On the Revolutions: Volume 2

Name: On the Revolutions: Volume 2
Brand: Palgrave Macmillan
Price: 213.99 EUR
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Nicholas Copernicus Rosen Jerzy Dobrzycki(Author)

Palgrave Macmillan (Publisher)

Published on 1. February 2016

XVII, 451 pages

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978-1-349-01776-8 (ISBN)

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COVER
HALF TITLE
TITLE PAGE
COPYRIGHT
CONTENTS
INTRODUCTION
TITLE PAGE OF THE FIRST EDITION
FOREWORD
LETTER OF NICHOLAS SCHONBERG
PREFACE
NICHOLAS COPERNICUS' REVOLUTIONS Book One
INTRODUCTION
1 THE UNIVERSE IS SPHERICAL
2 THE EARTH TOO IS SPHERICAL
3 HOW EARTH FORMS A SINGLE SPHERE WITH WATER
4 THE MOTION OF THE HEAVENLY BODIES IS UNIFORM, ETERNAL, AND CIRCULAR OR COMPOUNDED OF CIRCULAR MOTIONS
5 DOES CIRCULAR MOTION SUIT THE EARTH? WHAT IS ITS POSITION?
6 THE IMMENSITY 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 THE INADEQUACY OF THE PREVIOUS ARGUMENTS AND A REFUTATION OF THEM
9 CAN SEVERAL MOTIONS BE ATTRIBUTED TO THE EARTH? THE CENTER OF THE UNIVERSE
10 THE ORDER OF THE HEAVENLY SPHERES
11 PROOF OF THE EARTH'S TRIPLE MOTION
12 STRAIGHT LINES SUBTENDED IN A CIRCLE
13 THE SIDES AND ANGLES OF PLANE RECTILINEAR TRIANGLES
14 SPHERICAL TRIANGLES
NICHOLAS COPERNICUS' REVOLUTIONS Book Two
INTRODUCTION
1 THE CIRCLES AND THEIR NAMES
2 THE OBLIQUITY OF THE ECLIPTIC, THE DISTANCE BETWEEN THE TROPICS, AND THE METHOD OF DETERMINING THESE QUANTITIES
3 THE ARCS AND ANGLES OF THE INTERSECTIONS OF THE EQUATOR, ECLIPTIC, AND MERIDIAN
THE DERIVATION OF THE DECLINATION AND RIGHT ASCENSION FROM THESE ARCS AND ANGLES, AND THE COMPUTATION OF THEM
4 FOR EVERY HEAVENLY BODY SITUATED OUTSIDE THE ECLIPTIC, PROVIDED THAT THE BODY'S 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
5 THE INTERSECTIONS OF THE HORIZON
6 THE DIFFERENCES IN NOON SHADOWS
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
8 THE HOURS AND PARTS OF THE DAY AND NIGHT
9 THE OBLIQUE ASCENSION OF THE DEGREES OF THE ECLIPTIC
HOW TO DETERMINE WHAT DEGREE IS AT MID-HEAVEN WHEN ANY DEGREE IS RISING
10 THE ANGLE AT WHICH THE ECLIPTIC INTERSECTS THE HORIZON
11 THE USE OF THESE TABLES
12 THE ANGLES AND ARCS OF THOSE CIRCLES WHICH ARE DRAWN THROUGH THE POLES OF THE HORIZON TO THE ECLIPTIC
13 THE RISING AND SETTING OF THE HEAVENLY BODIES
14 THE INVESTIGATION OF THE PLACES OF THE STARS, AND THE ARRANGEMENT OF THE FIXED STARS IN A CATALOGUE
NICHOLAS COPERNICUS' REVOLUTIONS Book Three
1 THE PRECESSION OF THE EQUINOXES AND SOLSTICES
2 HISTORY OF THE OBSERVATIONS PROVING THAT THE PRECESSION OF THE EQUINOXES AND SOLSTICES IS NOT UNIFORM
3 HYPOTHESES BY WHICH THE SHIFT IN THE EQUINOXES AS WELL AS IN THE OBLIQUITY OF THE ECLIPTIC AND EQUATOR MAY BE DEMONSTRATED
4 HOW AN OSCILLATING MOTION OR MOTION IN LIBRATION IS CONSTRUCTED OUTOF CIRCULAR [MOTIONS]
5 PROOF OF THE NONUNIFORMITY IN THE PRECESSION OF THE EQUINOXES AND IN THE OBLIQUITY
6 THE UNIFORM MOTIONS OF THE PRECESSION OF THE EQUINOXES AND OF THE INCLINATION OF THE ECLIPTIC
7 WHAT IS THE GREATEST DIFFERENCE BETWEEN THE UNIFORM AND THE APPARENT PRECESSION OF THE EQUINOXES?
8 THE INDIVIDUAL DIFFERENCES BETWEEN THESE MOTIONS, AND A TABLE EXHIBITING THOSE DIFFERENCES
