Next, they affirm, That there was so great a Variation in the _Parallaxes_, by reason as well of the Refractions of the Air, which environs the Earth, as of the Alteration of the Air, which encompasses the Moon, that the _Horns_ of the Sun, there formed by the Shaddow of the Moon, appeared in all kinds of _Figures_; Sometimes inclined to the _Vertical_, sometimes _Perpendicular_ to the _Horizon_, and at last _Parallel_; the _Convexe_ part respecting the _Heaven_, and the _Concave_, the _Horizon_. By the crossing (_so they go on_) of the {297} _Horns_ with the _Angles of Inclination_, it will be easie to those, that have exactly observed them, and that are skill'd in the higher _Astronomical_ Calculations, to compute the _true Place_ of the _Moon_ in her _Orbite_, that so it may be compared with that of the _Tables_, and with that, which has been observ'd in other places, for the more precise determinating of the _Difference_ of _Meridians_ (that being the way, esteem'd by _Kepler_ the most certain) and for making a good Judgment of the defect or exactnesse of the Celestial _Tables_. Then they observe, That the _Beginning_ and the _Middle_ of this _Eclipse_ hapned to be in the _North Eastern Hemisphere_, and the _End_, in the _South-Eastern_. The _first Contact_ (as 'twere) of the two Disks was observ'd in the _Superior Limb_ of the _Suns Disk_ in respect to the _Vertical Line_, and in the _Inferior_ in respect to the _Ecliptick_: But the _Middle_, and the _End_ were seen in the _Superior Limb_, in respect both to the _Vertical_ and the _Ecliptick_: And (what to this Author seems extraordinary) both the _Beginning_ and the _End_ of this _Eclipse_ hapned to be in the _Oriental_ part of the Suns Disk. Lastly, they take notice, that by their Observations it appears, that there is but little exactness in all the _Astronomical Tables_, predicting the _Quantity_, _Beginning_ and _Duration_ of this Eclipse; Those of _Lansbergius_ importing, That the Obscuration should be of 10. dig. 48'; those of _Ricciolo_, of 9. dig. 1'; and those of _Kepler_, of 7. dig. 30'. 16": Again, that the _Duration_ should be of 2h. 2'. Lastly, The _Beginning_ did anticipate the _Ricciolan Tables_ by 5 _minuts_, the _End_ by 23; and the _Middle_, almost by 11. In the mean time the Author notes, that the _Rudolphin Tables_ come nearest to the Truth; and withal assures the _Reader_ of the goodnesse of the _Instruments_ employed in his _Observations_, and of the singular care, he, together with his skilful Assistants, took in making them. * * * * * _Some Inquiries and Directions concerning _Tides_, proposed by Dr. _Wallis_, for the proving, or disproving of his lately publish't _Discourse_ concerning them_.