Fabri, Honoré
,
Dialogi physici in quibus de motu terrae disputatur
,
1665
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ctum producit, cùm eadem ſit cauſarum & effectuum proportio. </
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Antim.
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<
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id
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"> Non nego, duplum eſſe effectum, ſed nego, duplam eſſe vim
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morus, id eſt motum duplum, ſeu duplo velociorem, & ne diutiùs te ſu
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ſpenſum habeam, ſimili ferè experimento rem iſtam explico: Sit vas quod
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libet AB; ſitque inſerta fiſtula in B, per quam,
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ſi aperiatur, effluat aqua priùs infuſa; & primò
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quidem aqua occupet totam altitudinem AB,
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Tum deinde ſubduplum BE, non eſt dubium,
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quin Cylindrus BA extrudat aquam per fiſtulam
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BC, majore vi, quàm Cylindrus EB; non ta
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men duplo majore, licèt Cylindrus BA fit du
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plus Cylindri BE; ſi enim dupla eſſet vis motus,
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id eſt motus ille, quo per fiſtulam aqua erumpit,
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duplo velocior, duplæ cauſæ, quadruplus eſſet ef
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fectus; nam ſi motus eſt duplo velocior, eo tem
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pore, quo data quantitas aquæ v.g. vncia effluit,
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extruſa à Cylindro BE, effluent duæ vnciæ ex
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truſæ à Cylindro BA; ſed extrudere duas vncias,
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duplo motu, eſt quadruplus effectus: nempe extrudere vnam duplo motu
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eſt effectus duplus, ergo extrudere duas, duplo motu, eſt quadruplus. </
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Auguſtin.
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<
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id
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"> Rem capio, igitur ad effectum quadruplum, opus eſt cauſa qua
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drupla; igitur Cylindrus BA producet duplam vim motus, comparatus
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cum Cylindro AF ſub quadruplo. </
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<
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id
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">Et verò licèt in majore ſaxo aliqua cau
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ſa motrix eundem morum producat, quem in minore, non propterea æqua
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lis effectus dicendus eſt; vt patet: Vnde minùs cautè duplum illum dixe
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ram motum. </
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Antim.
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<
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id
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"> Effectus igitur ſunt vt cauſæ, cauſæ vt altitudines, motus in ſub
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duplicata altitudinum, effectus demum in compoſita motuum & quanti
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tatum; & quia motus ſunt vt quantitates, effectus ſunt in duplicata mo
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tuum, vel quantitatum. </
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Auguſt.
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<
s
id
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"> Mihi tamen gravis ſuboritur difficultas; nam in ſcypho illo im
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merſo, vna tantùm eſt quantitas aëris; igitur non creſcit effectus ex quan
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titate, quæ non creſcit; igitur tantùm ex motu; igitur ſi cauſa dupla eſt,
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motus erit duplus. </
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Antim.
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<
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"> Acutè prorſus: facilis tamen eſt reſponſio, cùm perinde gravitet
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Cylindrus aquæ in ſubjectum aëra, atque ſi hic ſtatim extruderetur, & alius
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ſuccederet; ſicut Cylindrus AB primum gravitat in primam vnciam, quam
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extrudit, ſive deinde
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ſecundã
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extrudat, ſive non extrudat; quia ſtatim clau
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ditur fiſtula; inde igitur vis motus extruſionis petenda eſt, quod produca
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tur vis motus dupla, ac proinde prima vncia duplo velociore motu extru
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datur; igitur ſubduplo tempore; igitur reliquo ſubduplo ſecunda vncia,
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vel extrudatur eodem motu, vel extrudi poſſit, licèt non extrudatur; idem
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dicendum de aëre immerſo ſcypho contento, in quem Cylindrus ea vi gra
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vitat, qua illum extruderet, ſi extrudi poſſet; eadem igitur eſt vtrinque
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ratio. </
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