LECTURE I.

CONTAINING a general Intro­duction concerning the Methods used by Philosophers; & the Use, and Importance of Sir ISAAC NEWTON's celebrated Rules in judging of Natural Experi­ments. Also, the Definitions of such Terms as are of more com­mon Use; and the Explanation of the Essential Properties of Matter, which are con­tained by several curious Experiments.

[Page 2] PARTICULARLY, in this Lecture is shewn, by proper Machines, that there are do facto interspers'd Vacuities in Nature; and that the Solid Parts of the World heat but a very little proportion to Void; that Quantity is Infinitely Divisible, and in Natural Bodies the parts are so prodigiously minute as to ex­ceed all Imagination; several Instances of which are given, both in Art and Nature; and an Experiment made whereby a Cubic Inch of Water is actually divided into several Millions of Parts, visible to the naked Eye: that all Matter is the same, and capable of any Form, or Appearance, as is shewn in several Instances of the Changes of the same particles in the Constitution of different Bodies.

LECTURE II.

CONCERNING the General Laws of Nature▪ Sc. the Attraction of Gravity, the Attraction of Cohesion, and Repulsion; with an Enumeration of the particular Properties, and Circumstances of Each; all which are confirmed by a great variety of Expe­riments, and applied to the Explanation of several in­tricate Phoenomena in Nature.

IN this Lecture the ATTENDANT will see, that Sir ISAAC NEWTON's Philosophy is no imaginary Scheme, or Hypothesis, as is perpetually objected by some Philosophers; but that his Principles are founded upon Fact, and Experience, and no other than what Nature herself has made Use of in the Fabrick of the World.

LECTURE III.

OF such Special Laws of Nature as obtain in some particular Cases. Being a Collection of various Experiments concerning Electrical Attraction, and Repulsion; wherein the chief Circumstances, and Properties of that remarkable Phoenomenon are shewn; Experiments relating to the Electrical Phosphorus, [Page 3] the Vitreous Phosphorus, the Mercurial Phosphorus, the Solid, and Liquid Phosphorus; with the Appli­cation of Electrical Light to the Discovery of the true Cause of several Uncommon Lights, and especially such as are produc'd upon the Attrition of the Parts.

ALSO, Experiments relating to the Loadstone, whereby the Law of Magnetical Attraction is discovered, and such properties of that wonderful Stone shewn, as have hitherto been applied to the Uses of Civil Life.

LECTURE IV.

OF the General Principles of Mechanicks: con­sisting of Definitions relating to the Velocity, Momentum &c. of Moving Bodies; Experiments to distinguish Velocity from Motion; the Method of estimating, augmenting, or diminishing the Quantity of Motion in Bodies; with a Comparison between the warlike Engines of the Ancients, and the Forces of Gun-Powder; Experiments shewing, that the Mo­menta of Bodies are in a compound Ratio, of the Velocities, and Quantities of Matter, which is the fundamental proposition of Mechanicks; a familiar Explanation of various Mechanical Terms, particularly, of the Centre of Motion, the Centre of Magnitude, and Centre of Gravity, which are illustrated by seve­ral Machines; with the manner of finding those Cen­tres in Natural Bodies: Experiments about the Falling, Sliding, and Rolling of Heavy Bodies; of the Rolling-Lamp; with the Application of the whole to Astronomical Affairs, and several important Uses in Life; as well as the Solution of several entertaining Problems.

LECTURE V.

CONTAINING some General Things concerning the Mechanical Powers. Experiments upon the Ballance, whereby the several Properties thereof are demonstrated; of the Statera Romana; of the De­ceitful [Page 4] Ballance; of the difference between Fixt, and Moveable Weights on the Ballance; with a curious Case relating to the Increase of a Weight on the Bal­lance without any new Addition, or Alteration of the Line of Direction; Experiments on the Lever; of the Three sorts of common Levers; of the Lever that is us'd in carrying of Burthens; with Experiments to shew how Men, or Horses of unequal Strength may be made to carry, or draw Burthen in Proportion to their Strength; of Bent-Lever; Experi­ments on Compound Levers; with an Explanation of Such Instruments, and Machines in common Life, as are of the Lever-Kind; Experiments on Pulley; the Action of Single Pulleys considered in several different ways; of various Systems, or Combinations of Pulleys.

LECTURE VI.

