this Cafe, I fear not to Invite all our Scepticks and Unbelievers, to ufe their greatest Nicety, their entire Skill, their fhrewdeft Abilities, and their utmoft Sagacity in this Enquiry; being well affur'd from my own Obfervations in this Matter, That the proper Refult of fuch an exact Historical Enquiry will be as plainly and evidently on the Side of Reveal'd, as I have demonftrated in this Treatife, that Philofophy and Mathematicks are on the Side of both Natural and Reveal'd Religion. And now having Premis'd this, I come to my main Design; to fhew what is properly the Religion of a genuine and confidering Aftronomer; or what are properly the Aftronomical Principles of Natural and Reveal'd Religion. Mr. Mr. Milton's HYMN TO THE CREATOR. THefe are thy glorious works, Parent of good, Thus wondrous fair; thy felf how wondrous then! In these thy loweft Works; yet thefe declare Sure Pledge of Day, that crown'ft the fimiling Morn And xxxj And ye Five other wandring Fires that move His Praise ye Winds that from four Quarters blow, Paradife Loft, Lib. V. Aftrono Aftronomical PRINCIPLES OF RELIGION, NATURAL, and REVEAL'D. PARTI. LEMMATA: Or, The known Laws of Matter and Motion, preparatory to the enfuing Treatife. (Taken out of the AUTHOR's Mathematical Philofophy, where they are all demonftrated.) 1. E VERY Body perfeveres in its own prefent State, whether it be that of Reft, or uniform direct Motion; unless it be compelled by fome Force imprefs'd, to change that State. (2.) All B (2.) All Motion is of it felf Rectilinear. (3.) All revolving Bodies endeavour to recede from the Center of their Motion; and by how much the Motion is the fwifter, this Endeavour is the greater. (4.) The Mutation of Motion is proportional to the moving Force imprefs'd; and is according to the Direction of that Line along which that Force is imprefs'd. (5.) Re-action is always contrary and equal to Action. That is, the Actions of Two Bodies acting upon each other, whether they be Impulfes or Attractions, are always in oppofite Directions, and are alfo equal. (6.) If of two equal Bodies, void of Elafticity, one of them which is in Motion meets the other at reft, upon the meeting they will both proceed forwards together, to the fame part, with half the Velocity of the Body which was moved. (7.) If two equal Bodies, void of Elasticity, do directly meet each other with the fame Velocity, they upon the Collifion will both of them rest. (8.) If two unequal Bodies, deftitute of Elafticity, meet one another with fuch Velocities, that by how much the greater exceeds the other in Magnitude, by fo much it is exceeded by the leffer in Swiftnefs, fo that the Velocities are reciprocal to the Bodies; they will both reft after that meeting. (9.) If a moving Body ftrike another at reft, (but both void of Elafticity) how unequal foever they be in Bulk and Quantity of Matter, they will both move after the fhock with the fame Velocity towards the fame Parts, as in the |