Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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per arcum DM ſubquadruplum DF.ad tempus, quo deſcendit per arcum
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EK ſubquadruplum EG; </
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<
s
id
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N1723F
">denique vt tempus, quo per minimum ar
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cum quadrantis DF, ad tempus, quo deſcendit per alium proportiona
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lem, ſcilicet quadruplum in quadrante EG; </
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<
s
id
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N17247
">atqui tam parui arcus poſ
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ſunt aſſumi, vt ſint ad inſtar lineæ rectæ deorſum tangentis ſcilicet in D
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& in E; </
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<
s
id
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">igitur in his rectis deſcendunt grauia iuxta progreſſionem præ
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dictam; </
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<
s
id
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N17255
">id eſt, cum arcus minimus aſſumptus ab E, qui æquiualet rectæ,
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ſit quadruplus arcus minimi aſſumpti à puncto D, tempus, quo percurri
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tur ille primus, eſt ad tempus, quo percurritur hic ſubquadruplus, vt tem
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pus, quo percurritur EG ad tempus, quo percurritur DF vt dictum eſt; </
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<
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ſed tempus, quo percurritur EG eſt duplum illius, quo percurritur DF; </
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<
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igitur tempus, quo percurritur minimus arcus aſſumptus ab E, & qui eſt
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ad inſtar rectæ, eſt duplum temporis quo percurritur minimus arcus aſ
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ſumptus à puncto D ſubquadruplus prioris, & qui eſt etiam ad inſtar re
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ctæ; igitur ſpatia ſunt vt temporum quadrata. </
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>
</
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<
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<
s
id
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N17271
">Quod autem tempus, quo percurritur EG ſit duplum illius, quo per
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curritur DF, patet experientiâ; </
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>
<
s
id
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N17277
">nam ſi numerentur ducentæ vibrationes
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funependuli CD; </
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>
<
s
id
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N1727D
">eodem tempore numerabuntur centum vibrationes
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maioris CE; </
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>
<
s
id
="
N17283
">igitur vibrationum minoris numerus eſt duplus numeri vi
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brationum maioris, dum ſimul vibrantur; </
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<
s
id
="
N17289
">igitur eo tempore, quo fiunt
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100.maioris, fient 200. minoris; nam omnes vibrationes eiuſdem fune
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penduli ſunt æquò diuturnæ, licèt fiant per arcus inæquales eiuſdem. </
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<
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quadrantis, vt ſæpè obſeruatum eſt. </
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<
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">In his tribus potiſſimum experimen
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tis fundatur hæc hypotheſis Galilei, quæ nec clariùs meo. </
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<
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">iudicio, nec
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ſinceriùs exponi poſſunt. </
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>
</
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<
p
id
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type
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">
<
s
id
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N172A1
">Antequam rationes, quæ pro hac ſententia facere videntur, propona
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mus, refellamuſque; </
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>
<
s
id
="
N172A7
">oſtendo primò quomodo cum his experimentis
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ſtare poſſit noſtra hypotheſis; </
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>
<
s
id
="
N172AD
">igitur ex iis hypotheſis Galilei rectè de
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duci non poteſt: </
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<
s
id
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N172B3
">quippe hæc eſt certiſſima regula, quam nemo Philoſo
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phus negare auſit: </
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>
<
s
id
="
N172B9
">Quotieſcumque aliquod experimentum tale eſt, vt
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cum eo ſtare poſſint contrariæ hypotheſes; </
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>
<
s
id
="
N172BF
">ex eo certè neutra deduci po
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teſt; igitur ex propoſitis experimentis ſuam hypotheſim Galileus non
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legitimè deducit, quod vt clariſſimè oſtendam. </
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>
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<
s
id
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">Suppono, quando dicitur ſecundum ſpatium eſſe triplum primi ſup
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poſitis æqualibus temporibus, non ita Geometricè, certaque, & acuratâ
<
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aſſertione hoc dici; </
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>
<
s
id
="
N172D1
">quin vel aliqua puncta in ſpatiis, vel inſtantia in
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temporibus deſint, vel ſuperſint; </
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>
<
s
id
="
N172D7
">ſi enim quis diceret ſpatium eſſe tri
<
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plum primi minus 100000. punctis, vel ſecundum tempus eſſe maius
<
lb
/>
primo 100000. inſtantibus; quis hanc, vel ſpatij, vel temporis differen
<
lb
/>
tiam ſenſu percipiat? </
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>
<
s
id
="
N172E1
">cum tamen experimentum omne phyſicum ſenſui
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ſubeſſe poſſit; </
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>
<
s
id
="
N172E7
">nec eſt quod aliquis dicat hoc idem toties obſeruatum
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eſſe, tam multis locis temporibus, totque ac tantis etiam teſtibus, vt mi
<
lb
/>
nimè fraus aliqua, vel error ſubrepere potuerit; nam cum parua ſit, &
<
lb
/>
inſenſibilis tùm ſpatiorum, tùm temporum differentia, maius vel minus
<
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/>
æquali tempus, pro æquali, maius.vel minus triplò ſpatium pro triplo </
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