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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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erop. II. eCrannu seudsatio
am pure Mathematicam, quam propter racionem Phylicam; ob corvorum (ez
briciem. Onippesi cum Orbiculi cum F’unis ductarii superticies essent tam MI2S
chematice Policx ut nulla foret ad inricem adhaelio; quin posset Funis tam ex
Dedite labi, quam Orbiculus converti: Demonstracio non minus procederet de
CA Orbiculo (aliore duro CorpOrC) permanente, quam circa C converto. C’um
vero (ut ad Cap. praeced. octensum clt) haec corporum Prictio, seu Abratio mu-
cua, impedimento sit ne expedice moreatur Funis; Crque haec major futura si in
A permanentem teret, quam si circa axem C exiguum; (ob rationes in Con per
ced. ostentas:) hinc est, quod Orbiculorum ulus sic ad mocum expedite taciendum
apprime ncilis.
Maniteltum item est, ob hujusmodi Orbiculum singularem, loco suo fixum,
(intellise, ita uc inde non amoreatur, utut inibi circa axem volratur;) led neque
ob plures sic tixos, (ut post dicetur, ec quidem ob eandem rationem;) nullam
in V virium requilicarum minurionem interri: (cum Vis eadem in P, nON MinuS
quam in V, s ponderi aequalis lic, suctincbic; si major, movebit. ) Pocest camien
ob causas alias ului esse huc Orbiculus. Ouippe fieri pocest libi Vis Flumana
(rerbisratia) applicanda lic, utq propter commodiorem corporis Grum, Hs ca
Pollic forcius exeri in V quam in F: Vel etiam, in V, non modo ris nerrorum (qua
Sola Porerit in P’applicari) sed ipsum Pondus humani corporis applicari ad con-
trarium Pondus in P Tollendum: Vel denique ob alias circumCtancias, (quae Pex
senti considerationi omnino lunt extrinteca, nec pollunt Facile numCTarL,) non
parum adjumenti poterir accedere.
Quod aurem Orbiculorum magniendinem aue parriratemm spectar; ex Scholio
propolicionis ulcimae Capicis pracedemis pecenctum C. WP) Cs HICIII
(112110
ie sin
Si Frochlea Orbiculus singularis, Ponderi conjinctus siC, _ CHH eo
craltendus; eique Elcumpositi Funis ductaru excremu alcetum
Oneo (vel alias) Arum sib, alceri vis Mocrix applicctut. sgui-
pollebit Conderi (sen impedimeneo amorendo) Vis Dimicuu (di-
recte apPlicata:) adeoque sustinebit; acque aucra Morebic; Munuta
rero ne suctincbit quidem.
NDM enim, ACcendeme Orticulo, ejutre Centro C
(una cum annexo Pondere, ) tancundent ascendac
P punctum concaetus Orbiculi l’unisque VP, acque ob
eam rationem tancundem promoreacur seerudum directio.
nem Tuam Vis motrix V: Sed de tancundem ascendat pun-
ctum contactus Orbiculi ejusdem cum tine pensili IFF
(ab F puncto fixo ad orbiculum in HL perrinseme,) de
propterea cantundem abbrevietur Funis P HI; quantum au-
Tem Funi F FI ita demitur, tancundem vertente Orbiculo
transseratur ad tunem TV, qui propierea tantundem pro.
lonsatur: Fsinc Hc, quod Ascensus puncti V, (Seu promorio Vis motricis secuu.
dum directionem tuam,) Duplus st ascentus CeniriC, ponderitre P. Ouippe
cancundem promovetur V propter alcentum puncti Y: ausle secuuca vice la-
tundem propier prolongatam PV rectam. Sed Pondells LH, aequipollet
lebic Vis Dimidia in V. Adeoque LPer PTOP. XI, 12. Cap. T. ) sustinebic, ee aucta
morebit, minura vero nequidem sultinebit.
Vis Dimidia Ascentio Dupla; Der DEOP. 5. CaP. 2. Ponderi itaque in P aequipol-
183. 11101