CLAUDIUS PTOLEMY,EGYPT,DIED,ALEXANDRIA EGYPT,CLICK,THE PICTURE,PICTURES,INDEX,VERSION,PRINTING,GREEK,ASTRONOMERS,GEOGRAPHERS,PTOLEMY,GEOCENTRIC THEORY,THE ANCIENT,MATHEMATICIANS,FAIR,WORK,DISCUSSION,ARGUMENT,SHALL,DISCUSS,ARGUMENTS,BELOW,LIGHTS,SHOW,MATHEMATICIAN,TOP RANK,NO MORE,SUPERB,CLAIM,COMMITTED,CRIME,FELLOW,SCIENTISTS,ETHICS,INTEGRITY,PROFESSION,LITTLE,OBSERVATIONS,ALEXANDRIA IN,THE YEARS,IN FACT,OBSERVATION,WE CAN,DATE,26 MARCH,THE LAST,CLAIMED,THEODORE MELITENIOTES,UPPER EGYPT,RATHER,LOWER EGYPT,ALEXANDRIA,SITUATED,FIRST APPEARS,THOUSAND,LIVED,IT MUST BE,TO BE TRUE,EVIDENCE,EVER,NAME,OF COURSE,MIXTURE,THE GREEK,EGYPTIAN,THE ROMAN,CLAUDIUS,FAMILY,LIVING,CITIZEN,ROME,ROMAN EMPEROR,REWARD,ANCESTORS,WE DO,KNOW THAT,THEON,THIS WAS,ALMOST CERTAINLY,THEON OF SMYRNA,TEACHER,CERTAINLY,SENSE,OBSERVER,WRITTEN,TOPICS,CONJUNCTIONS,ECLIPSES,OCCULTATIONS,DEDICATED TO,TEACHERS,NOTHING,FACTS,SCHOLAR,SEEMS,UNDERSTOOD,DEPTH,ON THE OTHER HAND,TRADITION,SCHOLARSHIP,MEAN,ACCESS,THE BEST,LIBRARIES,REFERENCE MATERIAL,GOOD,MAJOR,ARTICLE,THE ALMAGEST,TREATISE,THIRTEEN,BOOKS,SHOULD,STRAIGHT,AWAY,THE WORK,ALMOST ALWAYS,ORIGINAL,TRANSLATES,MATHEMATICAL,COMPILATION,SOON,MEANS,GREATEST,TRANSLATED,ARABIC,ALMAGEST,LATIN,DETAIL,THE MATHEMATICAL THEORY OF,THE SUN,MOON,PLANETS,CONTRIBUTION,PRESENTING,DETAILS,THE PLANETS,COPERNICUS,PRESENTED,HELIOCENTRIC THEORY,DE REVOLUTIONIBUS,IN 8,SHARES,EUCLIDS ELEMENTS,THE GLORY,THE SCIENTIFIC,TEXT,CONCEPTION,SECOND CENTURY,UP TO,LATE RENAISSANCE,DETERMINED,ASTRONOMY,SCIENCE,THIS TIME,SUBJECT,DEFINED,HIMSELF,TO DO,WRITING,EXAMPLE,NOTE,DOWN,EVERYTHING,WE THINK,DISCOVERED,THE PRESENT TIME,POSSIBLE,MANNER,ALREADY,PROGRESS,THE FIELD,SAKE,USEFUL,THEORY OF,PROPER,ORDER,LENGTH,RECOUNT,THE ANCIENTS,AT ALL,MIGHT,DISCUSSED,THE BEST OF,ABILITY,DESCRIPTION,THE UNIVERSE,THE EARTH,SYSTEM,ARISTOTLE,VIEW OF THE WORLD,FIXED,EARTH,SPHERE,THE FIXED STARS,EVERY DAY,CARRYING,SPHERES,GEOMETRIC,PREDICT,POSITIONS,COMBINATIONS,CIRCULAR MOTION,EPICYCLES,MODEL,GOES,DESCRIBE,MATHEMATICS,NEEDS,THE REST,PARTICULAR,CHORD,FUNCTION,RELATED,SINE FUNCTION,SIN,GEOMETRICAL,THEOREMS,CHORDS,CIRCLE,360 GON,APPROXIMATION,FORMULAE,ANALOGOUS,CREATE,TABLE,OF 1,DEGREE,QUOTING,INTRODUCTION,GIVE,DEVELOP,MATHEMATICAL ASTRONOMY,INTRODUCING,CONCEPTS,HAVE TO,THE MOON,PHENOMENA,ACCOMPANYING,IMPOSSIBLE,EXAMINE,THE STARS,GRASP,MATTERS,TASK,APPROACH,HERE,FIXED STARS,FOLLOW,TREATING,THE FIVE,EQUINOXES,HIPPARCHUS,METON,432 BC,CONFIRMED,TROPICAL YEAR,LESS THAN,DAYS,VALUE,ACCURACY,DATA,FACT,TRUE