The Circles and their Names | 26v | |||

Ch. 2: The Obliquity of the Ecliptic, the Distance between the Tropics, and the Method of Determining These Quantities | 27r | |||

Ch. 3: The Arcs and Angles of the Intesections of the Equator, Ecliptic, and Meridian; the Derivation of the Declination and Right Ascension from These Arcs and Angles, and the Computation of them | 27v | |||

Table of Declinations [of the Degrees of the Ecliptic] | 29r | |||

Table of Right Ascensions | 29v | |||

Table of Meridian Angles | 30r | |||

Ch. 4: For Every Heavenly Body Situated outside the Ecliptic, provided that the Bodys Latitude and Longitude Are Known, the Method of Determining its Declination, its Right Ascension, and the Degree of the Ecliptic with which it Reaches Mid-Heaven | 31r | |||

Ch. 5: The Intersections of the Horizon | 31r | |||

Ch. 6: The Differences in Noon Shadows | 31v | |||

Ch. 7: How to Derive from one another the Longest Day, the Distance between Sunrises, and the Inclination of the Sphere; the Remaining Differences between Days | 32v | |||

Table of the Difference in the Ascensions on an Oblique Sphere | 34r | |||

Ch. 8: The Hours and Parts of the Day and Night | 36v | |||

Ch. 9: The Oblique Ascension of the Degrees of the Ecliptic; How to Determine What Degree Is at Mid-Heaven when Any Degree Is Rising | 36v | |||

Ch. 10: The Angle at which the Ecliptic Intersects the Horizon | 37r | |||

Table of the Ascensions of the Zodiacal Signs in the Revolution of the Right Sphere | 38r | |||

Table of the Ascensionsin the Oblique Sphere | 39r | |||

Table of the Angles made by the Ecliptic with the Horizon | 40r | |||

Ch. 11: The Use of These TAbles | 40v | |||

Ch. 12: The Angles and Arcs of Those Circles which Are Drawn through the Poles of the Horizon to the Ecliptic | 40v | |||

Ch. 13: The Rising and Setting of the Heavenly Bodies | 41r | |||

Ch. 14: The Investigationof the Places of the Stars, and the Arrangement of the fixed Stars in a Catalogue | 42r; 46v | |||

Descriptive Catalogue of the Signs and Stars: I. Those which Are in the Northern Region | 52r | |||

II. Those which Are in the Middle and near the Zodiac | ||||

III. Those which Are in the Southern Region | ||||

REVOLUTIONS BOOK THREE | 71r | |||

Ch. 1: The Precession of the Equinoxes and Solstices | 71r | |||

Ch. 2: History of the Observations Proving that the Precession of the Equinoxes and Solstices Is Not Uniform | 71v | |||

Ch. 3: Hypotheses by which the Shift in the Equinoxes as well as in the Obliquity of the Ecliptic and Equator May Be Demonstrated | 73r | |||

Ch. 4: How an Oscillating Motion or Motion in Libration Is Constructed out of Circular [Motions] | 74v | |||

Ch. 5: Proof of the Nonuniformity in the Precession of the Equinoxes and in the Obliquity | 75v | |||

Ch. 6: The Uniform Motions of the Precession of the Equinoxes and of the Inclination of the Ecliptic | 78r | |||

The Uniform Motion of the Precession of the Equinoxes in Years and Periods of Sixty Years | 80r | |||

The Uniform Motion of the Precession of the Equinoxes in Days and Periods of Sixty Days | 80v | |||

The Nonuniform Motion of the Equinoxes in Years and Periods of Sixty Years | 81r | |||

The Nonuniform Motion of the Equinoxes in Days and Periods of Sixty Days | 81v | |||

Ch. 7: What Is the Greatest Difference between the Uniform and the Apparent Precession of the Equinoxes? | 82r | |||

Ch. 8: The Individual Differences between These Motions, and a Table Exhibiting Those Differences | 83r | |||

Table of the Prosthaphaereses of the Equinoxes and of the Obliquity of the Ecliptic | 84r | |||

Ch. 9: Review and Correction of the Discussion of the Precession of the Equinoxes | 84v | |||

