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" In the greater number of cases in practice, it is sufficiently exact to obtain the required quantities by simple interpolation ; that is, by assuming that the differences of the quantities are proportional to the differences of the times, which is equivalent... "
A Manual of Spherical and Astronomy: Embracing the General Problems of ... - Page 69
by William Chauvenet - 1864
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Guide Book to the Local Marine Board Examination: The Ordinary Examination

Thomas Liddell Ainsley - Merchant marine - 1875 - 416 pages
...quantities by simple interpolation ; that is, by assuming that the difference of the quantities are proportional to the differences of the times, which is equivalent to assuming that the differences in the Ephemeris are constant. This, however, is never the case ; but the error arising from the assumption...
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A guide book to the Local marine board examination. The ordinary ..., Volume 24

Thomas Liddell Ainsley - 1880 - 482 pages
...quantities by simple interpolation ; that is, by assuming that the difference of the quantities are proportional to the differences of the times, which is equivalent to assuming that the differences in the Ephemeris are constant. This, however, is never the case ; for example, referring to the Nautical...
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The American Practical Navigator: Being an Epitome of Navigation and ...

Nathaniel Bowditch - Nautical astronomy - 1888 - 704 pages
...differences of the times ; in other words, that the differences given in the Almanac are constant ; which is never the case, but the error arising from the...smaller the less the interval between the times in the Almanac. Hence, those quantities which vary most irregularly are given for the smallest units of time;...
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Spherical astronomy

William Chauvenet - Astronomical instruments - 1891 - 716 pages
...quantities by simple interpolation ; that is, by assuming that the differences of the quantities are proportional to the differences of the times, which...smaller the less the interval between the times in the Ephemcris ; hence, those quantities which vary most irregularly, as the moon's right ascension and...
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The American Practical Navigator: Being an Epitome of Navigation and ...

Nathaniel Bowditch - Nautical astronomy - 1906 - 670 pages
...of the times; in other words, that the differences given in the Almanac are constant; this is seldom the case, but the error arising from the assumption...smaller the less the interval between the times in the Almanac. Hence those quantities which vary most irregularly are given for the smallest units of time;...
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American Practical Navigator: An Epitome of Navigation and Nautical Astronomy

Nathaniel Bowditch - Nautical astronomy - 1916 - 912 pages
...of the times; hi other words, that the differences given in the Almanac are constant- this is seldom the case, but the error arising from the assumption...smaller the less the interval between the times in the Almanac. Hence those quantities which vary most irregularly are given for the smallest units of time;...
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A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volume 1

John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...quantities by simple interpolation ; that is, by assuming that the variations of the quantities are proportional to the differences of the times, which is equivalent to assuming that the variations given in the Almanac are constant. This, however, is never the case ; but the error arising...
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American Practical Navigator: an Epitome of Navigation and Nautical Astronomy

Nathaniel Bowditch - 1920 - 840 pages
...of the times; in other words, that the differences given in the Almanac are constant: this is seldom the case, but the error arising from the assumption...will be smaller the less the interval between the tunes in the Almanac. Hence those quantities which vary most irregularly are given for the smallest...
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