VALUE,PRODUCE,ERRORS,HAD TO,ERROR,HOURS,THE EQUINOX,ANCIENT,INSTRUMENTS,UNBELIEVABLE,MAGNITUDE,STRANGE,EXCELLENT,ARTICLE 19,SOLSTICES,LENGTHS,THE SEASONS,SIMPLE,UNIFORM,VELOCITY,THE CENTRE,THE CIRCLE,DISTANCE,ECCENTRICITY,BOOK 3,PERIODS,ASSOCIATE,MOTION,TAKEN,RETURN,LONGITUDE,THE ANOMALY,LATITUDE,DONE,SYNODIC MONTH,OPPOSITIONS,BOOK 4,EPICYCLE,NOTES,THE MODEL,PARAMETERS,BOOK,IMPROVES,THE ONE,INTERESTING,THEORY,POSITION,APPLY,BOOK 6,THE NEXT,TWO BOOKS,USES,JUSTIFY,BELIEF,ALWAYS,TO EACH,WERE TO,MATCH,ABOVE,FORMING,THE CONSTELLATIONS,CELESTIAL GLOBE,FIND THAT,RELEVANT,STARS ON,THE GLOBE,THE OBSERVATIONS,NEARLY,PRESENT,PRECESSION,THE DISCOVERY OF,FIGURE,SOMEWHAT,STAR CATALOGUE,STARS,THE FINAL FIVE,PLANETARY,MUST,ACHIEVEMENT,TERMS,APPEAR,THEORETICAL MODEL,EXPLAIN,ECCENTRIC,THE PATH,PLANET P,THEREFORE,C,MOVING,ROUND,WHOSE,OFFSET,REALLY,CLEVER,INNOVATION,WAS TO,MOVES,POINT,EQUANT,THE OPPOSITE,DEVELOPED,MASTERPIECE,SOPHISTICATED,OBSERVATIONAL,TIME WAS,SCARCE,SUMS,CLARITY,METHOD,SUPERIOR,SCIENTIFIC,TEXTBOOK,PERIOD,MUCH MORE,MERE,GREEK ASTRONOMY,AS IT,SOMETIMES,ORIGINAL WORK,PUBLISHED,THE TABLES,SCATTERED,HANDY,TABLES,LIFTED,IMPROVEMENTS,PRESENTATION,EASE OF USE,GREATER,COMMENTARY,THEON OF ALEXANDRIA,AUTHOR,SHOWS,CARE,FULLY,AWARE,WRITERS,DEEP,SCIENTIFIC WORKS,DO IN,POPULAR,ACCOUNT,RESULTS,HYPOTHESIS,WORK IN,THE FAMILIAR,ROUTE,SKILLS,READER,ABSTRACT,THEORIES,MECHANICAL,ONES,ASTROLOGY,SEEM,THE MODERN,SOMEONE,WRITE,SEES,DIFFERENTLY,CLAIMS,FIND,HEAVENLY BODIES,COMPANION,PEOPLES,LIVES,ENTITLED,ANALEMMA,FINDING,ANGLES,NEED TO,CONSTRUCT,SUNDIAL,PROJECTION,POINTS,THE CELESTIAL SPHERE,PLANISPHAERIUM,CONCERNED,STEREOGRAPHIC PROJECTION,ONTO,PLANE,WHERE IT,THE PLANE,THE EQUATOR,THE SOUTH POLE,PROVE,PROPERTY,CIRCLES,GEOGRAPHY,EIGHT,ATTEMPTS,TO MAP,THE KNOWN WORLD,COORDINATES,THE MAJOR,LATITUDE AND LONGITUDE,MAPS,AVAILABLE,QUALITY,ANYTHING,OUTSIDE,THE ROMAN EMPIRE,PARTS,DISTORTED,CONSTRUCTION,SUPPORT,PROBLEM,OPTICS,COLOUR,REFLECTION,MIRRORS,SHAPES,COMMENTS,THE ESTABLISHMENT OF,EXPERIMENT,CONSTRUCTING,SPECIAL,FEATURE,PTOLEMYS OPTICS,WHETHER,MATTER,DERIVED,IMPRESSIVE,DEVELOPMENT OF,MATHEMATICAL SCIENCE,PHYSICAL,ENGLISH,TRANSLATION,REMOVE,THE POOR,TYCHO BRAHE,SYSTEMATIC ERROR,LONGITUDES,THE STAR,SAYING,CONVERSION,PROBLEMS,STAR CATALOGUES,THE OTHER,LAPLACE,LALANDE,ATTACK,DELAMBRE,NOTHING MORE,FAILED,LESS,SIMPLER,DENYING,THE MINIMAL,SUPPORTERS,ANALYSIS,FALSE,BOLL,SAYS,CREDIT,PICTURE,FIRMAMENT,VOGT,PAPER,ARATUS,EUDOXUS,REASONABLE,CANNOT,EXCEPT,SMALL NUMBER,CONSIDER,FIXED STAR,AS OF,RECENT,FOR