APOLLO STATICUS OR, THE ART OF CURING FEVERS BY THE STATICKS Invented by Dr. PITCAIRN AND Published by him in Latin: NOW Made English by a Wellwisher to the MATHEMATICS.  Capiat qui capere potest. 
EDINBURGH, Printed by J. W. and Sold at James Wardlaw's Shop, opposite to the Locken-buiths. 1695. Price 4 ss.   

The PREFACE.  
YOU have here a fresh Instance of the Power of the Mathematics, and of the Usefulness of Geometry in Medicine. It is the Decision of a grand Controversy about Purging in Fevers, that many have quibbled at in vain. At last Dr. Pitcairn applied his Mathematics to the Question, and has solved it by a Method not to be imitate: As he tells us himself in his Learned and Eloquent Answer to Apol: Mathem: Pag. 5. It was writ originally in a dead Language, and is now Translated into a living, for the benefit of all those who understand not Latin, and have no mind either to be scorched, or reduced to Ashes, by the fatal Flames of a burning Fever. The Version is almost literal, it being dangerous in a Thing of this consequence, wherein the Life of Man is so nearly concerned, to mistake the Sense of the Author, or deviat so much as an hairbreadth from the Original. Wherefore I hope none will be offended with the harshness of the Style, which can never be evited in ā literal Translation. Besides, it were an Injury done to the learned Author, to put barbarous Latin into good English. But if any thing be amiss as to the Sense, he is to blame for it himself: For a Copy was sent to him by the Translator, and was returned without any Amendments.  
I will not Commend this Piece too highly; but this I may say, that any one who reads it attentively, will find it one continued Mistake from the Beginning to the End: And that never any one Man bewrayed more Ignorance and Inadvertency in so few Lines. I confess the Author has done Wonders in his Inaugural Oration, and far outdone all that ever wrote Nonsense before him: But here he has even outdone himself. That may be called an Original, but This a Masterpiece, that can no more be imitate than Homer's Iliands. It would make any Body blush to see how he stumbles on the very Threshold, and mistakes the Foundation and Groundwork of the Fabric he is to raise. For instead of giving us out of Sanctorius the Sensible and Insensible Evacuations, in the same space of time, he gives us the Sensible Evacuation of a Night's time, and the Insensible of a natural Day, which is 24 Hours: (as is evident by the Aphorisms cited by himself) and so ha' lost 16 Ounces of his Account: Which is clear from the 6 Aphor. Sect. 1. But allowing him to have stated the Account right, yet he has cast it up wrong. For he tells us, that Perspiration is the double of the Sensible Evacuation (which he makes 50) that is to say, twice 20 makes 50. And so on.  
Having now determined, as he fancies, the difference between Sensible and Insensible Evacuations, he proceeds to open up this Mystery, which lay hid from the Ages past. And from this, that Perspiration is the double or triple of the other Evacuations (though it be neither according to the 6 Aphor. Sect. 1. above cited) and 10 times as much as Stool, he very Dogmatically, or rather Mathematically concludes, that the suppression of the 3d. part of the perspirable Serosity will occasion as great a Fever, as the suppression of all the other Evacuations together: And that the suppression of the 10 part of Perspiration will do as much hurt, as the suppression of the whole Excretion by the Belly. And for the same reason that the promoving the 3 part of Perspiration suppressed, will be as effectual in Curing a Disease, as the promoving all the other Evacuations suppressed; and the procuring the 10 part of the same, as good as the whole Excretion by Stool. Then after all learnedly concludes, that Fevers and other Diseases will be 10 times more probably Cured by Sweat than Stool. Which is such an absurd Notion and extravagant Fancy, and so contrary to the natural Oeconomie, that I wonder it ever entered into any Man's Head but in a Dream. For besides its native Absurdity, it downright contradicts the Premises, and concludes the quite contrary of what he proposes. For he proposes to us the Cure of Fevers by procuring Perspiration, and then tells us this is to be done by Sweeting, which is no Perspiration at all. Why not