“ The first, he considers, are the motions of the Face, and those sounds, which ordinarily accompany the different states of the Body; observing, that naturally they are joyn'd to Passions, which the soul feels on the occasion of changes in the Body: taking also notice, that this manner of expressing on's self is the first of Languages, and the most Universal, since there is no Nation but understands it. ”

“ Discoursing with his Captain and others about the reason of it, the ingenious Sir Christopher Mings, one of the most observing persons in the World, said, that when they approach the Long-reach and Tropick, they begin to sweat excessively, which sweat abounding over the body, cloaks the old Lice and kills them: Just thus, he said, it was an usual remedy for lowzy heads, to rubb them all over with Butter or Oyl, and he would warrant, it would kill all the Lice. And as for any new generation, the sweat not lodging in the pores long enough, it was not disposed to produce these vermine at all ”

“ Then he distinguishes, what it is, that the Body contributes to Speech; examining in a Speaker, how the Air enters into his Lungs; why it makes a sound in issuing out of the Wind-pipe? What diversity the Muscles cause in sound? ”

“ In their return, the sweat lodgeth longer in the pores and habit of the body, and the particular forms or ferments, being exalted and unloosen'd, and put into activity, shape out those creatures, and so they breed them. But if you ask, why they breed in the Head in the Indies; He answers, that though our faces sweat much, yet doth not our hair so much: besides that the sweat is lodg'd in the hair, and there breeds the vermine, and they take not the care of their heads there as here. However, the Spanish Negroes wash their heads with soap once a week to prevent being lowsie ”

“ We see how many ingenious and laborious Artists have long labour'd for the Elliptical or Hyperbolical Section of Glasses, hoping thereby to make that britle body of Glass of more worth, than the fairest Diamonds ”

“ I have often noted some that are short-sighted, I say not pore-blind, to discern all things that are done about them, almost quite behind them, more perfectly then the best-sighted, if the room was not too large for the reach of their sight. ”

“ And now I hope, that all who pretend to Vertue and Philosophy, will use such just scales for the virtue of things, as to estimate every thing, how cheap and contemptible soever it may seem to be, according as 'tis beneficial, and as it brings relief and supply to the distressed. ”

“ For though the ships, they went in, with such a multitude of Servants and Seamen, were not over-cleanly, yet (as he remembers) before they came to the Tropick, there were none Lowsie; whereas before, one could not walk amongst them, but his cloaths would gather Lice. In the Indies (faith he) none are Lowsie, how nasty soever, except it be in their heads; and there they breed much: but he could never hear of the most nasty, that ever they had them in their shirts or cloaths. ”

“ These without any trouble, as oft as I see need, or find ease in the change, I alter. l can only put the very end of my little finger into the orifice of the lesser, but the same finger somewhat deeper, yet not quite up to the first joynt, I can insert into the orifice of the wider. Sometimes I use one eye, sometimes another, for ease by the change; for you must expect that the visual rayes of both eyes will not meet for mutual assistance in reading, when they are thus far divided by Tubes of that length.
The lighter the stuff is, the less it will cumber. ”

“ I caus'd a Glover to sow them with a double-drawn stitch, that they might have an agreeable roundness, and exclude all rayes of light. So l colour'd the Leather with Ink, to take off the glittering. And this was all the trouble I had, besides the practice and patience in using them. Only, finding that the smaller the remote orifice was, the fairer and clearer the smaller Prints appear'd; and the wider that orifice was, the larger Object it took in, and so required the less motion of my hand and head in reading ”

“ Hugenii non minus esse indefinitam, quam sunt ipsi termini? Deinde in Proœmio nostræ Geometriæ partis universalis, sic dico. Alii objiciunt contra prop. 2, ita; si addatur termino & termino , enervetur vis utriusq; demononstrationis. Respondeo, esse quantitatem indefinitam & alias quantitates indefinitas præter ipsos terminos convergences compositonem non posse ingredi, quod analystam latere non potest: Eodem modo respondeo Hugenio, esse quantitatem indefinitam & ideo compositionem non posse ingredi. ”

“ Manifestum est hunc demonstrationem eodem modo applicabilum esse omni seriei convergenti. In objectionibus 2, 3 & 4, contra suas ipsius imaginationes argumentatur Hugenius: Ego enim satis dilucide affirmo in scholio prop. 5, et in fine prop 9. septimam & nonam propositionem esse particularem, unamquæmq, suo casui; item in prop. decima (quam ergo progenerali substituo) evidenter suppono, & non quero, illam quantitatem eodem modo compositam ex primis, quo ex secundis terminis convergentibus; satis enim scio, talem methodum generalem esse impossibilem. ”

