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    Re: Mackay on Longitude
    From: Dave Walden
    Date: 2008 Apr 21, 19:39 -0700

    My daughter was able to see volume 2 in the rare book room at the
    University of Virginia where she copied out the following (looks quite
    interesting):
    
    Mackay Vol 2
    Tables
    I To convert time longitude
    II To reduce longitude to time
    III Depression of the Horizon
    IV Dip of the Sea at different Distances from the Observer
    V Correction of the Sun in Altitude
    VI Mean Astronomical Refraction
    VII Parallax of the Sun in Altitude
    VIII Correction of the Mean of Refraction
    IX Correction of the Moon's apparent Altitude
    X To reduce the true altitude of the Sun to its apparent Altitude
    XI  " Moon "
    XII " Fixed Star"
    XIII-XVI To reduce the Declination of the Sun to any given Meridian
    and to any given time under that Meridian
    XVII For selecting a proper Star from which the Moon's Distance ought
    to be observed, that as little as possible of the Moon's proper Motion
    may be lost
    XVIII To reduce the right Ascension of the Sun to any given Meridian
    and to any given time under that Meridian
    XIX To reduce the Declination, Right Ascension, Horizontal Parallax,
    and semidiameter of the Moon, to any given Meridian, and to any given
    Time under that Meridian
    XX To reduce the Time of the Moon's Passage over the Meridian of
    Greenwich to the Time of its Transit over any other Meridian
    XXI Error of Observation, arising from a deviation of one minute of
    the Plane of the central mirror of the circular instrument from the
    perpendicular
    XXII Error of the Obs. arising from an Error in the Line of
    Collimation
    XXIII For computing Part 1st of the equation of Equal Altitudes
    XXIV " 2nd of "
    XXV Altitude to be observed in order to ascertain the Apparent Time
    with the greatest Accuracy
    XXVI Correction of the observed Altitude for the Spheroidal Figure of
    the Earth
    XXVII For computing the Apparent Time from an observation of the
    Altitude of an Object
    XXVIII For computing the Apparent Time &c.
    XXIX "
    XXX To find the Augmentation of the Moons Semidiameter by the Altitude
    of the Nonagesimal, and the apparent Distance of the Moon therefrom
    XXXI Augmentation of the Moons Semidiameter
    XXXII Contraction of the Semidiameter
    XXXIII Reduction of the Moons Equatorial Horizontal Parallax
    XXXIV Correction of the Moon's Parallax in Latitude
    XXXV Greatest Effect of the "
    XXXVI Reduction of the Lat. of the place of Observation
    XXXV Greatest Effect of the "
    XXXVI Reduction of the Lat of the place of Observation
    XXXVII Equation of the 2nd Difference
    XXXVIII Correction of the Approx Time, answering to the Equation of
    the 2nd Diff
    XXXIX Equatorial Semidiameter of the Moon in Time
    XL Increase of the Moon's Semidiameter in Time
    XLI Natural Versed Sines, to every 10th Second of the Quadrant
    XLII Logarithmic Difference
    XLIII Correction of the Logarithmic Diff When the Moon's Distance from
    the Sun is observed
    XLIV " from a Star"
    XLV Logarithms of Numbers
    XLVI Log Sines to every 10th 2nd of the Quadrant
    XLVII " Tangents "
    XLVIII Half Elapsed Time
    XLIX Middle Time
    L Rising
    LI Proportional Logarithms
    LII The mean right Ascensions and Declinations of 183 principle fixed
    stars, adapted to the beginning of the year 1810
    LIII Part I of the Precession in right Ascension for complete years
    LIV For computing Part 2 of the Precession in Right Ascension + to
    find the Precession in Declination in complete years
    LV Decimal Numbers for Multiplying the Annual Precession of a star in
    Right Ascension
    LVI Semi-annual Solar Equation of Northern Star in Right Asent + Decli
    LVII -LIX For computing the Nutation or Deviation of a star in right
    Ascension + Declination
    LX-LXII For computing the Aberration of a star in Right Ascen + Decli
    LXIII The  mean Long + Lats of 122 fixed stars, chiefly zodiacal,
    adapted to the beginning of the year 1810
    LXIV Precession of the Equinoctial points in Longitude, for complete
    years
    LXV Precession of the Equinoctial points in Long. for Months + Days
    LXVI Secular Variation of the fixed stars
    LXVII Equations for the Equinoxes in Longitude
    LXVIII To find the Aberration of a star in Long + Lat
    LXIX Aberration of the Planets in Long
    LXX For computing the right Ascension of a planet in time
    LXXI Difference between the Meridian Altitude of an object and its
    altitude one minute before or after the time of its transit
    LXXII For computing the final Effect of Parallax on the Distance
    between the Moon and the Sun or a fixed Star
    
    Appendix
    1 Containing the Methods for calculating the Time of the Rising of the
    Sun, Moon and fixed Stars; the time of the beginning and End of
    Twilight
    
    Table A Approx time of Rising / Setting of Sun
    B Time answering to a change of Alt of one degree near the horizon
    
    Problem I To find the Apparent Time of Rising or Setting of the Sun
    II " of Passage of a Star
    III " of the Rising/Setting of a fixed star
    IV " of the Moon
    V To find the time of beginning + end of twilight and its duration
    VI To find time of Shortest Twilight + Duration
    VII Given the Lat of a place (between limits 48-32 and 66-32, to find
    when it ceases to be night
    
    Notes:  Explains all the tables, has some equations and examples for a
    few of them.  includes some plates as well.
    
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