EXPERIMENTS on the Axis in Peritrochio; an Explanation of several common Instruments of that kind; of Wheels, with Teeth or Cogs; and the Endless Screw; a general Method of computing the Forces in any Train of Wheelwork; Experiments on the Single, & Double Wedge; of the Nature of Screws; of some Miscellaneous Mechanical Principles as the Inclined Plane, the Single Wheel of Com­pound Machines, or Engines, with a particular Expla­nation of such as are used in the Affairs of Life, and the Method of computing the Ratio of their Forces.

LECTURE VII.

CONCERNING Relative Motion, and the Phaeno­mena that depend thereon; with Rules and Ex­periments to distinguish Relative, and Absolute Mo­tion; of the Motion of the Earth, with Satisfactory Ans­wers to the chiefest Objections against it. Of Sir ISAAC NEWTON's First Law of Motion, Viz. 'That all Bodies continue in their State of Motion, or Rest [Page 5] uniformly in a Right Line, except so much as they are forc'd to change that State by Forces impres'd; with various Examples, and Experiments to illustrate and confirm the same; as well as to shew the Use, and Importance thereof in Philosophical Affairs.

LECTURE VIII.

CONCERNING Sir ISAAC NEWTON'S Second Law of Motion, Viz 'That the Change of Motion is always proportional to the Moving Force impres'd: and is always made in the Right Line in which that Force is impres'd; of Accelerated and Retarded Motion, which the Explanation of several Instances thereof in Civil Life; Experiments to shew that Forces acting in the Direction of the Sides of a Parallelogram, produce a new Direction in the Dia­gonal; of the Composition, and Resolution of Lines, and Forces, with the Use thereof in Mechanical Machines &c, of Oblique Powers, with the Application thereof to the Action of Flying, Swimming &c. the Method of Computing the Force of the Air on the Sails of Windmills, Ships Gallileus's Demonstrations concerning the Strength of the Bones, reduced to Ex­periment, from which the whole Mistery of Sampson's, or Strong Men is derived.

LECTURE IX.

CONCERNING Oblique Descents. Gallileus's Method to determine the Space that Bodies des­cribe in a given part of Time by Falling freely; of the Comparison of Inclined Planes; of Oscillatory Motion, with various Experiments on Pendulums; of Compound Pendulums; of the Description, and chief Properties of the Cycloid, and M. Hugens Me­thod of Cycloidal Cheeks for regulating the Vibrations of Pendulums; of the use of Pendulums; An Ex­periment to shew the Analogy between the Swings of a Peudulum, and the Waves of the Sea; of the [Page 6] Length of Pendulums in different Latitudes, and the Alteration thereof by Heat, and Cold; with some cu­rious Experiments relating to the Expansion of Metals by Heat.

LECTURE X.

CONCERNING Projectile Motion. Experiments to prove, that all Moving Bodies within the Sphere of the Earth's Attraction describe the Parabola. Of the Theory of Gunnery; several curi­ous Experiments relating to the most remarkable Cases in Gunnery; being a sort of Praxis upon the chiefest Propositions of Sir ISAAC NEWTON concerning Projectile Motion. The Nature of Fortifi­cation explained upon a large Plan.

LECTURE XI.

CONCERNING Circular Motion. The chief Cir­cumstances, and Conditions of Circular Motion shewn by Experiments; various entertaining Experi­ments relating to the Centripetal, and Centrifugal Forces of Revolving Bodies; the chief Propositions in Sir ISSAAC NEWTON'S Principia concerning Central Forces reduc'd to Experiment, on the Whir­ling Tables; a curious Experiment lately contrived by Dr. DISAGULIERS relating to the Figure of the Earth, with an Application thereof to the Figures of the rest of the Planets. Of Motion in the Conic Sections.

LECTURE XII.

CONCERNING Sir ISAAC NEWTON's Third Law of Motion, Viz. That the Actions, and Reactions of Bodies upon one another are always e­qual, and in contrary Directions. Several Instances, and Experiments to illustrate, and confirm that Law; of [Page 7] the Congress of Common Bodies, with Experiments on the several Cases thereof; of the Congress of Elastic Bodies, with a variety of Experiments relating thereto; some extraordinary Cases in the Collision of Elastic Bodies; and an Experiment proving that a Small Elastic Ball will communicate more Motion to a Greater in impinging upon it, than it really has it self: Of Oblique Congress, with Machines to shew the several Cases thereof Experimentally.