“ Respondeo, etiamse divisio per à me satis inconsiderate neglecta sit, aperte tamen constat, me hoc cognovisse ex diversitate methodorum, quibus utor in septima & decima, quippe ista particulari, in qua quantitatcm illam quæro, & hac generali, in qua illam suppone; nulla enim alia ratio hujus diversitatis excogitari potest; quod etiam ex ipsis septima & decima est manifestum, cum appellum semper terminos convergentes quantitates indefinitas, hoc ipso satis significans, nullas alias quantitates indefinitas calculo inesse. ”

“ Semper credidi in rebus scientificis verba ita candide esse explicanda (se modo possibite sit) ut discursus nullum includat absurdum; at Hugenius statis percipit, discursum nihil continere absurdi, modo nulla quantitas indefinite præter ipsos terminos compositionem ingrediatur; judicat tamen absque omni ratione, me contrarium existimasse; libenter eni, optarem Hugenium assignasse locum, ubi assero, illam inquisitionem 7mæ esse universalem. Dico igitur & declaro me intelligere, nullam quantitatem indefinitam præter ipsos terminos convergentes compositionem posse ingredi. ”

“ But that Valley being once past, it went above a mile (up-hill) in two months time, and over-ran 200 acres of very good Corn the same year. 'Tis now got into the body of this little Town, where it hath buried and destroy'd divers Tenements and other Houses, and has inforc'd us to preserve the remainder at a greater charge than they are worth. ”

“ In this disquisition, he reasons upon nothing but what he hath found in himselfe, and as if he had never yet been assur'd, there were any other men besides himselfe, he says in the very beginning upon this consideration, viz. Whether it be necessary, that all Bodies, which he sees to be like his, be united to such Souls as his. ”

“ This indeed is cleer enough, and obliges us to averre a greater antiquity of this operation, than before we were aware of; though 'tis true, Libavius did not propose it but only to mock at it (which is the common fate of new Inventions, in their Cradle;) besides that he contrives it with great danger, both to the Recipient and Emmittent, by proposing to open Arteries in both; which indeed may be practised upon Brutes, but ought by no means upon Man.
Mr. Gregories Answer
To the Animadversions of Mr. ”

“ Quoniam non refert in Problemate, five termini convergentes a, b, fint primi, secuudi vel tertii, &c. manifestum est, omnis seriei convergentis terminationem eodem modo esse compositam ex terminis convergentibus primis, quo ex secundis, tertiis, &c. SI quis aliud exemplum desideret, sint primi termini a, b, secundi r'a'b=" fab, quantitias eodem modo composita &c.. est a b & seriei terminatio r"a'b*: videat Hugenius, duo example legitima hic adducta inquisitionem septimæ non, admittere; ope tamen prop. ”

“ Con. 10Præcedentibus perceptis, evidentissimum est, Circuli, Ellipseos vel Hyperbolae Sectorem esse terminationem seriei convergentis, cujus primi termini , , & secundi , . & proinde Sectorem eodem modo componi ex primis terminis quo ex secundis; atque evidens est, nullam dari quantitatem eodem modo analyticè compositam ex primis terminis quo ex secundis, quoniam primos eodem modo analyticè tractando quo secundos, semper restat altior potestas ipsius a in primorum producto, quam in producto secundorum ”

“ Manifestum est, quantiatem ab codem modo sieri a terminis convergentibus a, b, quo a terminis convergentibbus immmediate sequentibus ig': & quoniam quantitates a, b, indefinite ponuntur pro quibustibet totius seriei terminis convergentibus, evidens est, duos quoscunque terminos convergentes propositæ seriei inter se multiplicatos idem efficere productum, quad faciunt termini immediate sequentes etiam inter se multiplicati ”

“ AD ea quæ dicit D. Hugenius contra meam Circ. & Hyperb. Quadraturam, ingenue fateor (cum illa scriberem) me non animadvertisse exemplum in prop. 10. non esse seriem convergentem; experientiam enim feci solummodo de primis & secundis terminis, non considerando tertios cum primis coincidere; nam ratiociniis insistebam, de exemplis parum solicitus: Ut autem apparent in hoc nihil contineri contra nostram Doctrinam, agedum hoc loco 10. prop. totidem verbis, sedcum legitimo exemplo, repetamus,
Prop. ”