9 REVIEW AND CORRECTION OF THE DISCUSSION OF THE PRECESSION OF THE EQUINOXES
10 WHAT IS THE GREATEST VARIATION IN THE INTERSECTIONS OF THE EQUATOR AND ECLIPTIC?
11 DETERMINING THE EPOCHS OF THE UNIFORM MOTIONS OF THE EQUINOXES AND ANOMALY
12 COMPUTING THE PRECESSION OF THE VERNAL EQUINOX AND THE OBLIQUITY
13 THE LENGTH AND NONUNIFORMITY OF THE SOLAR YEAR
14 THE UNIFORM AND MEAN MOTIONS IN THE REVOLUTIONS OF THE EARTH'S CENTER
15 PRELIMINARY THEOREMS FOR PROVING THE NONUNIFORMITY OF THE SUN'S APPARENT MOTION
16 THE SUN'S APPARENT NONUNIFORMITY
17 EXPLANATION OF THE FIRST AND ANNUAL SOLAR INEQUALITY, TOGETHER WITH ITS PARTICULAR VARIATIONS
18 ANALYSIS OF THE UNIFORM MOTION IN LONGITUDE
19 ESTABLISHING THE POSITIONS AND EPOCHS FOR THE SUN'S UNIFORM MOTION
20 THE SECOND AND TWOFOLD INEQUALITY IMPOSED ON THE SUN BY THE SHIFT OF THE APSIDES
21 HOW LARGE IS THE SECOND VARIATION IN THE SOLAR INEQUALITY?
22 HOW THE SOLAR APOGEE'S UNIFORM AND NONUNIFORM MOTIONS ARE DERIVED
23 DETERMINING THE SOLAR ANOMALY AND ESTABLISHING ITS POSITIONS
24 TABULAR PRESENTATION OF THE VARIATIONS IN THE UNIFORM AND APPARENT [SOLAR MOTIONS]
25 COMPUTING THE APPARENT SUN
26 THE NUCIITHEMERON, THAT IS, THE VARIABLE NATURAL DAY
NICHOLAS COPERNICUS' REVOLUTIONS Book Four
INTRODUCTION
1 THE HYPOTHESES CONCERNING THE LUNAR CIRCLES, ACCORDING TO THE BELIEF OF THE ANCIENTS
2 THE DEFECT IN THOSE ASSUMPTIONS
3 A DIFFERENT OPINION ABOUT THE MOON'S MOTION
4 THE MOON'S REVOLUTIONS, AND THE DETAILS OF ITS MOTIONS
5 EXPOSITION OF THE FIRST LUNAR INEQUALITY, WHICH OCCURS AT NEW AND FULL MOON
6 VERIFICATION OF THE STATEMENTS ABOUT THE MOON'S UNIFORM MOTIONS IN LONGITUDE AND ANOMALY
7 THE EPOCHS OF THE LUNAR LONGITUDE AND ANOMALY
8 THE MOON'S SECOND INEQUALITY, AND THE RATIO OF THE FIRST EPICYCLE TO THE SECOND
9 THE REMAINING VARIATION, IN WHICH THE MOON IS SEEN MOVING NONUNIFORMLY AWAY FROM THE [FIRST] EPICYCLE'S HIGHER APSE
10 HOW THE MOON'S APPARENT MOTION IS DERIVED FROM THE GIVEN UNIFORM MOTIONS
11 TABULAR PRESENTATION OF THE LUNAR PROSTHAPHAERESES OR NORMALIZATIONS
12 COMPUTING THE MOON'S MOTION
13 HOW THE MOON'S MOTION IN LATITUDE IS ANALYZED AND DEMONSTRATED
14 THE PLACES OF THE MOON'S ANOMALY IN LATITUDE
15 THE CONSTRUCTION OF THE PARALLACTIC INSTRUMENT
16 HOW THE LUNAR PARALLAXES ARE OBTAINED
17 A DEMONSTRATION OF THE MOON'S DISTANCES FROM THE EARTH, AND OF THEIR RATIO IN UNITS OF WHICH THE EARTH'S RADIUS = 1
18 THE DIAMETER OF THE MOON AND OF THE EARTH'S SHADOW AT THE PLACE WHERE THE MOON PASSES THROUGH IT
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
20 THE SIZE OF THESE THREE HEAVENLY BODIES, SUN, MOON, AND EARTH, AND A COMPARISON OF THEIR SIZES
21 THE APPARENT DIAMETER AND PARALLAXES OF THE SUN
22 THE MOON'S VARYING APPARENT DIAMETER AND ITS PARALLAXES
23 TO WHAT EXTENT DOES THE EARTH'S SHADOW VARY?
24 TABULAR PRESENTATION OF THE INDIVIDUAL SOLAR AND LUNAR PARALLAXES IN THE CIRCLE WHICH PASSES THROUGH THE POLES OF THE HORIZON
25 COMPUTING THE SOLAR AND LUNAR PARALLAX
26 HOW THE PARALLAXES IN LONGITUDE AND LATITUDE ARE SEPARATED FROM EACH OTHER
27 CONFIRMATION OF THE ASSERTIONS ABOUT THE LUNAR PARALLAXES
28 THE MEAN CONJUNCTIONS AND OPPOSITIONS OF THE SUN AND MOON
