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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 16, page id 1066518432:0044
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F1S. 7.
16 DF V ERFDUS EF MIOTFBUS CORPORUM. L IB. I.
diverla esse posset, et hoc lemma etiam generaliter rerum est, sci-
licet tunc etiam, cum rerera graritatis Colicitationes ipS COrDO
rum maSsIS A, B, C, D provortionalia non existunt, id Paltem indi-
candum fuit hoc loco. Nam sI per A, B, C ec. non amplius, ut
in propolitione, malla horum corporum, sed pondera corum ab-
Toluta intelligantur, canon provolitionis adhuc obtinebit. Verum
latius Foret, per A, B exc, ut in propolitione, intelligere mactas
horum corporum, ex, juxta articulum 32, corum pondera designa-
re per Facta ex mastis in graritaris Colicitationes P, Q, R, S quibus
singula A, B, C, D respectire ursentur, id est per AP, BQ, CR, de
D. S ec. Ouod alibi in applicatione oblerrabimus.
PROEOSITIO V. PIEOREMA.
49. Solicitationum quarumlibet PR, PB, PC, PD eC. eidem mobi-
li Pimpressarum media directio PF, est recta juncens centrum eravi-
tatis mobilis P ex centrum gravitatis F omnium punctorum A, B, C,
DaC. quibus rectae solicitationum repraesentatrices terminantur; ex
solicitatio ex omnibus corpori impressis resultans exponi debet multiplo
rectae PF, secundum punctorum seu solicitationum impressarum nume-
rUM.
Permobilis P centrum graritatis ducta intelligantur plana PS _c
atd sibi inricem recta, _ per terminos rectarum PA, PB _EC. per
pendiculares ad planum ad demittantuE Aa, Bb, CC, Dd, BE CZ Cen-
ErO graritatis F punctorum A, B, C ec. normalis Pe. Solicitatio.
num numerus dicatur N, e in producta PF. TUMatE PIE =NY, PF.
Dico PR exponere Colicitationem ex omnibus mobili P impressis
PA, PB, PC, PD _C. nalcenteM.
L. PEF E BE RR AGANEUE F P e RS plano aPd equidistantes, ob
triangulorum PLF ex PSR limilicudinem, et propter PR =II, PF,
CrUNE PS == IT, PL ∞ SR = N, LF.
TI. Ouia F est centrum graritatis punctorum A, B, C, D etC.
quorum numerus secundum hypothesin est NI, erit (5. 46.) aA = bB +
cC  aD +ecC. = C. et, dc PC + P d -+ eEC. - Pa - PD = eC. =IT. PC.
TIT. Ouia singulis Eolicitationibus obliquis (5. 39.) requipollent
Tolicitationes carum laterales plano aPd perpendiculares ex paralle.
lie, Scilicet ipsi Pa aequipollent laterales aA, Pa, ipsi PB verO la-
terales bB e Pb e sic in exeteris, omnibus obliguis aequipollebunt
omnes earum laterales lelicicationes, id e conspirantes aA, bB,
CC