good Dr. as well by Urine or Stool, which differ no more from Perspiration than Sweat does according to Sanct.? But which is more, who tells us expressly Aph. 3 § 5. That Sweat alwise hinders Perspiration. Must we then advance Perspiration by that which hinders it? No doubt, and the Argument runs thus: The best and readiest way to Cure Fevers is by Perspiration. And the best way to promove Perspiration is by Sweeting, which hinders it and does not promove it at all. Erg. the best and readiest way to Cure Fevers is by that which does not Cure them at all: that is, the best way of Curing Fevers is not to Cure them at all, q.e.d. It follows also from the same Principles, that if Fevers are to be Cured, the worst way to Cure them is by Sweat. For according to the Dr. the most probable and ready way to Cure them, is by promoving these Secretions that are naturally the greatest; and so far as one natural Secretion exceeds another so much the more probable it is, that the Fever will be Cured by the one rather than the other; and therefore Perspiration being 10 times more than Stool a Fever will be 10 times more probably Cured by That than This. And since Urine is 4 times more than Stool, a Fever will be 4 times more probably Cured by Urine than Stool. And since Evacuation by Stool is indefinitely greater than Evacuation by Sweat (for some Men scarce ever sweat in Health, and others very little) but I shall suppose it only a 1000 times greater. Then it follows, according to the Professor's Doctrine, that a Fever will be a 1000 times more probably Cured by Stool than Sweeting: And that the worst way to Cure Fevers is by Sweeting. q.e.d. The Professor's Practice likeways contradicts his Doctrine here. For he tells us Parag. 11. that a Disease will be sooner carried off by augmenting Insensible Perspiration, than any other Secretion: And in the mean time he pretends to Cure Scurvies, Dropsies, Rheumatisms, etc. by augmenting Salivation or Spitting, which is a sensible Evacuation, and which naturally is very little in sober Men, in respect of insensible Perspiration, and so flatly contradicts himself. q. e. d.  
More might be said to demonstrate the vanity of this Man's Pretensions, and the absurdity of this following Discourse: But the reading of it will supply that, and prove the best Refutation of all. But by what is here said, any Body may see the vast difference that is between one that takes his Observations from Nature, and one that takes his Marks by the Moon, that is, between a Rational and Mathematical Physician.  
— Pudet haec opprobria vobis,  
Et dici potuisse & non potuisse refelli,   

ARCHIBALD PITCAIRN's DISSERTATION Of the CURE of FEVERS BY EVACUATIONS Read before the College of Physicians of Edinburgh, the First Day of November, 1694.  
PHYSICIANS think Continual Fevers arise from the Fault of some Liquor or Body, stirring up Phaenomena, which all knows are proper to Fevers; to which Body or Liquor, they attribute the Name of Morbific Matter. Some will have this Matter to be an Humour that's usually excerned by these in Health, but so changed in sick Persons, that it both begets the Symptoms of Fevers, and of its own accord, that is, by the natural Force of the Blood cannot be expelled: Others think it comes from without, calling it, a Miasma; and being joined to the Liquor that's naturally to be secerned, that it kindles a Fever. It's not much matter which of them be truest, because they come both to one, whether the Matter morbific comes from without, or whether the Humour within be changed to the morbific Matter.  
II. Physicians fell into these Opinions, after they observed Fevers to come upon the suppressed Transpiration of the Skin, or any other Evacuation, to which the Animal was used, being stopped or diminished. But the Thing seemed very manifest to these who observed what way Fevers ended. Some they saw end by Sweat, Others by copious Urine, Some by Flux of the Belly, and a Crise to come by a Secretion, provocked throw any Glands, conveying the Humour out of the Animal: Wherefore they were persuaded, that it was some morbific Matter nursed the Disease, which ought to be expelled out of the Body, after they had brought it into that fluidity, or so changed it (which they call the procuring of Concoction and Digesting) that it might be cast out of the Body.  