29 INVESTIGATING THE TRUE CONJUNCTIONS AND OPPOSITIONS OF THE SUN AND MOON
30 HOW CONJUNCTIONS AND OPPOSITIONS OF THE SUN AND MOON AT WHICH ECLIPSES OCCU RMAY BE DISTINGUISHED FROM OTHERS
31 THE SIZE OF A SOLAR AND LUNAR ECLIPSE
32 PREDICTING HOW LONG AN ECLIPSE WILL LAST
NI.CHOLAS COPERNICUS' REVOLUTIONS Book Five
INTRODUCTION
1 THE REVOLUTIONS AND MEAN MOTIONS [OF THE PLANETS
2 THE PLANETS' UNIFORM AND APPARENT MOTION, AS EXPLAINED BY THE THEORY OF THE ANCIENTS
3 GENERAL EXPLANATION OF THE APPARENT NONUNIFORMITY CAUSED BY THE EARTH'S MOTION
4 IN WHAT WAYS DO THE PLANETS' OWN MOTIONS APPEAR NONUNIFORM?
5 DERIVATIONS OF SATURN'S MOTION
6 THREE OTHER MORE RECENTLY OBSERVED OPPOSITIONS OF SATURN
7 ANALYSIS OF SATURN'S MOTION
8 DETERMINING SATURN'S PLACES
9 SATURN'S PARALLAXES ARISING FROM THE EARTH'S ANNUAL REVOLUTION, AND SATURN'S DISTANCE [FROM THE EARTH]
10 EXPOSITIONS OF JUPITER'S MOTION
11 THREE OTHER MORE RECENTLY OBSERVED OPPOSITIONS OF JUPITER
12 CONFIRMATION OF JUPITER'S UNIFORM MOTION
13 DETERMINING THE PLACES OF JUPITER'S MOTION
14 DETERMINING JUPITER'S PARALLAXES, AND ITS HEIGHT IN RELATION TO THE EARTH'S ORBITAL REVOLUTION
15 THE PLANET MARS
16 THREE OTHER RECENTLY OBSERVED OPPOSITIONS OF THE PLANET MARS
17 CONFIRMATION OF MARS' MOTION
18 DETERMINING MARS' PLACES
19 THE SIZE OF MARS' ORBIT IN UNITS WHEREOF THE EARTH'S ANNUAL ORBIT IS ONE UNIT
20 THE PLANET VENUS
21 THE RATIO OF THE EARTH'S AND VENUS' ORBITAL DIAMETERS
22 VENUS' TWOFOLD MOTION
23 ANALYZING VENUS' MOTION
24 THE PLACES OF VENUS' ANOMALY
25 MERCURY
26 THE PLACE OF MERCURY'S HIGHER AND LOWER APSIDES
27 THE SIZE OF MERCURY'S ECCENTRICITY, AND THE RATIO OF ITS CIRCLES
28 WHY MERCURY'S ELONGATIONS AT ABOUT THE SIDE OF A HEXAGON [ = 60°, FROM THE PERIGEE] LOOK BIGGER THAN THE ELONGATIONS OCCURRING AT PERIGEE
29 ANALYSIS OF MERCURY'S MEAN MOTION
30 MORE RECENT OBSERVATIONS OF MERCURY'S MOTIONS
31 DETERMINING MERCURY'S PLACES
32 AN ALTERNATIVE ACCOUNT OF APPROACH AND WITHDRAWAL
33 TABLES OF THE PROSTHAPHAERESES OF THE FIVE PLANETS
34 HOW TO COMPUTE THE LONGITUDINAL PLACES OF THESE FIVE PLANETS
35 THE STATIONS AND RETROGRADATIONS OF THE FIVE PLANETS
36 HOW THE TIMES, PLACES, AND ARCS OF RETROGRESSION ARE DETERMINED
NICHOLAS COPERNICUS' REVOLUTIONS Book Six
INTRODUCTION
1 GENERAL EXPLANATION OF THE FIVE PLANETS' DEVIATION IN LATITUDE
2 THE THEORY OF THE CIRCLES BY WHICH THESE PLANETS ARE MOVED IN LATITUDE
3 HOW MUCH ARE THE ORBITS OF SATURN, JUPITER, AND MARS INCLINED?
4 GENERAL EXPLANATION OF ANY OTHER LATITUDES OF THESE THREE PLANETS
5 THE LATITUDES OF VENUS AND MERCURY
6 VENUS' AND MERCURY'S SECOND LATITUDINAL DIGRESSION, DEPENDING ON THE INCLINATION OF THEIR ORBITS AT APOGEE AND PERIGEE
7 THE SIZE OF THE OBLIQUATION ANGLES OF BOTH PLANETS, VENUS AND MERCURY
8 THE THIRD KIND OF LATITUDE, WHICH IS CALLED THE "DEVIATION", IN VENUS AND MERCURY
9 COMPUTING THE LATITUDES OF THE FIVE PLANETS
COMMENTARY
ABBREVIATIONS OF WORKS FREQUENTLY CITED
NOTES ON THE FRONT MATTER
NOTES ON THE REVOLUTIONS
INDEX OF PERSONS
INDEX OF PLACES
INDEX OF SUBJECTS

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On the Revolutions: Volume 2

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