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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 228, page id 1066518432:0256
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228DE VIRIBOS ET MOTIBOS CORPORVM. L. IB. II.
Si negas, attollatur ergo aqua, amoto opcrimento curro IPE,
quam inter sectiones CII e FF, ergo minus aquae Auit per lectio-
nem EF quam per praecedentes versus Cl ri pressionis naturalis
aquae incumbenris, contra hypochesim.
5 C. H, O. F Y O. N.
4. LF. L restonum naturalium nomine intelligimus eas, quarum ope
relocitates aquae, ut in F. et F, Tune in lubduplicata proportione al.
ticudinum Or, Ls, vel iplarum OD, e ID. Nam quacunque
st superticies IFTFE, eadem aquae copia per linsulassectiones CrHI,
EF, _C. Auet propter contisuitatem partium aquae, quandiu cana-
lis superticie illa curra opertus manet, nec tamen ideo celeritates
aquae reguntur a partibus incumbentibus, juxta tenorem et lesem
pressionum naturalium; hoc est, velocitates, CX. gr. in F X F, non
tunt hoc calu generali ex necessitate in ratione (ubduplicata Or,
ad Ls. Ac propterca contingeret ut remoto opcrimento canalis (u-
perticies tamdiu mutetur, usque dum aqua dettuens in canali eam
naCta SE, quae a prestionibus aquae naturalibus unice dirigatur, ac
manens Aat; et haec proinde ca ipla est, quam operimento IHZ attri-
buimus, adeo ut aqua continue in canali Auere queat, (i ejus luper-
sicies figuram habeat iltius operimenti, sire aqua recta sit isto ope.
rimenco lire non.
C OK OL L A R FU M Y
q In trac prestionum naturalium hypothesi innotelcere potelt,
quantum desu Peleas lectiones canalis dato tempore Auere de-
Beat. Nam producta prima sectione TC in D usque ad occursum cum
superticie aquae in castello AD, ee indetinite deortum in O, et juxta
conditiones paragraphi 404 vertice D circa axem DO descripta
56. 96. Parabola D PV, Ordinatae ejus LY ec OV, quae transcunt per puncta
L ec O, in quibus linex FL SE F O. Superticici aguae in carzelio AD
Parallelae, et per terminos cujuscunque sectionis FF ductx, axi para-
bolae DO occurrunt, exhribebunt quadrilineum parabolicum LTVO,
quod in laticudinem sectionis artificialis ductum manifestabit quan-
titatem aquae per sectionem. L. F. unius minuti horariitempore Auen-
eis, quia calculus propositionis 37. ad hoc tempus est aptatum. Ipsius
regulae ratio patet ex hac ipsa propostione recensiIa.
o