LECTURE XIII.

CONCERNING Elasticity. That the Elasticity of Bodies depends upon the Attraction, or Repul­sion of their Parts; Experiments on Strings, and Metalline Fibres; of Elastic Plates, and Solids; Experiments shewing that Elastic Bodies are a Con­geries of Elastic Plates, with some curious Experi­ments, and Observations on the Instruments▪ of Sound, as Bells, &c. of Elastic Fluids; of the Organ of Hearing; of the Theory of Music; several entertain­ing Experiments relating to the Trembling of Consonant Strings; with a Philosophical Account of the strange Effect of Music on Natural Bodies: of the Division of the Monochord, with Experiments shewing the respective Lengths thereof in Musical Notes; of the Echo.

LECTURE XIV.

OF the System of the World: with Spheres, and Tables to explain the Motions of the Planets. Of the Primary Planets, their Order, the Figure, and Inclination, of their Orbs▪ Distances, Eccentricities, Periods, Magnitudes, Densities, Degrees of Heat, and Light, &c. with an Explanation of all such Astrono­mical Terms as relate thereunto; of the Astronomy of the Moon, and the other Satellites; of the Ring of Saturn; of Jupiter's Belts; and some general Ob­servations concerning the Surfaces of the Planets; of [Page 8] the Astronomy of Comets, with an Account of such as are expected by Astronomers in the present Century, with the Grounds, and Reason of such Expectations; of the Sun; of the Fixt Stars.

OF the Revolutions of the Planets upon their Axes, with an Account of such Phaenomena as are de­rived therefrom; where will be particularly shewn up­on Globes the reason of the different Seasons of the Year, the different Length of Day, and Night, and the Ill-conveniencies attending any other Situation of the Axis of the Earth's Rotation; with a particular Explanation of various Geographical Terms, and Problems.

LECTURE XV.

CONTAINING an Explanation of the most remar­kable Astronomical Phaenomena, on the Copernicus, or a Machine representing the Motions &c. of the Pla­nets according to the Copernican, or True System of the World. Of the Phases of the Planets; of the Aspects of the Planets; of the Appulses of the Moon to the Fixt Stars; of the Transits of Mercury, and Venus over the Sun's Disk; of the Eclipses of Jupi­ter's, and Saturn's Satellites; of the Eclipses of the Moon, and Sun, with a particular Apparatus to explain those remarkable Phaenomena to the meanest Capacities; of the Method of determining the Longitude of Pla­ces both at Sea, and on Land, with the manner of composing the Map of a Country &c. by Celestial Ob­servations: of Comparative Astronomy, with a par­ticular Account of the different Appearances of the System to an Observer placed Successively, on the Sun, Mercury, Venus, and the rest of the Planets.

LECTURE XVI.

CONTAINING the Physical Causes of the Plane­tary Motions &c. in the Solar System. An Ac­count of some celebrated Observations made by [Page 9] KEPLER, with some General Remarks upon Ellipti­cal Motion, of Universal Gravity, with a particular Explanation of the Absolute, Accelerating, and Mov­ing Forces in Central Bodies; of the Method which Sir ISAAC NEWTON used in discovering the true Cause of the Centrietal Force of the Moon, with an Account of the Manner of Calculating the Sun's Attractive Force upon the several Planets in the System, and of the Primary Planets upon their Sa­tellites: The Physical Explanation of several Irregu­larities in the Planetary Motions, especially in the Moon; the Physical Explanation of the Motion of the Earth's Axis &c. with the Method of determining the Densities, and the Figures of the Planets; concerning the True Cause of the Tides, with several Machines, and Schemes to explain the most noted and remarkable Phanomena thereof; together with an Historical Ac­count of several Particulars, relating thereunto, that are very Remarkable, with the Philosophical Solution thereof.

A General Conclusion, concerning Judicial Astro­logy; whereas is shown, how contrary the Principles of that pretended Science are, to the Establish'd Laws of Nature, and how vain and absurd all such Conclusions, and Calculations are, that are made from them.

N. B. THE foregoing Lectures, with the Experiments, are of such a Length as to be an Evening's Entertainment: But at the Desire of the ATTENDANTS this Course may be divided into a greater Num­ber of Lectures, by which means each may be contracted within the Limits of an Hour.