Ch. 10: What Is the Greatest Variation in the Intersections of the Equator and Ecliptic? | 76r | |||

Ch. 11: Determining the Epochs of the Uniform Motions of the Equinoxes and the Obliquity | 85r | |||

Ch. 12: Computing the Precession of the Vernal Equinox and the Obliquity | 86r | |||

Ch. 13: The Length and Nonuniformiyu of the Solar Year | 87r | |||

Ch. 14: The Uniform and Mean Motions in the Revolutions of the Earths Center | 89v | |||

Table of the Suns Simple Uniform Motion in Years and Periods of Sixty Years | 90r | |||

Table of the Suns Simple Uniform Motion in Days, Periods of SixtyDays, and Minutes of a Day | 90v | |||

Table of the Suns Uniform Composite Motion in Years and Periods of Sixty Years | 93r | |||

Table of the Suns Uniform Composite Motion in Days, Periods of SixtyDays, and Minutes | 93v | |||

Table of the Suns Uniform Motion in Anomaly in Years and Periods of Sixty Years | 91r | |||

Table Suns Anomaly in Days and Periods of SixtyDays | 91v | |||

Ch. 15: Preliminary Theorems for Proving the Nonuniformity of the Suns Apparent Motion | 94v | |||

Ch. 16: The Suns Apparent Nonuniformity | 96v | |||

Ch. 17: Explanation of the First and Annual Solar Inequality, together with its Particular Variations | 98r | |||

Ch. 18: Analysis of the Uniform Motion in Longitude | 98r | |||

Ch. 19: Establishing the Positions and Epochs for the Suns Uniform Motion | 99r | |||

Ch. 20: The Second and Twofold Inequality Imposed on the Sun by the Shift of Apsides | 99v | |||

Ch. 21: How Large Is the Second Variation in the Solar Inequality? | 101r | |||

Ch. 22: How thw Solar Apogees Uniform and Nonuniform Motions Are Derived | 102r | |||

Ch. 23: Determining the Solar Anomaly and Establishing its Positions | 102r | |||

Ch. 24: Tabular Presentation of the Variations in the Uniform and Apparent [Solar Motions] | 102v | |||

Table of the Solar Prosthaphaereses | 103r | |||

Completion of the Table of the Solar Prosthaphaereses | 103v | |||

Ch. 25: Computing the Apparent Sun | 104r | |||

Ch. 26: The Nuchthemeron, that Is, the Variable Natural Day | 104v | |||

REVOLUTIONS BOOK FOUR | 106v | |||

Ch. 1: The Hypotheses concerning the Lunar Circles, according to the Belief of the Ancients | 106v | |||

Ch. 2: The Defect in Those Assumptions | 107v | |||

Ch. 3: A Different Opinion about the Moons Motion | 108v | |||

Ch. 4: The Moons Revolutions, and the Details of its Motions | 109v | |||

The Moons Motion in Years and Periods of Sixty Years | 111r | |||

The Moons Motion in Days, Periods of Sixty Days, and Day-Minutes | 111v | |||

The Moons Motion in Anomaly in Years and Periods of Sixty Years | 112r | |||

The Moons Motion in Anomaly in Days, Periods of Sixty Days, and Day-Minutes | 112v | |||

The Moons Motion in Latitude in Years and Periods of Sixty Years | 113r | |||

The Moons Motion in Latitude in Days, Periods of Sixty Days, and Day-Minutes | 113v | |||

Ch. 5: Exposition of the First Lunar Inequality , which Occurs at New and Full Moon | 114r | |||

Ch. 6: Verification of the Statements about the Moons Uniform Motions in Longitude and Anomaly | 117v | |||

Ch. 7: The Epochs of the Lunar Longitude and Anomaly | 118r | |||

Ch. 8: The Moons Second Inequality, and the Ratio of the First Epicycle to the Second | 118v | |||

Ch. 9: The Remaining Variation, in which the Moon Is Seen Moving Nonuniformly away from the [First] Epicycles Higher Apse | 119r | |||

Ch. 10: How the Moons Apparent Motion Is Derived from the Given Uniform Motions | 119v | |||

