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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 599, page id 851387705:0619
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abitu
De(CCH
mo
ricuce
indos
Prop. PIIl.  Declivitate.
Fexempli pratia: Si duo Graria (seu Vires Mocrices) V, P, Sint, vel Fonde
aequalia, e (pro situ quo ponuneur) aequaliter (dum moventur) aut Descenture
aUE ACCenSuT; vel, quod Grarius elt, in eadem ratione (eodem cempore) mi
38,39,
nus sit Delcensurum; sEquiponderabune: (proprer Descensus Ascensutre xgui 40.
pollences, per s hujus.) Sin alcerius praepolleat, quae ex Pondere et Alcicudine
oritur, Velcentus magnicudo: praeponderabit iltud; acque in eadem ratione cum
illa prapollentia. Puca; Delcensus Ponderis 2 P per Alciudinem 3D, cum DC.
scenlii Ponderis z P per Alcicudinem 2 D compararus, quipollebir; (propter
13
=3X2;) adeoque qua sic movenda sune, Aquiponderabine. AI, Delcc.
lus Ponderis 2P per Alricudinem 4 D, Descentui Ponderis 3 P per Alcicudinem
2D, Drapollebit, (PFOPIEF 2X4 = 3X2;) Adeoque, quod sic movendum eries
praeponderabit. Et in aliis limilicer.
37
L2
Si (cxeteris paribus) ad duos (pluresre) mo-
tus aequaliter provendeat Crare, (vel ex plu-
ribus conjunctis Craribus Agoregatum,
neque ad alium ullum maxis propendeat:
NuIIO FCrCtF.
Sin ad unum aliquem, pra exeteris, maxime
propendeat: illo (nisi alias impeditum) te-
cetur.
Idem incellige, mutatis mutandis, de quacunque Vi MOtricE.
BVIa; Si ad A, B, aequa lités provendeat Prare C: neurra seretur. Nam (per
12 Cap. T.) propentiones contrarix (siquidem urrinque simul terri mon Posic)
cum sint Aquales, se mucuo perimunt. (st similiter B ad plures adhuc motus
rqualiter propenderer.) Sed nec alio teretur mocu (liquis lc) cur minus pro-
pendeat; Duta ad C. Nam (per eandem) huic praepolleret ucraris duarum ad
A, B, ProventiO; _GrarO DEXTipereL. Adeoque, h ad nullum masis propendear
nullo FeretUT. Ouod erat primo probandum.
Sin ad unum aliquem morum puca ad D, quam ad exterorum ullum, maris
provendear: sinsulis haec prapollebit; Adeoque (nisi alias impeditum) hac fe-
recur Crare: (per candem 12 Cap. E.) Quod ilidem probandum erat.
P incerim, nequis metuat, impersectam este hane Demonstrationem, ec
quod ucuc conatus scu Proventio ad D uni cuiris ex reliquis praepolleat
non inde camen seguatur, quod prapolleret itaque ee simul omnibus, cum tamer
omnes huie adrerlencur: Monendum hie erit; non cum simul omnibus reliquo
rum comparandum esle conatum hunc ad D, sed cum lingulis sixillarim; eo quod
non simul omnibus illis terri possic, sed nec pluribus limul, sed uno falcem ex
omnibus: Adeoquem conacus ad D, E sisillacim sinsulis praepollea, omnibus pra.
ripiet grare.
Secus autem omnino est, ubi plures consentientes conacus, uni alicui advertan-
FUT. Puta E plura Minoca graria, uni alicui (lingulis quidem, sed non omni
BuS) Mtajori, in opposita Librae lance, contra ponderarent. Ouamquam enim
Majus illud in una lance, reliquorum sinsulis in alcera, prxpolleat; Minora camen
haec Funul Sumpra F iheam in Tuas parres trahent; Ouia, cum simul omnes illi co-
natus minores in eundem motum conspirant, pro Conjunctis habendi sune cona-
ribus, non Dispararis. Conra quam hic obtiner.
Ouodque hic monemus, alibi (siqui similes occurrune casis) incellisendum
erit