_The Phenomena of the Harvest-Moon explained by a 136 common Globe: The Years in which the Harvest-Moons are least and most beneficial, from 1751 to 1861. The long duration of Moon-light at the Poles in Winter Page_ CHAP. XVII. _Of the ebbing and flowing of the Sea_ 147 CHAP. XVIII. _Of Eclipses: Their Number and Period. A large 156 Catalogue of Ancient and Modern Eclipses_ CHAP. XIX. _The Calculation of New and Full Moons and Eclipses. 189 The geometrical Construction of Solar and Lunar Eclipses. The examination of ancient Eclipses_ CHAP. XX. _Of the fixed Stars_ 230 CHAP. XXI. _Of the Division of Time. A perpetual Table of New 248 Moons. The Times of the Birth and Death of_ CHRIST. _A Table of remarkable Æras or Events_ CHAP. XXII. _A Description of the Astronomical Machinery serving to 260 explain and illustrate the foregoing part of this Treatise_ _ERRATA._ _In the Table facing Page 31, the Sun’s quantity of matter should be 227500. Page 40, l. last, for_ infinite _read_ indefinite. _Page 97, l. 20, for_ this _read_ the next. _Page 164, l. 2 from the bottom, for_ without any acceleration _read_ as above, without any acceleration. _Page 199, l. 16 for_ XIV _read_ XV. _Page 238, l. 16, for_ 40 _read_ 406. _Page 240, l. 15 from the bottom, for_ Tifri _read_ Tisri, _Page 249 l. 13; from the bottom for_ XVII _read_ V. ASTRONOMY EXPLAINED UPON Sir ISAAC NEWTON’s PRINCIPLES. CHAP. I. _Of Astronomy in general._ [Sidenote: The general use of Astronomy.] 1. Of all the sciences cultivated by mankind, Astronomy is acknowledged to be, and undoubtedly is, the most sublime, the most interesting, and the most useful. For, by knowledge derived from this science, not only the bulk of the Earth is discovered, the situation and extent of the countries and kingdoms upon it ascertained, trade and commerce carried on to the remotest parts of the world, and the various products of several countries distributed for the health, comfort, and conveniency of its inhabitants; but our very faculties are enlarged with the grandeur of the ideas it conveys, our minds exalted above the low contracted prejudices of the vulgar, and our understandings clearly convinced, and affected with the conviction, of the existence, wisdom, power, goodness, and superintendency of the SUPREME BEING! So that without an hyperbole, “_An undevout Astronomer is mad_[1].”