Ch. 11: Tabular Presentation of the Lunar Prosthaphaereses or Normalizations | 121r | |||

Table of the Moons Prosthaphaereses | 121v | |||

Ch. 12: Computing the Moons Motion | 122v | |||

Ch. 13: How the Moons Motion in LatitudeIs Analyzed and Demonstrated | 123r | |||

Ch. 14: The Places of the Moons Anomaly in Latitude | 124r | |||

Ch. 15: The Construction of the Parallactic Instrument | 125v | |||

Ch. 16: How the Lunar Parallaxes Are Obtained | 126r | |||

Ch. 17: A Demonstration of the Moons Distances from the Earth, and of their Ratio in Units of which the Earths Radius = 1 | 127v | |||

Ch. 18: The Diameter of the Moon and of the Earths Shadow at the Place where the Moon Passes through It | 128v | |||

Ch. 19: How to Demonstrate at the Same Time the Distances of the Sun and Moon from the Earth , their Diameters, the Diameter of the Shadow where the Moon Passes through. It and the Axis of the Shadow | 129r | |||

Ch. 20: The Size of These Three Heavenly Bodies, Sun, Moon, and Earth, and a Comparison of their Sizes | 130v | |||

Ch. 21: The Apparent Diameter and Parallaxes of the Sun | 130v | |||

Ch. 22: The Moons Varying Apparent Diameter and its Parallaxes | 131r | |||

Ch. 23: To What Extent Does the Earths Shadow Vary? | 131v | |||

Ch. 24: Tabular Presentation of the Individual Solar and Lunar Parallaxes in the Circle which Passes through the Poles of the Horizon | 132r | |||

Table of Solar and Lunar Parallaxes | 134r | |||

Table of the Radii of the Sun, Moon, and [Earths] Shadow | 134v | |||

Ch. 25: Computing the Solar and Lunar Parallax | 135r | |||

Ch. 26: How the Parallaxes in Longitude and Latitude Are Separated from each other | 135v | |||

Ch. 27: Confirmation of the Assertions about the Lunar Parallaxes | 137r | |||

Ch. 28: The Mean Conjunctions and Oppositions of the Sun and Moon | 137v | |||

Table of Conjunction and Opposition of the Sun and Moon | 138r | |||

Ch. 29: Investigating the True Conjunctions and Oppositions of the Sun and Moon | 138v | |||

Ch. 30: How Conjunctions and Oppositions of the Sun and Moon at which Eclipses Occur May Be Distinguished from Others | 139v | |||

Ch. 31: The Size of a Solar and Lunar Eclipse | 140r | |||

Ch. 32: Predicting How Long an Eclipse Will Last | 140r | |||

REVOLUTIONS BOOK FIVE | 142r | |||

Ch. 1: The Revolutions and Mean Motions [of the Planets] | 142v | |||

Saturns Parallactic Motion in Years and Periods of 60 Years | 144r | |||

Saturns Parallactic Motion in Days, Periods of 60 Days, and Fractions of Days | 144v | |||

Jupiters Parallactic Motion in Years and Periods of 60 Years | 145r | |||

Jupiters Parallactic Motion in Days, Periods of 60 Days, and Fractions of Days | 145v | |||

Mars Parallactic Motion in Years and Periods of 60 Years | 146r | |||

Mars Parallactic Motion in Days, Periods of 60 Days, and Fractions of Days | 146v | |||

Venus Parallactic Motion in Years and Periods of 60 Years | 147r | |||

Venus Parallactic Motion in Days, Periods of 60 Days, and Fractions of Days | 147v | |||

Mercurys Parallactic Motion in Years and Periods of 60 Years | 148r | |||

Mercurys Parallactic Motion in Days, Periods of 60 Days, and Fractions of Days | 148v | |||

Ch. 2: The Planets Uniform and Apparent Motion, as Explained by the Theory of the Ancients | 149r | |||

Ch. 3: General Explanation of the Apparent Nonuniformity Caused by the Earths Motion | 149v | |||

