Tables Requisite to Be Used with the Nautical Ephemeris, for Finding the Latitude and Longitude at Sea Published by Order of the Commissioners of Longitude
Book contents
- Frontmatter
- PREFACE
- TABLE I The Refractions of the Heavenly Bodies in Altitude
- TABLE II Depression or Dip of the Horizon of the Sea
- TABLE III The Sun's Parallax in Altitude
- TABLE IV Augmentation of the Moon's Semidiameter
- TABLE V Dip of the Sea at different Distances from the Observer
- TABLE VI For reducing the Sun's Declination, as given in the Nautical Almanac for Noon at Greenwich, to any other Time under that Meridian; or to Noon under any other Meridian
- TABLE VII The Right Ascensions and Declinations of the principal Fixed Stars of the First and Second Magnitudes, adapted to the Beginning of the Year 1796, with their annual Variations
- TABLE VIII For reducing the Apparent Altitude of the Moon to the true
- TABLE IX Logarithms for readily computing the true Distance of the Moon from the Sun or a Fixed Star
- TABLE X Numbers to be subtracted from the Logarithms in Table IX, when the Moon's Distance from the Sun is observed
- TABLE XI Numbers to be subtracted from the Logarithms in Table IX, when the Moon's Distance from a Star is observed
- TABLE XII The Moon's Parallax in Altitude
- TABLE XIII For computing the Effect of Parallax on the Moon's Distance from the Sun or a Star
- TABLE XIV For turning Degrees and Minutes into Time, and the contrary
- TABLE XV Proportional Logarithms
- TABLE XVI For computing the Latitude of a Ship at Sea, having the Latitude by Account, Two observed Altitudes of the Sun, the Time elapsed between the Observations measured by a common Watch, and the Sun's Declination
- TABLE XVII Natural Sines to every Degree and Minute of the Quadrant
- TABLE XVIII The Logarithms of Numbers from One to Ten Thousand
- TABLE XIX Logarithmic Sines, Tangents, and Secants
- TABLE XX For reducing the Time of the Moon's Passage over the Meridian of Greenwich to the Time of its Passage over any other Meridian
- TABLE XXI For reducing the Moon's Declination, as given in the Nautical Almanac for Noon and Midnight at Greenwich, to any other Time under that Meridian; or to Noon or Midnight under any other Meridian
- TABLE XXII For reducing the Sun's Right Ascension in Time, as given in the Nautical Almanac for Noon at Greenwich, to any other Time under that Meridian; or to Noon under any other Meridian
- TABLE XXIII For correcting the Latitude computed from the Latitude by Account, Two observed Altitudes of the Sun, and the interval of Time between them
- TABLE XXIV For correcting the Latitude computed from Two Altitudes of the Sun, &c
- TABLE XXV For correcting the Latitude computed from Two Altitudes of the Sun, &c
- TABLE XXVI For correcting the Apparent Distance of the Moon from a Fixed Star
- TABLE XXVII For correcting the Apparent Distance of the Moon from the Sun
- TABLE XXVIII For correcting the Apparent Distance of the Moon from the Sun or a Fixed Star
- TABLE XXIX The Latitudes and Longitudes of Places, with the Time of High Water at the Full and Change of the Moon, at those places where it is known
- XXX The Latitudes and Longitudes of remarkable Places on the Sea Coast of England and Inland
- THE EXPLANATION AND USE OF THE TABLES
- GENERAL INTRODUCTION; concerning the Instruments and Observations
- Explanation of the Tables
- PROBLEM I To find the Latitude of a Ship at Sea, from the Observed Meridional Altitude of the Sun's Limb
- PROBLEM II To find the Latitude of Ship at Sea, from the Observed Meridional Altitude of a Fixed Star
- PROBLEM III To find the Latitude of a Ship at Sea, from the Observed Meridional Altitude of the Moon's Limb
- PROBLEM IV To find the Latitude of a Ship at Sea, having the Latitude by Account, Two Observed Altitudes of the Sun, the Time elapsed between the Observations measured by a common Watch, and the Sun's Declination
- PROBLEM V To correct the Latitude found by the last Problem, after One Computation
- PROBLEM VI The Latitude and Longitude of a Place, and the Observed Altitude of the Sun's Limb being given, together with the Time of Observation nearly, to find the Apparent Time at that Place
- PROBLEM VII The Latitude and Longitude of a Place, and the Observed Altitude of a known Fixed Star being given, together with the Time of Observation nearly, to find the Apparent Time at that Place
- PROBLEM VIII The Apparent Time, the Ship's Latitude and Longitude, and the Sun's Declination being given, to find its Apparent Altitude
- PROBLEM IX The Apparent Time, and the Latitude and Longitude of the Ship being given, to find the Apparent Altitude of any known Fixed Star
- PROBLEM X The Apparent Time, and the Latitude and Longitude of the Ship being given, to find the Apparent Altitude of the Moon's center
- PROBLEM XI Having the apparent, or observed Distance of the Moon from the Sun or a Fixed Star, together with the Observed Altitude of each, and the Moon's Horizontal Parallax, to find their true Distance
- PROBLEM XII To find the Longitude of a Ship at Sea, by Observations of the Moon's Distance from the Sun, and their Altitudes, taken at the same Time; the Latitude of the Ship, and its Longitude by Account, being also known
- PROBLEM XIII To find the Longitude of a Ship at Sea, by Observations of the Moon's Distance from a known Fixed Star, and their Altitudes, taken at the same Time; the Latitude of the Ship, and its Longitude by Account, being also known
- Contents
PROBLEM II - To find the Latitude of Ship at Sea, from the Observed Meridional Altitude of a Fixed Star
from THE EXPLANATION AND USE OF THE TABLES
