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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)
# Folio 947, page id 851387705:0967
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P
Maniteltum ueique estu Onus Cilero A incumbens, tantum elte, quanta vis elt
quae ibidem Foret necessaria huie sultinendo onet  (WaleMle Lutero B) tulerun
A abelset. (Onippe tancum Onus est, quanta Vis eAquae Fultinendo susticie: per
PrOV. TF. Cap. T. vel prOP. 28. Cap. 2.) Hloc eAt; (propier diltantiam AB, duplara
distantix OB,) qua dimidio Oneri aequipollet, (per ProP. 3. hujus.) Idemque (i-
de Pulero B. Adeoque rocum onus requaliter inter se partiunsit
duo Fulena A, 1. Ouod ostendendum crar.
militer oltendet
Si vero Punetum O (quoe I Vet Woldo Veclis leu Frabis Pienive aur P alat. FiE, 257
ipso Veclis puncto medio. Orcunque tanto Onere premitur Fulerum A, quanta
Vis es qua huic ibidem sultinendo par ellet, A abesset a fulerum: Iloc Clt (Per
prov. 3. hujus,) quod sit, ad tocum Pondus, in ca ratione quae elt reciproca di
Ttanciarum A B, OB; hoc est, ut OB ad AB. FF similiter ostendetur coonere
premi fulerum B, quod sic ad Pondus totum, in ratione reciproca distanciarum
BA, OA; hoc est, ut O A ad candem AB., FF proprerea (ob eundem ucrobique
contequentem) onera Fulerorum A, B, lune ad invicem, ut O B ad O A; hoc est
in reciprocaratione suarum (ab applicacionis puncto) diltanciarum. Qua iiclem
crant demonstranda.
Sin plura applicencur Pondera, puca alterum in 0, alterum in I: Similicet Fie. 234.
octendetur, Fulctum A, eam parcem ponderis O sustinere, qua sit ad cocum ul B
ad A B; canque parcem ponderis L, qua ad ToruM SC uc PB ad A B: FF FHICLHHC
B, caus tultinere ponderis O parcem, qux sic aet cocum, ut O A adt B A: canique
partem ponderis L, quae lic ad torum ut L A ad B A.
Vel otiatu, (i per prOP. 27. Cap. 4. quaetacur commune simul uirius que Epetitium
graricaris; acque ibidem ucraque censeantur tanquam unum Pondus applicari: HIu
jus eam parcem sultinebic urrumvis tuterum, quam indicane reciprocae diltariria
(pet modo demonstraca.) Fancundem urique grarant ulcunque applicata pon-
dera acque si ibidem ellent ubi ett commune omnium Cenirum figricass: per prep
16. 827. Cap. 4.
+
Leoauem diserte, In suu LTorizontali jalcM. Olaniquam enim de hac COr, Fif. 2,
que vertim est vE, Pront alterutruse rec excremum A. altinscelevatur, ila coni
nuo minuatur Onus; donec tandem, ecte ad lirum perpencioulavem orectaita
Fulerum A nihil prortus oueris sustineat, sed B tOruM. Quod in erigenda PrX-
lonsa Pertica, rel Scala, facile quis deprehendat.
ex Centrum graritatis, vel punctum applicationis imposuti Ponderis) non lic in
ditione prortus tacere soleant Mechanicorum Seripiores (quantum sejo
Omnes:) rationem onerum ad Ae B, eandem altignent in Obliquo rectis sicu,
quam allignant in siem Forizontali: F.st tamen onerum, alia plane ad invicem ra
tio, in hoc, arque in illo, Sicu. (Or ex dicendis adt prop. P. Parebir.) Quod quidem cous-
Dau 2