Ch. 4: In What Ways Do the Planets Own Motions Appear Nonuniform? | 150v | |||

Ch. 5: Derivations of Saturns Motion | 152r | |||

Ch. 6: Three Other More Recently Observed Oppositions of Saturn | 154r | |||

Ch. 7: Analysis of Saturns Motion | 156v | |||

Ch. 8: Determining Saturns Places | 157r | |||

Ch. 9: Saturns Parallaxes Arising from the Earths Annual Revolution, and Saturns Distance [from the Earth] | 157v | |||

Ch. 10: Expositions of Jupiters Motion | 158v | |||

Ch. 11: Three Other More Recently Observed Oppositions of Jupiter | 160r | |||

Ch. 12: Confirmation of Jupiters Uniform Motion | 162v | |||

Ch. 13: Determining the Places of Jupiters Motion | 163r | |||

Ch. 14: Determining Jupiters Parallaxes, and its Height in Relation to the Earths Orbital Revolution | 163r | |||

Ch. 15: The Planet Mars | 164r | |||

Ch. 16: Three Other More Recently Observed Oppositions of Planet Mars | 166r | |||

Ch. 17: Confirmation of Mars Motion | 167v | |||

Ch. 18: Determining Mars Places | 168r | |||

Ch. 19: The Size of Mars Orbit in Units whereof the Earths Annual Orbit Is One Unit | 168r | |||

Ch. 20: The Planet Venus | 169v | |||

Ch. 21: The Ratio of the Earths and Venus Orbital Diameters | 170v | |||

Ch. 22: Venus Twofold Motion | 171r | |||

Ch. 23: Analyzing Venus Motion | 172r | |||

Ch. 24: The Places of Venus Anomaly | 175r | |||

Ch. 25: Mercury | 175v | |||

Ch. 26: The Place of Mercurys Higher and Lower Apsides | 176v | |||

Ch. 27: The Size of Mercurys Eccentricity, and the Ratio of its Circles | 177r | |||

Ch. 28: Why Mercurys Elongations at about the Side of a Hexagon [= 60°, from the Perigee] Look Bigger than the Elongations Occuring at Perigee | 178v | |||

Ch. 29: Analysis of Mercurys Mean Motion | 179v | |||

Ch. 30: More Recent Observations of Mercurys Motions | 180v-182r | |||

Ch. 31: Determining Mercurys Places | 195v | |||

Ch. 32: An Alternative Account of Approach and Withdrawal | 196r | |||

Ch. 33: Tables of the Prosthaphaereses of the five Planets | 197r | |||

Table of Saturns Prosthaphaereses | 182v | |||

Table of Jupiters Prosthaphaereses | 183v | |||

Table of Mars Prosthaphaereses | 184v | |||

Table of Venus Prosthaphaereses | 185v | |||

Table of Mercurys Prosthaphaereses | 186v | |||

Ch. 34: How to compute the Longitudinal Places of These Five Planets | 187v | |||

Ch. 35: The Stations and Retrogradations of the Five Planets | 197v | |||

Ch. 36: How the Times. Places, and Arcs of Retrogression Are Determined | 199r | |||

REVOLUTIONS BOOK SIX | 188v | |||

Ch. 1: General Explanation of the Five Planets Deviation in Latitude | 188v | |||

Ch. 2: The Theory of the Circles by which These Planets Are Moved in Latitude | 190r | |||

Ch. 3: How Much Are the Orbits of Saturn, Jupiter, and Mars Inclined? | 192v | |||

Ch. 4: General Explanation of Any Other Latitudes of These Three Planets | 193v | |||

Ch. 5: The Latitudes of Venus and Mercury | 203r | |||

Ch. 6: Venus and Mercurys Second Latitudinal Digression, Depending on the Inclination of their Orbits at Apogee and Perigee | 204r | |||

Ch. 7: The Size of the Obliquation Angles of Both Planets, Venus and Mercury | 205r | |||

Ch. 8: The Third Kind of Latitude, which Is Called the Deviation, in Venus and Mercury | 207v | |||

Latitudes of Saturn, Jupiter, and Mars | 210r | |||

Latitudes of Venus and Mercury | 211r | |||

Ch. 9: Computing the Latitudes of the Five Planets | 212r |