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 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
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. 245 - 254Publisher: Cambridge University PressPrint publication year: 2014