We do not debate of that Concoction so much celebrate; but only inquire, What Evacuation or Secretion is to be chosen in curing Fevers, if perhaps any be to be chosen? In this Search we shall be silent of the Cure by Blooding, because we purpose only to inspect these Evacuations that fall out by ways naturally open in the healthy Animal, and which Physicians aim at after Blooding, when they judge it fit to be done.  
III. But because there is an Opinion of Writers, now Famous, that Fevers arise by the Fault of the Ferments proper to every part, or by the Fault of the fermenting Parts of the Blood: And this Opinion pleases Fops, because it makes them Philosophers, and Physicians furnished with a stock of Three Words: I'll propose this Thing in the Words of the ingenious Nicolas Steno out of the Prodromus of his Dissertation of a Solid naturally contained within a Solid. His Words are. Beside the subtle Fluid penetrating all things, at least we observe three kinds of Fluids in Animals: The First is External, the Second Internal and Common, the Third Internal and proper to each Part. By the Word External Fluid, I understand not only that in Animals which incompasseth the outward, like the Atmosphere, but also that which touches the rest of the Superfices of the Body, that are continuous by the greater Passages with the foresaid Superfice, such as the Superfice of the Aspera Arteria, and the Superfice of the way of the Aliment, etc. Therefore he says," I call that the Inward Fluid, which does not communicate with the External Fluids', but by the intermediat small Holes of the capillary Vessels. The External Common Fluid is that which is contained in the Veins and Arteries in the lymphatic Vessels, and it may be in the Nerves. The Internal Proper Fluid is that which incompasseth the capillary Vessels of the Common Fluid, and is divers, according to the Places. Then he adds, that the Reason why in divers places from the same Blood, divers things are excerned, depends upon the Places, whose consideration, he says, is absolved by these Three.  
1st. By the consideration of the capillary Vessels of the internal common Fluid, in which they are only taken up, who ascribe all to Cribration throw divers Pores, of which number I was once one.  
2dly, By the consideration of the proper internal Fluid, about which only are conversant, these who attribute to every Part a particular Ferment; whose Opinion partly may be true, although the Name of Ferment go upon a Comparison taken from a thing too peculiar.  
3dly, By consideration of the Solid of every particular part, to which they seem chief to adhere; who by attributing to every Part its form, show that they acknowledge something proper to the Part, but unknown to us, which according to that knowledge of Matter which we already have, can be nothing else but the porous Superfice of that Solid, and the subtle Fluid going throw these Pores. He says, I should go too far beyond the purpose, if I would apply these foregoing things to explain these things that befall daily our Bodies, and cannot be explained otherwise. It suffices here to have insinuat, that from the external Fluid many ways Particles are separate and carried into the internal common Fluid, by the mediation of Cribration; whence likewise they being secerned several ways, and transmitted to the proper internal Fluids, by the new Cribration, they are applied to the solid Parts, either by the way of the Fibres or Parenchims', according as they are determined by the unknown property of every place, that is included in the consideration of these Three preceding Things.  
