To the Radius 1 let _a_ = 61/64 = 0,95112 the Sine of some Arch which is therefore 72° 23', whose Fifth part (because _n_ is equal to 5) is 14° 28' the Sine of it is 0.24981 = ¼ nearly. The same is the Method of proceeding in Equations of higher Dimensions. _A Discourse concerning the Action of the Sun and Moon on Animal Bodies; and the Influence which This may have in many Diseases. By _Richard Mead_, M. D. F. R. S._ PART I. That some Diseases are properly the Effects of the Influence of the Heavenly Bodies, and that others do vary their Periods and Symptoms according to the different Positions of one or other of those Luminous Globes, is a very ancient and certain Observation. Upon this score _Hippocrates_[18] advises his Son _Thessalus_ to the study of Geometry and Numbers, because _the Knowledge of the Stars is of very great use in Physick_[19]. And the earliest Histories of Epidemic Distempers, particularly do all turn upon the alterations made in our Bodies by the Heavens. But when in later Times Medicine came to be accommodated to the Reasonings of Philosophers; no body being able to account for the manner of this Celestial Action, It was allowed no farther share in affecting our Health, than what might be imputed to the changes in the manifest Constitution of the Air, excepting perhaps something of Truth which still remains disguised and blended with the Jargon of Judiciary Astrology. In order therefore to set this Matter in a little clearer light, I shall in the first place shew, That the Sun and Moon regarding their Nearness and Direction to the Earth only, besides the Effects of Heat, Moisture, _&c._ thereby caused in our Atmosphere, must at certain times make some Alterations in all Animal Bodies; then enumerate some Histories and Observations of such Changes, and enquire of what Use such Thoughts as these may be in the Practice of Physick. It is a constant Observation of those who write the History of the _Winds_, That the most Windy Seasons of the Year, are the Time about the Vernal and Autumnal Equinox; for be the Air never so calm before or after, we never fail of having Winds at that Juncture. Every body likewise knows, that in the most quiet Weather we are sure of some Breeze at Mid-day and Mid-night, as also at Full Sea, _i.e._ always about the time the Sun or Moon arrive at the Meridian. Seamen and Country People reckon upon This, and order their Affairs accordingly. And the changes of the Weather as to Winds or Calms especially about the New and Full Moon, are too well known to require any Authority to confirm such Remarks. Those who desire a fuller account of these Observations, may see it in _De Chales_'s Navigation, _Gassendus_'s Natural Philosophy, and _J. Goad_, his _Astro-Meteoro-Logica_.