Published online by Cambridge University Press: 05 November 2014
Book contents
- Frontmatter
- PREFACE
- TABLE I The Refractions of the Heavenly Bodies in Altitude
- TABLE II Depression or Dip of the Horizon of the Sea
- TABLE III The Sun's Parallax in Altitude
- TABLE IV Augmentation of the Moon's Semidiameter
- TABLE V Dip of the Sea at different Distances from the Observer
- TABLE VI For reducing the Sun's Declination, as given in the Nautical Almanac for Noon at Greenwich, to any other Time under that Meridian; or to Noon under any other Meridian
- TABLE VII The Right Ascensions and Declinations of the principal Fixed Stars of the First and Second Magnitudes, adapted to the Beginning of the Year 1796, with their annual Variations
- TABLE VIII For reducing the Apparent Altitude of the Moon to the true
- TABLE IX Logarithms for readily computing the true Distance of the Moon from the Sun or a Fixed Star
- TABLE X Numbers to be subtracted from the Logarithms in Table IX, when the Moon's Distance from the Sun is observed
- TABLE XI Numbers to be subtracted from the Logarithms in Table IX, when the Moon's Distance from a Star is observed
- TABLE XII The Moon's Parallax in Altitude
- TABLE XIII For computing the Effect of Parallax on the Moon's Distance from the Sun or a Star
- TABLE XIV For turning Degrees and Minutes into Time, and the contrary
- TABLE XV Proportional Logarithms
- TABLE XVI For computing the Latitude of a Ship at Sea, having the Latitude by Account, Two observed Altitudes of the Sun, the Time elapsed between the Observations measured by a common Watch, and the Sun's Declination
- TABLE XVII Natural Sines to every Degree and Minute of the Quadrant
- TABLE XVIII The Logarithms of Numbers from One to Ten Thousand
- TABLE XIX Logarithmic Sines, Tangents, and Secants
- TABLE XX For reducing the Time of the Moon's Passage over the Meridian of Greenwich to the Time of its Passage over any other Meridian
- TABLE XXI For reducing the Moon's Declination, as given in the Nautical Almanac for Noon and Midnight at Greenwich, to any other Time under that Meridian; or to Noon or Midnight under any other Meridian
- TABLE XXII For reducing the Sun's Right Ascension in Time, as given in the Nautical Almanac for Noon at Greenwich, to any other Time under that Meridian; or to Noon under any other Meridian
- TABLE XXIII For correcting the Latitude computed from the Latitude by Account, Two observed Altitudes of the Sun, and the interval of Time between them
- TABLE XXIV For correcting the Latitude computed from Two Altitudes of the Sun, &c
- TABLE XXV For correcting the Latitude computed from Two Altitudes of the Sun, &c
- TABLE XXVI For correcting the Apparent Distance of the Moon from a Fixed Star
- TABLE XXVII For correcting the Apparent Distance of the Moon from the Sun
- TABLE XXVIII For correcting the Apparent Distance of the Moon from the Sun or a Fixed Star
- TABLE XXIX The Latitudes and Longitudes of Places, with the Time of High Water at the Full and Change of the Moon, at those places where it is known
- XXX The Latitudes and Longitudes of remarkable Places on the Sea Coast of England and Inland
- THE EXPLANATION AND USE OF THE TABLES
- GENERAL INTRODUCTION; concerning the Instruments and Observations
- Explanation of the Tables
- PROBLEM I To find the Latitude of a Ship at Sea, from the Observed Meridional Altitude of the Sun's Limb
- PROBLEM II To find the Latitude of Ship at Sea, from the Observed Meridional Altitude of a Fixed Star
- PROBLEM III To find the Latitude of a Ship at Sea, from the Observed Meridional Altitude of the Moon's Limb
- PROBLEM IV To find the Latitude of a Ship at Sea, having the Latitude by Account, Two Observed Altitudes of the Sun, the Time elapsed between the Observations measured by a common Watch, and the Sun's Declination
- PROBLEM V To correct the Latitude found by the last Problem, after One Computation
- PROBLEM VI The Latitude and Longitude of a Place, and the Observed Altitude of the Sun's Limb being given, together with the Time of Observation nearly, to find the Apparent Time at that Place
- PROBLEM VII The Latitude and Longitude of a Place, and the Observed Altitude of a known Fixed Star being given, together with the Time of Observation nearly, to find the Apparent Time at that Place
- PROBLEM VIII The Apparent Time, the Ship's Latitude and Longitude, and the Sun's Declination being given, to find its Apparent Altitude
- PROBLEM IX The Apparent Time, and the Latitude and Longitude of the Ship being given, to find the Apparent Altitude of any known Fixed Star
- PROBLEM X The Apparent Time, and the Latitude and Longitude of the Ship being given, to find the Apparent Altitude of the Moon's center
- PROBLEM XI Having the apparent, or observed Distance of the Moon from the Sun or a Fixed Star, together with the Observed Altitude of each, and the Moon's Horizontal Parallax, to find their true Distance
- PROBLEM XII To find the Longitude of a Ship at Sea, by Observations of the Moon's Distance from the Sun, and their Altitudes, taken at the same Time; the Latitude of the Ship, and its Longitude by Account, being also known
- PROBLEM XIII To find the Longitude of a Ship at Sea, by Observations of the Moon's Distance from a known Fixed Star, and their Altitudes, taken at the same Time; the Latitude of the Ship, and its Longitude by Account, being also known
- Contents
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- Tables Requisite to Be Used with the Nautical Ephemeris, for Finding the Latitude and Longitude at SeaPublished by Order of the Commissioners of Longitude, pp. 223 - 224Publisher: Cambridge University PressPrint publication year: 2014