IU. But we in a Dissertation of the Circuit of the Blood throw the the smallest Vessels, had and published at Leyden the 1st. January 1693. Although we showed these Ferments not to be found in the Bodies of Animals; yet that we might accommodate it to their Capacities that does not take up Demonstrations, we are pleased to propose the whole Matter, so as it may be understood by new Beginners. From these Things that are described here in the Words of Steno, it may be asked, by what way, from the same Blood, so many divers Liquors are secerned, why in the Liver Bile, and the Reins Urine, and other Things in the rest of the Parts? The Ancients thought this was done by Attraction, whose Sentence to explain better than they could themselves, it will be easy to him that understands Newton's Writings. Some Physicians of late having exploded the word Attraction, have committed this Work to Ferments, which they constitute different in various Glandules, or in divers Colatories. But we showed that there are no Glandules which have different Pores, because the Artery and the Vein, no Glandule intervening, are stretched out into one and the same Vessel, which Autopsia or Sight confirms. We showed also, that the Orifices of all the Vessels are circular, and alike. Whence it follows, that there is no place for the First and Third of Steno's Considerations. But also it follows hence (that having laid aside Attraction that those Men reject, and which being admitted there had been no need of Ferments) by the defect of Glands, instructed with Pores of different figures, that the Ferments of those proper internal Fluids, proper to every Part, behoved all to be washed out of the Orifices, by the Force of the Blood going throw the Arteries. And if they stick any where, they will stick in every place, making no distinction of the places (for there is none) and therefore any Secretion will still go out by every place, having no respect to Ferments. Because if alike Ferments stick to alike Orifices, there will be no diversity, nor no use of Ferments. But if you affirm, that in alike places, unlike Ferments are derived from the Blood, and repaired from its Mass, the Question comes back to the first, viz. How is it, that from the Blood in the Arteries of the Liver, that are like the Arteries of the Reins, is secerned a Ferment, serving for the secerning of Bile? Or why the Particles that repair this Ferment, go rather into the Liver than to the Reins, especially not Attraction intervening.  
V Neither is it only for the Reasons here, and in the other Dissertation manifest, that there is no divers Ferments peculiar to every Part; but that may be also known from the known Properties of the Blood. For what way shall any Part draw from the Blood a Ferment proper to its self, and fit for no other Part? Or how shall it repair the Ferment diminished or vitiat, or pluck from the gliding Fluid the Ferment that it has not in its Mass? It's known to these learned in Chymy, that no Acid can be drawn from the Blood of Animals that can excite Fermentation, or Effervescence with the Alcaly in the Blood. And that no burning Spirit proceeds from Blood or parts of Animals, like that which comes from these things that ferment: Therefore these Ferments cannot be brought from the Mass of Blood nor repaired, nor Fermentations be brought into the Blood at the nod of Sylvies or Willis, to excite Fevers.  
VI I oft wondered that so many suffered themselves to be beguiled, while they glory that the Natures of Things are made known to them. Many of the old Physicians assigned Qualities, or a Temperament made up of Qualities, to every Part, by whose help the Actions and Secretions were governed: Our Authors of Ferments justly esteemed the Qualities and Temperaments for the Refuge of Ignorance; because without Foundation or any adjuvant Phaenomena's they were feigned; neither were they known to any but by their Name. They said therefore, that there was a peculiar Ferment that did preside over every Part and Secretion. But these Great Improvers of Medicine knew no more the Nature of these Ferments, than the Ancients knew the Nature of Temperaments; neither is the Nature of any Ferments proper to any place more known, to any of our Men, than the Nature of occult Qualities is known to the Peripatetics. Whence it is too clear from this Opinion, that nothing New is brought into Medicine, but a Word, or the use of a Word, as I long since admonished in that Dissertation of the Circulation of the Blood throw the smallest Vessels.  
VII. Let us go to other things. We have written it to have been observed, that Fevers are terminated by the augmented cutanious Secretion, and sometimes by the augmented Secretion throw the salival Glands, and ofttimes also by a Secretion throw the renal Glands, or by a Flux superveening throw the Glands of the Liver, Pancreas or Intestines. We need not speak of other kinds of Crisis here, unless perhaps you would add to the rest the Jaundice superveening upon a Fever. Then we observe that there are no excretory Vessels, and no Glands serving for Excretion in our Bodies (that is, Arteries terminating in excretory Vessels) which cannot be augmented unto such an amplitude, that they may be fit to receive and secern any Humour, that naturally is fit to be secerned in other Glandules. Because we observe in Jaundice, that that thick Liquor, which naturally is secerned in the the Glands of the Liver, is secerned in the cutaneous Glands, and that too much Secretion of Spittle by the salival Glands is restrained by provocking of Sweat, and that a Flux of the Belly is stopped by turning the Humour into the ways of Transpiration opened by Sudorificks, and that Salivation binds the Belly; but the Flux of the Belly being stirred up again, that Salivation stops, which, as other Secretions, is stayed by a Flux of Urine.  
