Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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nimo etiam ictu moueri; </
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<
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">quod etiam obſeruauit Galileus in ſuis dialo
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gis de motu; </
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<
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id
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">quem certè motum obſeruabis etiam inſenſibilem, tùm
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operâ radij luminis repercuſſi, & ad aliquod interuallum proiecti; </
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<
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">tùm
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operâ ſeu piſorum in tympani membranâ tremulo quaſi motu ſubſul
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tantium; quâ etiam arte deprehenditur in arce obſeſſa, ſub quam muri
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partem cuniculi agantur. </
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Corollarium
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1.
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<
s
id
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">Hinc egregia ratio erui poteſt, cur ingens corporis moles à debili po
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tentia loco moueri non poſſit; </
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<
s
id
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">cum enim tot ſaltem requirantur partes
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impetus, quot ſunt partes ſubiecti: </
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<
s
id
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">quia vel in omnibus, vel in nulla
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producitur; </
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<
s
id
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">certè cum ſint plures partes ſubiecti, quàm vt in ſingulis
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ab ea dumtaxat potentiâ impetus produci poſſit; quid mirum eſt, ſi mo
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ueri non poſſit. </
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Collorarium
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2.
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<
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">Hinc certa ratio alterius vulgaris effectus potentiæ motricis, quæ lapi
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dem 40. librarum tardo tantùm motu impellit, etiam cum ſummo niſu,
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cum tamen ſaxo vnius libræ velociorem motum imprimat; </
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<
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id
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">quia ſcilicet
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partes impetus producti diſtribuuntur pluribus partibus ſubiecti in ma
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iori lapide, & paucioribus in minori; </
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<
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">igitur ſingulæ partes minoris
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habent plures partes impetus, vt manifeſtè conſtat; </
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<
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">ergo ille impetus
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intenſior eſt; igitur maiorem exigit ſeu perfectiorem motum per Ax.
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13. num.2. </
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Collorarium
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3.
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<
s
id
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">Hinc ſublata ratione diuerſæ reſiſtentiæ medij, dato pondere
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mobilis vtriuſque, datoque niſu communi potentiæ, poteſt de
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terminari certus velocitatis gradus vtriuſque; </
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<
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id
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">nam ratio velocitatum
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eſt inuerſa ponderum v. g. ſit pondùs 4. librarum; </
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<
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id
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">fit etiam 2. librarum
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ſit impetus impreſſus vtrique ſuppoſito communi, & æquali niſu
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potentiæ, & æquali tempore; </
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<
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id
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">haud dubiè velocitas mobilis 2. libra
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rum erit dupla velocitatis mobilis 4. librarum; </
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<
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id
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">quia cum ſint duplo
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plures partes ſubiecti in hoc mobili quàm in illo (accipio enim vtrum
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que eiuſdem materiæ, vt omnes lites fugiam) igitur in minori eſt duplo
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intenſior impetus: Igitur duplo velocior motus; </
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<
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id
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">dixi, ſi fiat æquali
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niſu, & æquali tempore; </
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<
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id
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">quia reuerâ non fit in tempore æquali, ſed
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inæquali, ſi ſupponatur idem arcus brachij v. g. iacientis; </
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<
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id
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">nam tempo
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ra ſunt in ratione ſubduplicata ponderum; vt demonſtrabimus lib. 10.
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& velocitates ſunt vt tempora permutando. </
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Collorarium
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4.
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<
s
id
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">Hinc facilè determinari poteſt proportio impetus impreſſi cognitâ
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grauitate mobilium; </
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<
s
id
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">v. g. ſit mobile graue vt4. & aliud graue vt 2. haud
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dubiè vt moueatur æquali gradu velocitatis, debet produci duplo
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maior impetus in maiori mobili, hoc eſt, iuxta rationem maioris ad mi
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nus, quod clariſſimè ſequitur ex dictis; </
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<
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