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A44322 Lectures de potentia restitutiva, or, Of spring explaining the power of springing bodies : to which are added some collections viz. a description of Dr. Pappins wind-fountain and force-pump, Mr. Young's observation concerning natural fountains, some other considerations concerning that subject, Captain Sturmy's remarks of a subterraneous cave and cistern, Mr. G.T. observations made on the Pike of Teneriff, 1674, some reflections and conjectures occasioned thereupon, a relation of a late eruption in the Isle of Palma / by Robert Hooke ... Hooke, Robert, 1635-1703.; Papin, Denis, 1647-1714.; Young, James.; Sturmy, Samuel, 1633-1669.; G. T. 1678 (1678) Wing H2619; ESTC R38967 35,527 58

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fixed the hand or Index z then trying with the former weights put into the Scale E you will find that if F put into the Scale E sinks the bottom of it x to o then G will sink it to p and H to q I to r K to s L to t and z will point at 1 2 3 4 5 6 7 8 on the Wheel The trials with a straight wire or a straight piece of wood laid Horizontal are so plain they need not an explication by figure and the way of trying upon Air I have long since explained in my Micographia by figures From all which it is very evident that the Rule or Law of Nature in every springing body is that the force or power thereof to restore it self to its natural position is always proportionate to the Distance or space it is removed therefrom whether it be by rarefaction or separation of its parts the one from the other or by a Condensation or crowding of those parts nearer together Nor is it observable in these bodys only but in all other springy bodies whatsoever whether Metal Wood Stones baked Earths Hair Horns Silk Bones Sinews Glass and the like Respect being had to the particular figures of the bodies bended and the advantagious or disadvantagious ways of bending them From this Principle it will be easie to calculate the several strength of Bows as of Long Bows or Cross-Bows whether they be made of Wood Steel Horns Sinews or the like As also of the Balistae or Catapultae used by the Ancients which being once found and Tables thereof calculated I shall anon shew a way how to calculate the power they have in shooting or casting of Arrows Bullets Stones Granadoes or the like From these Principles also it will be easie to calculate the proportionate strength of the spring of a Watch upon the Fusey thereof and consequently of adjusting the Fusey to the Spring so as to make it draw or move the Watch always with an equal force From the same also it will be easie to give the reason of the Isochrone motion of a Spring or extended string and of the uniform sound produced by those whose Vibrations are quick enough to produce an audible sound as likewise the reason of the sounds and their variations in all manner of sonorous or springing Bodies of which more on another occasion From this appears the reason as I shall shew by and by why a Spring applied to the balance of a Watch doth make the Vibrations thereof equal whether they be greater or smaller one of which kind I shewed to the right Honourable the Lord Viscount Brounker the Honourable Robert Boyle Esq and Sir Robert Morey in the year 1660. in order to have gotten Letters Patents for the use and benefit thereof From this it will be easie to make a Philosophical Scale to examine the weight of any body without putting in weights which was that which I mentioned at the end of my description of Helioscopes the ground of which was veiled under this Anagram cediinnoopsssttuu namely Vt pondus sic tensio The fabrick of which see in the three first figures This Scale I contrived in order to examine the gravitation of bodies towards the Center of the Earth viz. to examine whether bodies at a further distance from the Center of the Earth did not lose somewhat of their power or tendency towards it And propounded it as one of the Experiments to be tried at the top of the Pike of Teneriff and attempted the same at the top of the Tower of St. Pauls before the burning of it in the late great Fire as also at the top and bottom of the Abby of St. Peters in Westminster though these being by but small distances removed from the Surface I was not able certainly to perceive any manifest difference I propounded the same also to be tried at the bottom and several stations of deep Mines and D. Power did make some trials to that end but his Instruments not being good nothing could be certainly concluded from them These are the Phenomena of Springs and springy bodies which as they have not hitherto been by any that I know reduced to Rules so have all the attempts for the explications of the reason of their power and of springiness in general been very insufficient In the year 1660. I printed a little Tract which I called An Attempt for the explication of the Phenomena c. of the rising of water in the pores of very small Pipes Filtres c. And being unwilling then to publish this Theory as supposing it might be prejudicial to my design of Watches which I was then procuring a Patent for I only hinted the principle which I supposed to be the cause of these Phaenomena of springs in the 31 page thereof in the English Edition and in the 38 page of the Latine Edition translated by M. Behem and printed at Amsterdam 1662. But referred the further explication thereof till some other opportunity The Principles I then mentioned I called by the names of Congruity and Incongruity of bodies And promised a further explanation of what I thereby meant on some other occasion I shall here only explain so much of it as concerns the explication of this present Phaenomenon By Congruity and Incongruity then I understand nothing else but an agreement or disagreement of Bodys as to their Magnitudes and motions Those Bodies then I suppose congruous whose particles have the same Magnitude and the same degree of Velocity or else an harmonical proportion of Magnitude and harmonical degree of Velocity And those I suppose incongruous which have neither the same Magnitude nor the same degree of Velocity nor an harmonical proportion of Magnitude nor of Velocity I suppose then the sensible Universe to consist of body and motion By Body I mean somewhat receptive and communicative of motion or progression Nor can I have any other Idea thereof for neither Extention nor Quantity hardness nor softness fluidity nor fixedness Rarefaction nor Densation are the proprieties of Body but of Motion or somewhat moved By Motion I understand nothing but a power or tendency progressive of Body according to several degrees of Velocity These two do always counterballance each other in all the effects appearances and operations of Nature and therefore it is not impossible but that they may be one and the same for a little body with great motion is equivalent to a great body with little motion as to all its sensible effects in Nature I do further suppose then that all things in the Universe that become the objects of our senses are compounded of these two which we will for the present suppose distinct essences though possibly they may be found hereafter to be only differing conceptions of one and the same essence namely Body and Motion And that there is no one sensible Particle of matter but owes the greatest part of its sensible Extension to Motion whatever part thereof it ows to Body