VIII. In Fevers especially it is to be observed, how oft any Liquor is carried throw any place, enlarged by the help of Art or Nature; and how that there is no Fever but the like has been terminat by Secretion, throw the sudorific Glandules, oftener than by any other Secretion. So that there is no kind of febrifick Matter that cannot be brought throw the Glands allotted for Transpiration: And though either by the fault of some restrained Secretion, or the stopped motion of the Humour, or the fault of the Fluid, introduced by the chiliferous Vessel, any part of the Blood, or any Humour may be changed into any Nature; yet this is not the Question, but only, in what and how much condition of fault, while it excites Fevers, it uses to be driven or perverted. In solving this Question, Experiments are of use, by which it is shown that this is the Property of febrifick Matter, that it can and uses to go out by all the Vessels; but the thing will be more clear by the following, in the which we will search, what respect the natural Secretions have, and what from that respect can be drawn, proper for the present Design. viz.  
IX. From the Aphorisms 3, 6, 21, 59 and 60. of the First Sect. of Sanct. The Excretions in the given time keep this proportion for the most part.  

By the Belly— 4  
By the Bladder— 16  
By Respiration— 6  
By the Skin— 60, 59, or 40.   
Whence it is manifest, that Perspiration is the double sum of other Secretions (we take here the middle quantity of Perspiration) and twelve times as much as the Belly's Excretion. But I admonish here, Excretion stirred up by the Mouth is accounted for Perspiration: For the little Bladders of the Lungs are no less exposed to the Air than the superfice of the Skin, neither Perspiration naturally breaking forth out of the Vesicles of the Lungs can be hindered more than that which rises from the superfice of the Skin. Because Perspiration passes throw the Pores of the Vessels exposed to the Air. Therefore there is no sudorisick Vessels lengthened like Pipes (although we use that Appellation commonly) in the Skin more than in the Lungs, in which there are no sudorific Canals. If then, that I may return, that Excretion made by the Mouth be reckoned with Perspiration, the cutanious Excretion will be triple the sum of the rest, and 14 times as much as the Belly's: Wherefore Perspiration will be with us at least ten times as much as the Secretion of the Belly. For Perspiration coming out of the Lungs is equal to the excess that any one would ascribe to the Milan Perspiration beyond the British.  
X. Because Fevers and many other Diseases arise both from the cutanious Secretion suppressed, as well as from any other suppressed, and that the cutanious is the double of all the rest, or triple: Therefore the suppression of the half, or third part, of the perspirable Matter, will beget a Fever equal to that, that the suppression of all the rest begets. And because cutaneous is ten times as much as the Belly Excretions: Therefore the diminution of the tenth part of the perspirable Matter will beget a Fever equal to that, that the suppression of the whole Belly begets. For the same causes the help of the half, or third part, of Perspiration, will do as much in putting away a Fever, as the help of all the rest will do: And the help of the tenth part of Perspiration will be of as much avail, as the Belly Excretion altogether. And the whole Perspiration will be of as much avail, as ten Belly Excretions.  
❧ XI. The Thing itself cries indeed, seeing that the Matter of any Secretion may be conveyed by any other augmented, and since any may by any way be augmented by the exhibition of a profitable Medicine: And lastly since Secretions proportionally augmented, keep that measure they naturally had: Therefore a greater heap of morbific Matter, in a certain time, may be brought out by cutaneous Secretion, than by any other whatsomever, in that proportion that the quantity of cutaneous, or skin Secretion, naturally bears to any other Secretion in a natural state. Wherefore a Disease is sooner taken away by Evacuation by the Pores of the skin, than by any other Secretion whatsomever, and that on the foresaid Supposition. From these it follows, that a Disease cannot be so soon put off by making an increase of Stools, as it may be by increasing the cutaneous Secretion, except the increase of the Belly be to the increase of the Cutaneous, in the inverse Reason of Secretions, or as the bulk of the Cutaneous is to the bulk of the Belly in the natural condition. Wherefore the Secretion by the Belly must be a Hundred times more than the Natural, that it may evacuate as much in a Day, as in the like time Perspiration only Ten times more than the Natural evacuats. Or a whole Man must evacuate by the Belly a Hundred times in that time he uses to stool once, and Two Hundred times, or Three Hundred times, who Twice or Thrice: But he who in the space of a Day in Health useth to stool Ten times, he, when he is Sick, if he would be Cured by Stooling, must stool a Thousand times.  
XII. From the Premises it follows, that any supposed Fever (and indeed the same will hold in any Disease arising within the Animal) it is Ten times more probable that it will be Cured by Sweeting than by Stooling: For since the tenth part of Perspiration is equal to Belly Secretion & as easily hapens, or Perspiration made by the 10 part of the Skin; therefore the probability of the Cure by any Perspiration, is Ten times more than the probability of the Cure by Stools: For it is clear that Stools are only one way, but there are Ten Cases in which Stools do not happen, viz. as many as there are Quantities of Perspiration equal to Stools: And therefore the expectation of Stools is One to Eleven, and the expectation of the Cutaneous is as Ten to Eleven (see the Writings of the Geometritians) and the expectation of the Cutaneous is Ten times as much as that we expect of the Stools, or the value of the hope of the first, is Ten times the value of the hope of the second. And it becomes the prudent Physician to endeavour these Things that will not deceive his Hope.  
XIII. We have already discoursed of Secretions that are augmented by Medicines taken within the Animal, and the ways of the Blood's Circuit. Therefore what is said of Belly Secretions belongs to that, that is done in the Glandules of the Liver Pancreas & Intestines, the increase of which is occasioned by Purgatives, properly so called, or breaking into the Animal beyond the first Ways.  
For as to that Belly Excretion that is made by Lenients which frees the first Ways from Filth sticking there, these no more relate to Purging, or Belly Secretion augmented, than washing of the outward Skin is referred to the same. For these Lenients only promove Perspiration of the Intestines like to that of the Skin: For the Pores of the Intestines being opened, there breaks forth a greater bulk of Perspiration, than from the like portion of the upper Superfices of the Body, and these Pores are opened by Medicines cleansing Filth, chief by fit Emetics.  
It's fit here to admonish the proportion of Secretion given by Sanctorius obtains in sound Bodies, in which this most deserving Physician has examined all the Stools (made up of these things which went in to the lacteal Vessels, and which went not in) But we chief discourse of Excrements sent from the Mass of Blood by the Canals of the Liver and Pancreas and intestinal Glands. For in sound Bodies, not using Medicines, this Excretion, by ways conveying liquors from the Mass of Blood, is a very small quantity, and in these that are costive this is scarce observable. Wherefore the respect that the Cutaneous Secretion has to the Belly, will be much more than Ten to One, or also more than a Hundred to One. What may be deduced hence any Body may see.  
XIV. Let there be Two Elastic Canals or Conduits, having Orifices alike upon unequal Diameters, let them receive at every Pulse quantities of alike Liquor, proportional to the Orifices. From these Things that the Elements teaches it is manifest.  
First if the number of the Pulses in the lesser Pipe▪ be more than the number of the Pulses in the greater, in the inverst reason of the Orifices, the quantities of the Liquors that in the given time flow throw these unequal Channels, will be equal, but the velocity of the Liquid flowing throw the lesser, will be more than the swiftness of that flowing by the greater in proportion to the Pulses.  
Secondly, If the number of the Strokes or Pulses in the greater be more (that is, if the Times or Vices in which the greater Canal receives its Liquor be more in number than the Vices that the lesser receives its liquor) the quantity of the Liquid running throw the greater, in the given time, will be greater than the other in the compound reason, according to the proportion that the number of the Pulses of the greater, bears to the number of the Pulses of the lesser, with the respect that the Orifice of the greater, has to the Orifice of the lesser. But the swiftness of the Liquor flowing throw the greater, will be greater in swiftness than that flowing throw the lesser, in the  proportion of Pulses.  
From which it follows, where the Pulse is more frequent than the Natural, that is where the number of the strokes is greater, in the reason first exposed (as it is in Fevers) thesw feness of the Liquor going throw the Arteries is greater, although the Pulse be also less than the Natural, that is, if the Canal becomes less, and is less dilated. Moreover if the number of the Pulses in the greater Canal be greater, that is, if the Pulse be both more frequent than the Natural, and also greater than the Natural, than the quantity of Blood carried through the Arteries in the given time will be much more than the Natural, viz. in the composed Reason declared in the second place. This case happeneth oft in Fevers, & the Velocity of the Blood must be according to the proportion of the Pulses or of the frequency. Let them see who are concerned, what way these Phaenomena's of the Pulses may be explained by the circuit of the Blood, slower than the Natural, & ascribed to Fevers by more Medicasters' than one.  
Now by your leave Gentlemen, having spoken so much of Perspiration, I will explain and demonstrat belinus his Theorem: For none that I know, although it be a most pretty one have given the Demonstration of it. The Theorem is thus.  
The whole quantity of Perspiration coming every Minute from a Shred, whose weight is a Scruple, is 1200 part of a Scrup. That I will show by the following Method.  
Sanctorius declares, that in the space of 24 Hours the Perspiration is 50 Ounces, which makes 1200 Scrup. that is, 50×24 Scrup. Therefore we perspire in the space of an Hour 50 Scr. and every Minute of an Hour there is perspired in the whole Body 5 six parts of a Scrup.  
Since then the middle quantity of the weight of the Body of Man is 160 lib. which are equal to 60000 Scr. or 50×1200 there is every Hour expired from the whole Body a quantity of Perspiration, which is 1200 part of the Body: And therefore from every part of the same there will expire the 1200 part, or in the space of an Hour there will go out of every Scrup. the 1/1200 of a Scrup. Therefore in that Man whose sum of the Shreds by which Perspiration is driven is 1/60 of his whole Body, that is (of a Man of middle weight) 3 lib. that sum will be at least 1000 Scrup. Therefore there behoves to sweat out by those 1000 Scrup. every Hour 50 Scrup: or by 1 Scrup. every Hour 50/1000 Scrup. must sweat out, that is 1/20 Scrup. And therefore in the space of a Minute, or 1/60 part of an Hour there will sweat out through 1 Scrup: 1/60×20 or 1/1200 Scrup: as belinus finds.  
And because the weight of Perspiration, all things being considered, is according to the weight of the Body perspiring. Therefore in a Body of 120 lib. or 45000 Scrup. the Perspiration in 24 Hours will be equal to 900 Scrup: and Perspiration every Hour will be equal to the 37½ Scrup. Whence every Hour there perspires 1200 part of the Body, and so proportionably of every part and Scruple, because 45000 Scrup: make 1200×37½ Scrup. Wherefore in that Body in whom the outmost Cuticle of the Uterus, Intestins, Lungs, Jaws, etc. made about 2 lib. the sum of the Shreds also by which Perspiration last went throw, was at the least 750 Scrup: or the 60 part of her Body. For she died of an immoderate Issue or Emoragy of Blood from the Womb, the third Day after Childbirth, but her Body was 106 lib. Now throw these 750 Scrup. there behoved every Hour to come out 37½ Sc. that is every Hour out of every Scruple to come out 37/750 ½ Scrup. that equals 1/20 Scru. seeing 20×37 ½ equals 750: Therefore every Minute or 1/60 of an Hour, there will come out throw 1 Scr. 1/60×20 Scr. = 1/1200.  
Q. E. D. i. e. Quod Erat Delirandum.  
FINIS.